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\begin{document}
\begin{center}
{\Large\bf {Internet pricing and the history of communications}} \bigskip \\
Andrew Odlyzko \\
AT\&T Labs - Research \smallskip \\
amo@research.att.com \\
http://www.research.att.com/$\sim$amo \smallskip \\
Revised version, February 8, 2001. \\
\vspace*{1\baselineskip}
{\bf Abstract} \\
\end{center}

% \setlength{\baselineskip}{1.5\baselineskip}

There are repeating patterns in the
histories of communication technologies, including ordinary mail,
the telegraph, the telephone, and the Internet.
In particular, the typical story for each service is that 
quality rises, prices decrease,
and usage increases to produce increased total revenues.  At the
same time, prices become simpler.

The historical analogies of this paper suggest that the Internet
will evolve in a similar way, towards simplicity.  The schemes
that aim to provide differentiated service levels and sophisticated
pricing schemes are unlikely to be widely adopted.

Price and quality differentiation are valuable tools that
can provide higher revenues and increase utilization efficiency
of a network, and thus in general increase social welfare.
Such measures, most noticeable in airline pricing,
are spreading to many services and products, especially high-tech ones.
However,
it appears that as communication services become less expensive
and are used more frequently, those arguments lose out to customers'
desire for simplicity.  

In practice, user preferences express themselves through
willingness to pay more for simple pricing plans.
In addition, there is a strong ``threshhold''
effect to usage-sensitive billing.   Even tiny charges 
based on utilization decrease
usage substantially.  In a rapidly growing market,
it is in the service providers' interest to encourage usage,
and that argues for simple, preferably flat rate, pricing.
Historical evidence suggests that when service costs decrease, 
such arguments prevail over the need to operate
a network at high utilization levels and to extract the highest
possible revenues.


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\begin{center}
{\Large\bf {Internet pricing and the history of communications}} \bigskip \\
Andrew Odlyzko \\
AT\&T Labs - Research \smallskip \\
amo@research.att.com \\
http://www.research.att.com/$\sim$amo \smallskip \\
\end{center}
%\vspace*{2\baselineskip}

% \begin{quote}
% {\em
% {\bf Note:}  For more detailed discussions, data, and references,
% see the much more
% extensive work, 
% ``The history of communications and its
% implications for the Internet,'' available at

% ~~~~~~~~~~~~$\langle$http://www.research.att.com/$\sim$amo/doc/networks.html$\rangle$.

% }
% \end{quote}




\setlength{\baselineskip}{1.5\baselineskip}
\section{Introduction}
\hsp
The history of communication technologies, including
ordinary mail, the telegraph, the telephone, and the Internet,
shows a consistent pattern.  Quality rises, prices decrease,
and usage increases to produce increased total revenues.  At the
same time, prices tend to become simpler.  Will the Internet
follow the same trend?

The Internet has historically treated all packets equally, and
pricing has been predominantly through flat monthly rates
depending only on the size of access links, not on usage.  
However, there is a strong momentum towards changing both of these
principles.  This would go against the historical trend
of other communication services.  
The basic reasoning behind this move was articulated
by Pravin Varaiya
in the INFOCOM'99 keynote lecture:
\begin{quote}
Although flat-rate continues to be the predominant form in which
Internet access is sold, that form of pricing is unviable.  Flat-rate
pricing encourages waste and requires 20 percent of users who account
for 80 percent of the traffic to be subsidized by other users and
other forms of revenue.  Furthermore, flat-rate pricing is incompatible
with quality-differentiated services.
\end{quote}

To properly evaluate Varaiya's claims, it helps to consider historical
precedents.  
For example,
in the early days of telephony, local calling around the world
was typically covered by
a fixed monthly fee.  This practice was frequently questioned.
An investigation of phone
service in New York City in 1905 concluded, in words strikingly
similar to those of Varaiya,
\begin{quote}
that, so far as large cities are concerned, unlimited service is
unjust to small users, favors large users unduly, impedes expansion
of the telephone business, tends to inefficient service, and that,
as a financial proposition, is unsound.

\hspace*{+3in}p.~246 of [Stehman]
\end{quote}

The technology and economics of
early telephony (in particular, the diseconomies of scale
caused largely by the need for human operators to set up
each call)  made the reasoning behind
that 1905 conclusion even more compelling than the arguments supporting
Varaiya's call for abandoning flat rate for Internet access. 
This led most of the world towards metered local phone rates.

In contrast to other countries, unlimited local calling for a flat 
monthly fee for residential users has
persisted in most of the United States throughout the 20th century.
It may have seemed unsound in 1905, and most experts still feel it is
unsound.  Yet if we compare
the telecommunications industries in different countries,
we find few signs of harm from this ``unsound'' practice.  
Table 1.1 shows that U.S. citizens use their phones 
considerably more than inhabitants of other rich
industrialized countries at a cost that is only slightly higher.
Thus at least from this superficial view, it appears that
both consumers and service providers benefit.



\begin{table}[htb]
\begin{center}
Table 1.1.  International comparison of telephone industry revenues and usage in 1997. \\
~ \\
\begin{tabular}{lr@{}lr@{}l}
country & \multicolumn{2}{c}{revenues as} & \multicolumn{2}{c}{minutes of phone} \\
& \multicolumn{2}{c}{fraction of GDP} & \multicolumn{2}{c}{calls per person} \\ &&& \multicolumn{2}{c}{per day} \\
~ \\
Finland & ~~~~~~~2&.52\% & ~~~~~~~16&.6 \\
France  & ~~~~~~~1&.93 & ~~~~~~~10&.6 \\
Japan  &  ~~~~~~~2&.06 & ~~~~~~~10&.6 \\
Sweden &  ~~~~~~~2&.05 & ~~~~~~~20&.7 \\
Switzerland & ~~~~~~~2&.66  &  ~~~~~~~13&.0 \\
U.K. & ~~~~~~~2&.51 & ~~~~~~~12&.7 \\
U.S. & ~~~~~~~2&.86 & ~~~~~~~36&.9 \\
\end{tabular}
\end{center}
\end{table}



Not only has the U.S. phone industry managed to thrive in spite
of its supposedly unsound practice of unlimited local calling,
but Germany, Japan, and the U.K. are re-introducing
limited forms of flat rate pricing.
The pressure for such unmetered plans in other countries is also
growing.

Usage-sensitive pricing is effective.  The problem is that 
many of its effects are undesirable.  
In particular, such pricing lowers demand, often by
substantial factors.  Fig. 1.1
shows what happened when AOL
switched to flat rate pricing in October 1996.  
Over the next year usage per person tripled.  
(It took that long only because AOL 
could not
expand capacity quickly enough to satisfy demand.) 
Further, usage
has been increasing ever since at a rapid pace.  On the other hand,
French Internet users typically have flat
monthly rates from their ISPs, but pay by the minute for their 
local connections.
They have on average been spending a constant
time online over the last few years, as is shown in Fig. 1.1.
(These are Internet users, not Minitel ones, who even in peak
years for that service
spent under 3 minutes online per day.)
The current French usage
is similar to that of AOL subscribers before the introduction
of flat rates.  That the difference in usage is caused primarily
by pricing, not by culture, is shown by an experiment that
is taking place right now.  In May 1999, Telecom New Zealand
introduced flat rates in its XTRA ISP business.  The results
so far are shown in Fig. 1.1.  Under the stimulus of flat
rates, New Zealanders' usage has been moving from almost exactly
that of French Internet users (and somewhat higher than
that of AOL members before the introduction of flat
rates in late 1996) towards that of current AOL subscribers.


\begin{figure}[htb]
\centerline{\psfig{file=Pprice.ps,height=3in,width=4in}}
\begin{center}
Figure 1.1.~~Time spent online as function of charging method.
AOL and New Zealand Telecom XTRA ISP service introduced flat
rate plans in October 1996 and May 1999, respectively, leading
to surges in usage.  French ISP subscribers pay for each 
minute online.
\end{center}
\end{figure}




The question for service
providers and policy makers is whether Internet
usage should be encouraged or discouraged.  
Flat rates are by far the most effective method for
stimulating usage. 
The British and
the Japanese have decided 
that they would like to
encourage greater Internet penetration.
That is why they are re-introducing
flat rates.  AOL in the
mid-1990s resisted the move
to flat rates, correctly fearing the increased network load they were
likely to cause.  However, just as Dr. Strangelove and The Bomb,
AOL has learned to live with and love flat rates.
It has decided that its future is in
providing more services to its customers.
AOL's business plan over the next four years is to triple
yet again the time its subscribers spend online [Hansell].

On the Internet, increasing usage is the main imperative
for service providers.  They do have to make enough money
to recover their costs, obviously, but in the long run,
they have to encourage their customers to increase usage
of the network.  Transmission technology is increasing
available bandwidth very rapidly.  Therefore to avoid ruinous
competition like that in long distance voice services
today, carriers have to persuade users to take advantage
of the new capacity.  This is a similar process to that
of the computer industry.  The most successful companies are
those that manage to sell the latest PCs with the 
fastest processors, largest memories, etc.  

The logic of quality and price differentiation is impeccable.
In principle such practices can improve the efficiency of
the economy.
Unfortunately they conflict with very strong consumer
preferences for simplicity, and especially for flat rates.
Such preferences are not easy to incorporate into
quantitative economic models.
What forced AOL to adopt flat rate pricing was pressure 
from its subscribers, illustrated by the following incident
from the fall of 1996:

\begin{quote}
What was the biggest complaint of AOL users?  Not the widely mocked
and irritating blue bar that appeared when members downloaded
information.  Not the frequent unsolicited junk e-mail.  Not
dropped connections.  Their overwhelming gripe: the ticking clock.
Users didn't want to pay by the hour anymore.

...

Case had heard from one AOL member who insisted that she was being
cheated by AOL's hourly rate pricing.  When he checked her average
monthly usage, he found that she would be paying AOL more under the
flat-rate price of \$19.95.  When Case informed the user of that fact,
her reaction was immediate.  `I don't care,' she told
an incredulous Case.  'I am being cheated by you.'

\hspace*{+3in}[Swisher], pp.~160-162
\end{quote}

The behavior of this AOL customer is not atypical.  A large
fraction of U.S. residential users would save if they opted
for their ISPs' hourly plans instead of purchasing the \$19.95
per month all-you-can-eat option.  Such behavior is invariably
treated (when it is treated at all) in works on communications economics
as an irrational annoyance
that interferes with clever and efficient schemes.  For example,
here is how one paper on local phone service describes this situation:
\begin{quote}
...  Clearly a movement to a positive per call charge would increase
aggregate economic efficiency.  Yet nearly all proposals for a move
to [usage-sensitive pricing] have met stiff consumer resistance.  The
reluctance seems to persist even when customers face the prospect
of a [usage-sensitive pricing] plan that would, on average, result in
a lower monthly bill.

\hspace*{+3in}[Panzar]
\end{quote}
That paper then goes on to propose a
usage-sensitive pricing plan that would hopefully help wean
customers from their apparently irrational reluctance to embrace
such schemes.

This paper takes a different approach to the problem of
pricing.  It considers user preferences as a
key factor.  It presents a view of communications pricing
as that of a continuing
conflict between the need to optimize and people's
reluctance to optimize.
The historical evidence shows that,
as communication systems have grown and technology
has advanced, the balance has moved towards
catering to user preferences.  
The need to extract maximal revenues and to maximize
efficiency of the infrastructure have assumed secondary roles.

Quality differentiation and
price discrimination strategies are valuable tools, and their
use is increasing for good reasons.  
They are most
noticeable in airline pricing, but are
spreading to other areas.  For example, Coca Cola is experimenting with vending
machines that will automatically raise prices when
temperatures are high.  We can expect such practices
to be widely adopted for two main reasons.  First,
the evolution of our economy is increasing
the role of fixed costs in the provision of goods and
services.  Therefore pricing on the basis of marginal
costs is becoming untenable, and
it becomes necessary to price on the basis of customers' willingness
to pay.  That calls for quality differentiation and price
discrimination approaches such as those
of airlines and Coca Cola.  Second, modern information
technology is making such practices possible.  In the past,
Coca Cola might have wanted to price drinks depending
on its customers' thirst, but could neither predict the degree of that
thirst, nor could it adjust prices in a
timely fashion.  Now it can do both.

While price and quality differentiation are spreading, in
communication services the trend has been towards simplicity.
For example, in long
distance voice telephony, the most popular plans are the simple
ones that are independent of time of day or distance.  In the
wireless arena, the fastest growth is in offerings
such as the AT\&T Digital One-Rate\tm plan, which feature
a single payment for a large block of time, and no roaming fees.
Even on the Internet, the historical trend so far has been towards
flat rates.  A decade ago, the Internet was primarily
an experimental tool for researchers.  The general public
was restricted to the mass market online
services, such as CompuServe, Prodigy, and AOL.
These networks charged not
just for minutes of connect time, but even for individual
email messages.  Email charges were eliminated first, and by
the middle 1990s, these services switched to
unlimited access for a flat monthly fee.
They were forced into this switch by customer complaints and
competition from ISPs that offered flat rates.  (This was 
another instance of history repeating itself, since the
dominance of flat rates for residential local calling in
the U.S. appears to have resulted largely from the competition between phone
companies a century ago.)
The attempt to move the Internet back towards usage-sensitive
charging might thus be regarded, in Samuel Johnson's words,
as ``a triumph of hope over experience.''

The trend towards simplicity noted above is not new.
In later sections many more examples will be presented,
based on two centuries' worth
of data on the evolution of mail, telegraph, telephone,
and data services.  Users value simplicity, and in
particular flat rates.  They like best a single uniformly
high level of service for a fixed fee.  
Historically, even when fixed-fee subscriptions were
not offered, the trend has been to simplify the
rate structure.  (For other work that considers
user preferences in communications, see [BouchS, BouchSDM].)

How do customer desires for
simplicity translate into incentives for service providers
to avoid complicated price and quality differentiation
strategies?  The answer appears to be that as economies of scale
and technological change lower unit costs and increase
frequency of usage, service providers can collect more
money through simple plans.  This is explored in more
detail in sections 5 and 6.  Section 8 discusses additional
incentives that service providers can employ to increase usage, in
order to benefit from network effects and to enhance
the chances of migrating customers to more lucrative services.  

The history of communication suggests strongly that 
as services become less expensive and are used more
widely, the balance shifts away from the
need to segment
the market, and thereby to extract maximal revenues and to maximize
utilization efficiency of the infrastructure.  Instead,
customer desire for simplicity becomes dominant.  
This phenomenon is especially pronounced at the level
of individual consumers.
The business-to-business market is different from the
business-to-consumer market, and the focus of this
paper is on the latter, where individual preferences
matter the most.  There is no sharp dividing line
between the two markets, but there is a substantial
distinction.
For example, McDonald's
offers free sugar to its customers,
and builds the cost of this service into the price of
the coffee.  It would surely be more efficient
in terms of allocating resources to charge for each packet.
It would also be fairer, in that customers who do not
use sugar would not be subsidizing those who do.  (It would
also be healthier for the customers, as consumption of sugar
would undoubtedly decrease!)
Yet that is not done, and the customer desire for simplicity,
as well as McDonald's desire to keep transaction costs low,
lead to ``wasteful'' practices.  On the other hand, McDonald's
buys its sugar in bulk, and undoubtedly has purchasing
experts who play off various suppliers against each other, arrange long-term
contracts, and probably even trade on the sugar futures markets.
This shows the spectrum of business decisions on how far
to optimize.  The general tendency for businesses appears to be
to optimize when the optimization can be done by dedicated
specialists (such as the sugar buyers at McDonald's).
When the optimization requires many small actions by large
groups of employees, the tendency is to opt for simplicity.

The general conclusion is that we should strive for simplicity,
even at the cost of efficiency.  
That is how the world of
communications has been evolving for the past two centuries,
and that is how it is likely to evolve in the future.





{\em Note:}  The history of communication pricing is a vast subject,
and it is impossible to do it justice in the space of this paper.
Much more detail is available in the manuscript [Odlyzko5].
   
A section at the end, between the Acknowledgements
and the References, lists sources for the
data presented in the tables and figures.
It is worth
emphasizing here that all the monetary figures are in current
dollars, and thus are not adjusted for inflation.
Price indices for the 19th century are rather imprecise,
and in any case inflation-adjusted costs do not present an accurate picture
of the burden of prices back when living standards were much
lower.  Therefore some prices are stated in terms of hours of work required
to pay that price.






\section{Growth in communications: quantity and quality}
\hsp
The explosive rise of the Internet is only the most recent
chapter in a remarkable history of humanity becoming
increasingly connected, the ``annihilation of space and time,''  
in a phrase going back at least to the early 19th century.
The volume of messages addressed to an average individual 
has been increasing steadily, at times extremely rapidly.

This section surveys the long trend of increasing
communication.  The first part is devoted to
quantitative measures, the growth in spending
and in volume of transactions.  The second part considers
the qualitative
changes in how we approach communications.
The role and evolution of pricing 
are then the subject of the rest of the paper.

The communications technologies considered in
this paper are primarily point-to-point ones, and
generally exclude mass
media, such as newspapers, book publishing, radio, and TV.
One reason is to keep the size of this work manageable.
A related one is to avoid the complexities of trying
to measure the volume of information delivered by broadcast media.
Finally, as is shown in [Odlyzko5], connectivity (as in
point-to-point communication) is much more important than
content (which is what broadcast communication is about).



\begin{table}[htb]
\begin{center}
Table 2.1.  Growth of the U.S. Postal Service \\
~ \\
\begin{tabular}{lr@{}lr@{}lr@{}lr@{}l}
year & \multicolumn{2}{c}{expenditures} & \multicolumn{2}{c}{expenditures} & \multicolumn{2}{c}{pieces of mail} & \multicolumn{2}{c}{pieces of mail per} \\
& \multicolumn{2}{c}{(millions)} & \multicolumn{2}{c}{as percentage} & \multicolumn{2}{c}{(millions)} & \multicolumn{2}{c}{person per year}  \\
&&& \multicolumn{2}{c}{of GDP} \\
~ \\
1790 & \$0&.032 & ~~~~0&.02\% &  0&.8 & 0&.20 \\
1800 & 0&.214 & ~~~~0&.05 &  3&.9 & 0&.73 \\
1810 & 0&.496 & ~~~~0&.09 &  7&.7 & 1.&.07 \\
1820 & 1&.161 & ~~~~0&.18 &  14&.9 & 1&.55 \\
1830 & 1&.933 & ~~~~0&.21 &  29&.8 & 2&.32 \\
1840 & 4&.718 & ~~~~0&.28 &  79&.9 & 4&.68 \\ 
1850 & 5&.213 & ~~~~0&.20 & 155&.1 & 6&.66 \\
1860 & 14&.87 & ~~~~0&.39 \\
1870 & 24&.00 & ~~~~0&.33 \\
1880 & 36&.54 & ~~~~0&.35 \\
1890 & 66&.26 & ~~~~0&.51 & 4,005& & 63&.7 \\
1900 & 107&.7 & ~~~~0&.58 & 7,130& & 93&.8 \\
1910 & 230&.0 & ~~~~0&.65 & 14,850& & 161 \\
1920 & 454&.3 & ~~~~0&.50 & \\
1930 & 803&.7 & ~~~~0&.89 & 27,887& & 227 \\
1940 & 807&.6 & ~~~~0&.81 & 27,749& & 211 \\
1950 & 2,223& & ~~~~0&.78 & 45,064& & 299 \\
1960 & 3,874& & ~~~~0&.77 & 63,675& & 355 \\
1970 & 7,876& & ~~~~0&.81 & 84,882& & 418 \\
1980 & 19,412& & ~~~~0&.70 & 106,311& & 469 \\
1990 & 40,490& & ~~~~0&.70 & 166,301& & 669 \\
1998 & 57,778& & ~~~~0&.68 & 197,943& & 733 \\
\end{tabular}
\end{center}
\end{table}



The communications industry as a whole has been expanding
for centuries.  Not only that, but most of the prominent 
services
have continued growing.  The tables in this section
provide more eloquent testimony to this historical fact
than words can.  Even the venerable mail, often
derisively called ``snail mail,'' is still growing.
The remarkable story of this ancient yet still widely
used technology is summarized briefly in Table 2.1,
which shows key statistics
in the development of the U.S. Postal Service (USPS).  (For most
of its history it  
was known simply as the U.S. Post Office.)
Although there have been many predictions
that mail would decline as a result of competition from the
telegraph, the telephone, and more recently from email,
it has continued to expand.  It went from fewer than a million
pieces of mail in 1790 to almost 200 billion in 1998.  
Prices, discussed in Section 9, have decreased.  The decline
in prices was dramatic in the 19th century.  Even in recent
years prices have been decreasing, if we adjust them for
increases in earnings.

Postal system revenues 
are more than three times
larger as a fraction of GDP than they were 150 years.
In spite of this, mail is no longer the dominant
communication technology, as
it is dwarfed by the phone industry.  Comparison of tables
2.1 and 2.2 shows the telephone passed the mail in revenues
by 1920, and today is about four times as large.  
Adding the contributions of these two industries,
we find that their role in the economy, measured as
a fraction of GDP, has increased almost 20-fold
over the last 150 years, from 0.2\% to over 3.5\%. 
That is higher than current military spending!






\begin{table}[htb]
\begin{center}
Table 2.2.  Development of U.S. phone industry \\
~ \\
\begin{tabular}{lrlr@{}lr@{}lr@{}l}
year & \multicolumn{2}{c}{revenues} & \multicolumn{2}{c}{revenues} & \multicolumn{2}{c}{phone calls per day} & \multicolumn{2}{c}{phones calls}  \\
& \multicolumn{2}{c}{(millions)} & \multicolumn{2}{c}{as percentage} & \multicolumn{2}{c}{(millions)} &  \multicolumn{2}{c}{per person per day}  \\ 
&&& \multicolumn{2}{c}{of GDP} \\
~ \\

1890 &         \$16   &&           ~~~~0&.12\%  &     0&.0015  &    0&.00002   \\
1900 &         46     &&       ~~~~0&.26     &      7&.8  &  0&.1  \\
1910 &         164      &&     ~~~~0&.46    &    35&.6  &  0&.4  \\
1920 &         529       &&  ~~~~0&.58    &    51&.8   &   0&.5  \\
1930 &         1,186  &&        ~~~~1&.32   &   83&.5   &   0&.7  \\
1940 &         1,286  &&      ~~~~1&.29    &   98&.8    &   0&.7  \\
1950 &         3,611  &&       ~~~~1&.27   &    171&     &   1&.1  \\
1960 &   8,718        &&      ~~~~1&.73   &   288&      &   1&.6  \\
1970 &  19,445        &&      ~~~~1&.99   &   494&      &   2&.4  \\
1980 &  59,336        &&     ~~~~2&.13    &   853&      &   3&.8  \\
1990 &  133,837       &&    ~~~~2&.33    &    1,272&     &   5&.1  \\
1998 &   246,392      &&     ~~~~2&.88    &    \qquad 1,698&    &   \qquad \quad6&.3  \\
\end{tabular}
\end{center}
\end{table}




Telephone service initially was also
extremely expensive.  For example, a century ago,
unlimited local service in New York City cost \$20 per month.
That is comparable to \$2,000 per month currently, when one considers
prices in relation to average earnings.  
How many people would be willing to pay \$2,000 per month for
Internet connectivity today?  That such prices were paid testifies
to the value of communication services as perceived by
users.  The precise economic benefits of communication
are a complicated subject beyond the scope of this work.
However, they have consistently been high, often demonstrably so.
(At a high level, this claim is proved by the statistics in
the tables throughout this work.  Since nobody was overtly forced
to pay for any of these services, yet usage and spending went up,
customers must have felt they were getting their money's worth.)

The growth in volume of information has led to a change in
how we react to it.  
Over the
last two centuries we have moved from scarcity to surfeit.
People used to be information-deprived, and eager for any
scraps they could get.  The books [John, Kielbowicz] have 
many illustrative examples of the eagerness with which
mail was received in 19th century America.
Today, our task is to cope with a flood of information.

When communication opportunities were rare, and transmission
slow, it was natural that great care was taken with
correspondence.  
Those who lament the lack of style in current letters compared
to the often essay-quality compositions of the 17th or 18th
centuries need to realize the different environment we operate
in.  We do not have weeks to compose a letter,
and speed is of the essence.  This trend is exacerbated
with email.  Email messages are often sadly deficient
in style, spelling, punctuation, and grammar.  Instant messaging
is typically even worse.  However, when it
is necessary to deal with scores of email messages per day,
it is natural to treat them as informal conversations.
After all, are we expected to always speak in grammatically
correct sentences?  The same argument, though, argues
that we will not want to worry about pricing details.

For a communication service provider, the task is to make
life for the customer as painless as possible.
A seamless integration of the Internet into people's lives
should be the goal.  One of the most successful companies
in this area, at least so far, has been AOL.
An AOL press release, dated February 2, 2000 [AOL], claimed 21 million
members, as well as usage records, as follows:
\begin{quote}
Among the AOL service's other usage records,
underscoring that it is becoming more and more
essential to members' everyday lives, are:

$\ldots$

\begin{itemize}
\item[$\ast \ast$]
110 million e-mails sent daily (50 million a year ago);

\item[$\ast \ast$]
600 million instant messages sent per day (400 million a year ago);

\item[$\ast \ast$]
200 million stock quotes daily (113 million a year ago); and

\item[$\ast \ast$]
5.2 billion Web URLs served a day (2.1 billion a year ago).
\end{itemize}
\end{quote}
It is clear that AOL measures its success by how deeply it is
involved in its customers' lives.  As we move towards broadband
always-on access, it will be possible for carriers to provide
even greater services.  The question will be how to choose
the quality and price combinations to encourage greatest use.
Efficiency is likely to be of secondary value.







\section{The effectiveness and utility of pricing}
\hsp
For any service to be viable in the long run, it has to recover
its costs.  Even the supposedly ``free'' Internet is nothing
of the sort, as it is largely paid for through monthly fees by
individual users or their employers or universities.

How costs are recovered from users is a matter of pricing.
This section is a brief
overview of some purposes that pricing can serve, aside
from the fundamental one of cost recovery.  For example,
the choices that users make among different quality and
price combinations provide valuable information for the
service provider about what the customers wish and are willing
to pay for.  

There is a wide spectrum of options for pricing
communications services.  To illustrate, let us
consider the regular postal service.
At one extreme one could have a scheme in which the mail carrier
would collect letters, and for each one would bargain with
the sender, taking into account the destination, the length
of the letter, the likely interest the sender
has in getting the letter delivered, how heavy the carrier's
mailbag is, and so on.  Moving slightly away from this
extreme towards greater simplicity 
would be a fixed schedule of charges, covering each possible
source-destination pair of houses.  Such a schedule might
be based on some some allocation of postal costs, and 
would depend on how close to the nearest post offices the sender 
and receiver live, how much other traffic arrives at or leaves
their houses, and how much mail their neighbors originate.
A simpler scheme yet is one in which the charges depend
just on the distance between the origin and destination.
(Among such schemes, a more complicated version would 
depend on the distance along the
actual physical route taken by a letter, a simpler one would
depend on just the air distance.)
Simpler yet would be a scheme that has a fixed charge,
independent of distance.  Finally, the simplest system 
of all would have no charges at all, and would provide
a free service, paid for by general taxation.  

In addition to the range of options sketched above,
there are several others that can be added, almost
orthogonal to that one.  For example, one can have,
for most of the options listed above, time-of-day pricing,
or quality differentiation with respect to speed of delivery.

Most of the feasible price and quality combinations
have been tried in the past.  For example,
before postal systems became widespread, getting
a letter delivered required finding somebody traveling
in the right direction and negotiating for delivery.
On the other hand, at least for some time in the mid-1850s,
Iceland had mail delivery paid for out of general taxes [Miles].
Historically, from the early 18th century until today,
the postal system has moved from charges depending in
complicated ways on source, destination, and route,
to a uniform fee per piece, up to some weight or size
limit that few items are likely to reach.  There is service quality
differentiation, with several classes of mail, and even different
prices for first class mailings depending on the degree to which
they are pre-sorted, say.  However, most of these gradations in
price and quality are aimed at influencing large mailers.
Individuals are presented with very simple options.

On the Internet, many pricing proposals call
for complicated
schemes with charges varying from packet to packet.
Such schemes can be proved to have various optimality
properties, whether the basic philosophy is
to have charges closely related to costs, or to maximize
revenue.  (For one such proposal, employing a Vickrey auction, which has been
tremendously influential in stimulating thinking about
Internet pricing, see the paper of Jeff MacKie-Mason
and Hal Varian [MacKieMV].)
On the other hand, most charges today are through flat rates.
There is little advocacy for public funding of the
Internet, other than for research networks,
although a few calls are still heard occasionally
for public funding of peering points, to avoid the
sticky interconnection problems.  The general attitude
is that communications users should fund the services they
consume.  A competitive service environment certainly
requires that.  The question is, how closely should one
attempt to link the fee that a customer pays to
either the costs that customer's usage generates, or
to the value that customer derives from the service?

Historically, the relation between cost of providing
a communication service and the price charged for it
has been slight, as we will see repeatedly in later
sections.  Cross-subsidies and price discrimination
have been common.

In our society, the word discrimination has a strongly negative connotation.
However, price discrimination is a common business tactic that is growing in
importance, and serves a useful social purpose.  
For detailed discussion of the different types of
price discrimination, and crucial role that it plays
in making the economy more efficient, see [Varian1, Varian2].

In practice, any seller that wants to price discriminate 
has the difficult task of 
finding out the customers' willingness to pay and getting
them to accept the discrimination.
A common way to solve this problem is to impose 
artificial restrictions that will induce the customers
to sort themselves out.  
Such sorting out of users is the main purpose of the
advance purchase and Saturday night stayover restrictions
on inexpensive airline tickets.  The assumption that
carriers make is that business travelers will often
need to make last-minute changes in their schedules, and
also will be unwilling to extend their time away from
home over a weekend.  This does work much of the time.
It allows airlines to offer inexpensive fares to the
vacation travelers who can adjust their schedules to
fit the restrictions, and who might not travel at full
fares.  The result is that often there are two
passengers sitting next to each other on the same flight,
but one of them has paid more than five times as much as
the other one.
The system does serve to
produce high utilization, decreasing average fares, and also
availability of seats on most flights even at the
last minute (although at high prices).

The airline yield management system does work, but
it is generally disliked by the public.  People find
the bewildering array of constantly changing prices
and conditions unpleasant, exasperating, and unfair.
One way to make price discrimination more palatable
to the public is through quality differentiation.
The airlines practice that also by providing
several classes.  First and business classes get
comfortable
seats and good meals,
while coach passengers are squeezed into tiny spaces
and receive minimal meal service.  

So far we have discussed arguments for price discrimination.
On the other hand, there are many cases where the incentives
for such discrimination clearly exist, but it is not practiced.
For example,
voice services bring in huge revenues.  On the other hand, 
they require low bandwidth.  Hence on a broadband network,
if transmission of video is to be affordable, and charges
are to be based on bytes transmitted, voice should be
essentially free.  Yet voice services is still what provides
the overwhelming bulk of revenues to the communications
industry.  Hence the argument has often been made that
voice transmission should be charged at higher rates
than video.  
This type of price discrimination is appealing
on public policy grounds.  However, the same argument
would argue for high charges for email.  After all, email
is still the ``killer app'' of the Internet, even
more than the Web, and the bandwidth it requires is modest
compared to Web surfing.  Moreover, special email charges
would (as many people have suggested) help control spam.
Yet, historically, charges for email, which used to be
common in online services, have been phased out.  (Not only
that, but we have a multiplicity of services offering
free email accounts.)  And indeed,
with scores of email messages per day for most ``wired''
people, who would want to deal with the extra complexity
of having to decide for each one whether it is worth paying
for it?

The general trends in communications, as is documented
in later sections, has been towards decreasing price
discrimination, and towards simplicity.  On the other hand,
in the general economy,
there is also a perceptible tendency towards complicated pricing,
such as yield management strategies, auctions, and the like.
This is evidenced not only by the airlines, but also by
the initial successes of eBay and priceline.com.  My conclusion
is that the conventional economic arguments for quality
and price differentiation are all valid.  However, they
conflict with some basic human desires.  For
inexpensive and frequently used goods and services such
desires are strong enough to overcome the economic
push for optimization.

It is hard to make categorical statements about human
preferences, since people exhibit contradictory traits.
They often simultaneously increase and decrease their
risks, as when they buy both lottery tickets and insurance.
However, generally speaking, people are risk averse,
especially in the face of large potential losses.
That is why the insurance industry is vastly larger
than the gambling industry.
In general, people are also averse to varying prices,
and are more willing to accept variations in quality 
than in price, as is illustrated by many examples
in [Odlyzko2].  
That paper also discussed such economic puzzles
as the laws against scalping.  Such laws are a puzzle for two reasons.
One reason is that
according to standard economic doctrine, scalpers provide
a useful function, by moving desirable tickets into
the hands of those who value them most highly.
Thus their business should be encouraged, and not driven
underground.
Another reason such laws are a puzzle is that from the
conventional economic perspective it is hard to explain
why they should be necessary at all, no matter how one
views scalpers.  Why is there room in the economy for
scalpers?  Why don't the owners of sports arenas and
concert halls adjust prices to clear the market in the first place?
The most satisfactory explanation seems to be that both
sports arena operators and lawmakers are reacting to
human preferences for simple, predictable, and fair
pricing.  Other examples of similar seemingly irrational
behavior are cited in [Odlyzko2].  In most cases, though,
such examples serve as illustrations only, and do not
provide hard estimates.
In general, it appears likely that appearing to follow
general notions of fairness will be
increasingly important in ecommerce ([Odlyzko1, Zajac]),
at least for small value transactions.



% matter of either public policy or ordinary business judgement
% (reacting to the public preferences and sense of fairness to
% be discussed later) end up with equal rates



\section{The role of distance dependence in pricing}
\hsp
The most frequently used communication service, and the
one that attracts the most spending, is the phone.  Charges
for phone use have traditionally depended on the distance
of the connection.  Local calls were usually the least
expensive, and prices of long distance calls rose steeply
with distance.  The one common communication service whose
tariffs did not vary with the distance was the mail.  (Even
there, foreign letters invariably carried higher fees
than domestic ones.)  When charges were distance-independent, 
this was often a cause for comment, and was often referred
to as a case of ``postalized rates.''  In particular, 
the Internet has often been pointed out as unusual in
ignoring distance.  Occasionally worries have been
expressed about the harmful effects of this policy, which
ignores the costs of long distance transport. 
Of special concern have been the expensive trans-oceanic links.
In some cases (such as that of the British academic JANET
network),
charges have been imposed on member institutions for traffic coming 
from the U.S., but not from Europe.

While costs of long distance transport are a concern to
many Internet experts, the historical trend in other communication
services has been to increasingly ignore them. 
For example, in long distance telephony in the U.S., rates
became distance insensitive in the mid-1990s.
A key role in this development has been played
by technology, which has lowered transport costs.  However,
this paper avoids detailed consideration of internal
costs of service providers, and considers primarily the prices
consumers have been faced with.  Originally, even postal fees 
were not ``postalized.''  They
became distance-independent only in the 19th century, starting 
with the famous British postal reform of 1840.
Since that time, many communication services have traveled
either partially or
all the way towards abandoning distance sensitivity.
This trend 
in prices is illustrated in tables 9.2, 10.1, and 10.2.

A simple argument says that if prices are
distance-insensitive, then the basic network costs 
(of switching and transmission)
must be a small part of the price that is charged.
But if those costs are low,
then the costs of tolerating various inefficiencies
(such as carrying low-value communications) are also likely to
be low.  That argues for a single grade of uniformly
high quality service, and simple pricing.

An even more convincing case for simple pricing and
simple service offerings can be developed based on 
a detailed historical study of 
the distance sensitivity of rates.
Frequently such distance sensitivity was far greater than
was justified by cost differences.
It was a form of price discrimination.  
This practice
reached an extreme form in the U.S. phone industry in the
1970s and 1980s, when long distance
revenues were used to subsidize local service.
The postal rates in Britain before 1840 (as well as
those in most countries in the early 19th century)
were also examples of price discrimination, charging
far more for long distance communication than was
justified by costs.

Why would carriers impose charges that increased more
steeply with distance than costs?  The basic reason is
the perception that long distance transmission is more
valuable.  In U.S. voice telephony, regulators argued
that expensive long distance calls were a luxury for
the rich, and so could in effect be taxed to provide
basic service for the general population.  More generally,
such practices are a form of value-based pricing.
This role has been recognized for a long time.
For example, in the discussions preceding the British
postal reform of 1840, which did introduce distance-insensitive
prices, we find the following claim:
\begin{quote}
Distance is the chief ingredient--indeed, we might say, the very
{\em sine qua non} and essence--of any and every system of post-office
charge...  If it were not for distance, there would be no post
offices at all.  The intrinsic value of the conveyance of a letter...
is exactly equal to the time, trouble and expense which is saved to 
the correspondence--of which the best, if not the only measure is
distance; and as the difficulty of private conveyance increases,
so much increase, in graduations proportional to the distances,
the value of the conveyance.  The gods must annihilate both time
and space before a uniform rate of postage can be reasonable or just.

\hspace*{+3in}J. W. Crocker, {\em Quarterly Review}, 1839 \\
\hspace*{+3in}(as quoted in [Gregory])
\end{quote}
Well, gods did annihilate both time and space.  The uniform
Penny Post was introduced in 1840, and has historically been
regarded as a great success.  

The wide variation in costs of transmitting messages can be
used to justify non-uniform prices.  However, it is
interesting to observe that many of the price schedules
that were not uniform depended on a simple formula
that took only distance into consideration.
(See tables 9.1 and 9.2, for example.)  Yet if
a carrier were to do what is theoretically socially
optimal, namely have prices close to marginal costs
or to willingness to pay, it would have much more complicated
price schedules.  Costs are only weakly related to
the distance a message travels.  
The main determinants of costs tend to be
factors such as particular layout of a network,
and the traffic on individual links.  This
appears to have been pointed out
in a public forum for the first time by Rowland
Hill in 1837, in discussions of pricing in the
British postal system.
A value-based pricing
plan would also surely not depend in a simple way
just on distance.  And indeed, when we examine
the competitive spot markets for long distance bandwidth
that are emerging,
we find that the old tariffs based on distance
are disappearing, and prices vary from place to place
and from day to day.  
However, this is for links
that cost tens of thousands of dollars per month.
In the early days of many mass
communication services, such as the telegraph or
the telephone, when costs and prices were high, we also find
prices varying, depending on particular circumstances.
Later, decreasing prices
were associated first with a move to simple pricing
based just on distance.  
Such rates thus already represent a considerable concession to the desire
for simplicity!
As a technology evolves, costs drop, and usage increases, simple
distance-only rates tended to get replaced by even simpler
distance-insensitive prices.  This was true for both
government monopolies, private monopolies, as well as
competitive carriers.




\section{The conventional economic argument for flat rate pricing}
\hsp
There are strong incentives for service providers to engage
in price discrimination, and increasing opportunities to do so.
However, there are also arguments for flat rate pricing.
A frequently cited one is that of reduced costs for service providers.  
A more substantial reason for preferring flat rates is
that they reduce transaction costs of the users.  
The predictability of money flows of flat rates is attractive
for both sides.

A major advantage of flat rates for service providers, much
more important than the ones mentioned above, is that such
rates represent a form of bundling.
Bundling is the strategy of offering several products or
services for a single price, and is common.
A frequently cited argument for bundling
is that it simplifies life for consumers by providing
a single bill and a single point of contact.  
Such convenience is desirable.  If that were the complete
explanation, though, bundling might justify
extra charges for the added convenience.  In practice, though, bundles are 
almost always priced lower than the sum of prices of their components.
For example, the Microsoft Office bundle typically costs
about half of what purchasing Word, Excel, Powerpoint, and the other
pieces separately would cost.  Thus the main justification
of bundling has to be something other
than convenience.  

The main incentive for
service providers to bundle is that it allows them
to obtain higher revenues.  They do this by taking advantage of
uneven preferences among consumers for various
components of the bundle, and thereby reduce consumer surplus.  

Bundling (which has been studied extensively in economics)
is not always more profitable than selling 
a-la-carte.  However, for most reasonable distributions
of demands, bundling is better for the service or good provider.
(However, mixed bundling, in which the various items are
offered for sale separately as well is always better.)
In general, the more items there are in the bundle,
the greater the gain in bundling (at least for zero
marginal costs).  

Flat rate pricing plans are a form of bundling.  
Consider a simple example.  Suppose that 
among the hundreds of millions of Web sites,
Alice is interested in just 5, and would like
to download 2 MB per month from each.  However,
she is willing to pay \$1.00 per month for the material from
site 1, \$2.00 for that from site 2, and so on up to
\$5.00 per month for access to site 5.
Thus she should in principle be willing to pay a flat rate
of \$15.00 per month for access to all the sites.
However, on a per-byte basis she is only willing to
pay \$0.50 per MB for material from site 1, \$1.00
for material from site 2, and so on up to \$2.50 per MB for
material from site 5.  Now suppose that Alice's ISP
charges strictly per byte volume.  If the price is set
at \$1.50 per MB, Alice will pay only for access to
sites 3 through 5, and will download 6 MB per month
for total revenues to the ISP of \$9.00.  
Any other price will result in even lower
revenues for the ISP.  Thus in this example, flat rate
pricing produces revenues that are 67\% higher than 
with volume charging.  

The example above does not produce conclusive proof
that flat rate is better for the ISP than volume
charging.  The gain of 67\% shown there holds only
if the cost of carrying the additional traffic in
the flat rate scenario is negligible, and if the ISP
can guess that \$15.00 is Alice's maximal willingness
to pay.  If the ISP prices the flat rate service
at \$20.00 per month, Alice will not sign up, and
revenue will be zero.

Suppose that providing the additional service that flat rate stimulates
carries negligible marginal cost.  (This is not true for residential
modem access to the Internet, since modem maintenance is the
most expensive part of running such a business.  However, for
cable modem or ADSL services that are always on, this can be
almost true.)
Let us further assume that, as above, users know what utility
they derive from each possible bit they might receive or send.
Under those conditions, whether a service provider obtains
more revenue from a flat rate or a usage-based tariff depends
on the distributions of demands among potential customers.
This problem is considered in [FishburnOS], where it is
shown that for a majority of what seemed to be a large
class of realistic demand distributions,
flat rate produces higher revenue for the service provider.

The point of the discussion above is that even in the conventional
model with simple consumer utilities, it is often more
profitable for the service providers to offer flat rate
service.  As it turns out, there are other factors that
make flat rate pricing even more compelling.




\section{The strong public preference for flat rate pricing}
\hsp
The frequent willingness to pay extra in order to avoid metered
services was noted in the Introduction, in the discussion of
how AOL was forced to move to flat rates.  This is a general
phenomenon.
Perhaps the
first well documented large scale experiments in this area
were those carried out by the Bell System in the 1970s.
By that time the Unites States had had unlimited residential local
phone calling for a flat monthly rate 
for over half a century.  (There were
exceptions to this rule, for example New York City and Chicago, but
most of the country was on flat rate plans.)
In the Bell System experiments of the 1970s, customers were usually
offered a choice of three plans.  The least expensive (in terms
of the basic monthly rate)
allowed for only a few local calls without additional charges,
and then had high fees for additional calls.  The most expensive
plan
provided unlimited local calling.  It was a great surprise
when most of the people decided to stay with flat rate plans.
This even included the majority (typically over 60\%) of the people
who were making practically no phone calls, and would have benefited
the most from the usage sensitive tariffs.  The results
of these experiments are described in the references to [FishburnOS].

The Bell System studies identified several reasons for the
flat rate preference, such as risk avoidance and overestimate of
usage.  Some of these reasons are part of what Nick Szabo has called
``mental transaction costs'' [Szabo].  Computer processing
power and bandwidth are growing and getting less expensive.
However, our personal processing power is not increasing.
Human attention is an ultimate scarce resource.

Since the 1970s, much additional evidence has accumulated
of the strong preference for flat rate plans.  
Recently, further detailed evidence of the attractions of flat rate
plans has been obtained in the carefully controlled INDEX experiment.
This experiment, described in [AltmannRV, EdellV], tested users' willingness
to pay for various Internet access options.  Most of the
INDEX investigators appear to conclude from the experimental data
that differentiated services and usage-sensitive pricing would
be better for both ISPs and users (cf. [EdellV]).  However,
one can also interpret the data as supporting flat rates.
One argument in this direction is based on the dramatic effect that
metered billing has in decreasing usage, and is presented in
the next section.  Right now we mention another argument.
In some phases of the experiment, 
participants were offered a choice of paying a flat fee to
free themselves from the constraints of metered billing.
It was discovered that on average, these participants were willing
to pay considerably more in flat fees than through metered
billing [Chu].
Their willingness to do so
in a commercial setting would probably be much greater
than it was in the INDEX experiment.  In INDEX,
they had excellent and immediate feedback on their usage (and
thus on their real or potential bill),
easy control over their options and could change their
pricing plan each week.
In a commercial setting, where
they might not see their charges until their credit card
bill arrived six weeks later, they would likely be willing
to pay considerably more to avoid unpleasant surprises.

 



\section{The dramatic effect of usage sensitive prices}
\hsp
Fig. 1.1 shows how a switch from metered to flat rates
increases usage.  It is also known that imposition of
metered rates decreases usage.  Although there have
been few careful studies of this, it was widely known
that when various phone systems around the world switched
from flat to metered rates for local calls, usage dropped.
(See [Kraepelien]
for the best listing of data on this subject
that I have been able to find.)





\begin{figure}[htb]
\centerline{\psfig{file=Pindex.ps,height=3in,width=4in}}
\begin{center}
Figure 7.1.~~Data received by participants in the per-byte charging
part of the INDEX experiment as
a function of price.
\end{center}
\end{figure}



The decreases in usage that are caused
by metered rates can in principle be explained 
in standard economic terms.  All that happens is
that the transactions with low value to the user are
not carried out, which increases aggregate welfare if that value
is less than the cost to the network.
The problem with this conventional explanation is that 
many of the observed decreases are considerably larger than
one would normally expect.  That this is indeed
a problem, and that a psychological explanation is more
appropriate, can be seen in the data from the INDEX experiment,
mentioned in the previous section, and described in more
detail in [AltmannRV, Chu, EdellV].
During one phase of that experiment, participants
were subject to straight per-byte charges.  In the
initial week, all 56 participants in that phase had free service,
and downloaded an average of 193 MB each.
During each of the following six weeks, they had to pay
for all traffic to their homes, with prices chosen
according to the principles of statistical experiment design,
and taken from the range of \$0.001 to \$0.20 per MB.
(It is worth noting that residential modem customers
typically download about 60 MB per month.  Thus, if they
are charged \$20 by their ISP for unlimited service,
they are effectively paying about \$0.33 per MB.
Cable modem or DSL customers typically download 5 to
10 times as much, but usually pay between \$40 and \$60
per month, for an effective price of between \$0.07 and
\$0.20 per MB.  Thus the prices in the INDEX
experiment were not very high.)  As is shown in
Fig. 7 in [EdellV], even low prices led to a big drop in
usage compared to the week with no charges.  
However, that bar chart aggregates data to such an 
extent that it is hard to tell what the effect of very small
charges is.  
The INDEX experimenters have kindly supplied me with
the raw data for that chart, and I have processed it
to produce Fig. 7.1.  (The interpretation and presentation
of the data are strictly mine.)  The entry for the
price of 0.5 cents per MB is the average of the subject-weeks
where the subject faced a price of between 0.1 and 1 cents
per MB, the one for a price of 1.5 cents per MB is the average
for prices between 1.1 and 2 cents per MB, and so on.
Each data point corresponds to an average of 14 subject-weeks,
so that experimental error was substantial, and accounts for
the jagged line.  (There was clearly nothing special about
prices between 14 and 15 cents per MB to induce a large jump
in usage!)  The main point is that even prices below 1 cent 
per MB led to a giant drop in usage (to an average of 143 MB
per week
from the 193 MB during the week of free service).
Prices between 1 and 2 cents led to a further
drop to an average of 64 MB per week.  Further increases
had a much smaller effect on usage.  Yet even at 2 cents
per MB, the usage of 200 MB/week that was observed during
the free week would have cost just \$4 per week.  
It seems
more reasonable to attribute this behavior to a psychological
aversion to metered rates than to a utility function that
has an unusual shape.





\section{Dynamic effects of flat rates}
\hsp
Whether to offer flat or metered rates in a competitive
environment is a business decision.  One way to select the
preferred course 
is through a traditional accounting analysis.  Find out how much
potential customers are willing to pay extra for the flat rates.
(Either run an experiment like INDEX, or do market trials,
focus groups, and other standard methods of marketing.)
If this amount is large enough to compensate for the
inefficiencies introduced by a move away from metered
pricing, give the customers what they like, namely
flat rates.  If the willingness
to pay for flat rates is too low, offer only measured rates.
While such an analysis seems appealingly rational, it
is likely to be seriously misleading in an environment
such as that of the Internet, where rapid growth is
the rule.  
The problem is that this analysis is static, and ignores
both network effects and temporal evolution.
To properly evaluate the choice between flat and measured
rates, one
has to take into account the indirect effects of those rates on other users,
as well as on future usage of a particular customer.

The value of a network is based not just on the
number of users in it, but, even more, on the intensity
with which it is used.  If you are connected to a network such
as the Internet, you can be reached by others, and you may
contribute content to the network.  You are also more likely to
try new services and products if you are online often.  Thus your
presence makes the network more valuable to others.
Hence some of the costs of your usage can justifiably be
spread over other participants.  Thus the loss in
efficiency that flat rates cause is smaller than it
might seem at first, and the benefits from increased usage
that flat rates stimulate are greater.

A related reason that the static analysis of willingness
to pay for flat rates is likely to be misleading is that
it neglects the dynamic aspects of the Internet connectivity
market.  Network service providers have every incentive
to persuade customers to move up to higher quality connections.
The first step is to move them from dial modems to 
cable modems and ADSL links.  The next step will be to 
persuade them to pay for fiber connections, on which
bandwidth can be increased step by step.
Given the progress in technology,
providers are forced to plan on persuading their customers
to trade up.  A fixed link is too likely to be commoditized,
and unable to offer the services that people come to expect.
Who is most likely to want to move to a higher
bandwidth connection?  Is it an American modem customer
who pays flat rates for local connectivity and Internet
access and is online about an hour per day (Fig. 1.1)?  Or is
it a French modem customer who pays by the minute, and
is online for 17 minutes per day?  Or is it
a French Minitel customer of a few years ago, who paid by the minute and
was online for under 3 minutes per day?

The above two effects cannot be quantified yet, with our
current state of knowledge, but they appear substantial.
They certainly did play a role in the evolution of pricing
of various communication services, as we will see later,
and they argue strongly in favor of flat rates.







\section{Mail}
\hsp
Postal systems are ancient, and there
is a voluminous literature on
their history, technology, politics, and economics.
This literature all by itself
illustrates the conflicting drives for
price discrimination, efficiency, and simplicity.
that have shaped the evolution of communications.
Here I present just a few highlights from this
literature.  For a fuller treatment, see [Odlyzko5].

The earliest postal systems were primarily or even
exclusively for government use.
With the growth of commerce,
and the need for economy in operation, these systems were soon
extended to carry private letters.  
The mail business was often extremely profitable, and
was often used as a form of taxation.

The extraction of profits from postal services may well have
reached its highest recorded level in Britain in the early 19th
century.  That country was desperately searching for money to 
pay for the Napoleonic and earlier wars and the debts
from those wars.  The mail turned out to be a bountiful source
of funds.  
In 1839, total revenues of the monopoly government postal service
were \$11.95 million.  The costs
of providing the service were \$3.78 million, for an enviable profit
margin of 68\%.  

The high profit margins of the British postal service were
accompanied by a complicated pricing structure illustrated
in Table 9.1.  This structure did not correspond to the
cost structure of providing the service.  Interestingly
enough, the steepness of the distance dependence of British
postal rates increased rather steadily throughout the 18th
century, as prices were raised to increase profits.  The
``single letter'' of Table 9.1 (as well as of Table 9.2,
which shows a few snapshots in the evolution of pricing
of U. S. postal services) refers to a single sheet of paper,
the standard unit for pricing mail services then.


\begin{table}[htb]
\begin{center}
Table 9.1.  British Post Office rates for domestic ``single letter'' in 1837 \\
~ \\
\begin{tabular}{ccr@{}l}
distance && \multicolumn{2}{c}{price} \\
~ \\
up to 15 miles && \$0&.083 \\
16-20 miles && 0&.104 \\
21-30 miles && 0&.125 \\
31-50 miles && 0&.146 \\
51-80 miles && 0&.167 \\
81-120 miles && 0&.188 \\
121-170 miles && 0&.208 \\
171-230 miles && 0&.229 \\
231-300 miles && 0&.250 \\
301-400 miles && 0&.271 \\
401-500 miles && 0&.292 \\
\end{tabular}
\end{center}
\end{table}



The complicated rates of Table 9.1 were replaced in 1840 with
the uniform price of a (British) penny, approximately \$0.02,
for any letter up to half an ounce anywhere in the country.
This reform, justly credited to Rowland Hill, is often
misrepresented.  It is frequently claimed that it was
a triumph of common sense.  It is said that once Hill
pointed out the high costs of computing charges based on
distance, charges supposedly much higher than those of
transport, the system was changed with a universal gain
for everybody.  The truth is considerably more complicated,
and in fact there are serious debates going on about the
effects of Hill's reform.  A summary with pointers to the
literature is presented in [Odlyzko5].  At this point
I will only say that the two points on which there is
universal agreement is that the 1840 reform was extremely
popular with the public, and that it did lead to substantial
growth in mail usage in Britain.  Hill's reform was
also extremely influential in reforms of other countries'
postal systems (including that of the U.S.), leading to 
almost universal dominance
of distance-insensitive rates.

The postal service of the United States was not (except for
a brief period during the War of 1812) operated to make a
profit.  It was a key instrument in the efforts by the
federal government to knit the country together.  Still,
the pricing structure in the first half of the 19th century
was complicated, as is shown in Table 9.2.  This (as is
explained in more detail in [Odlyzko5]) was again not because
of costs depending on distance, but rather because
of attempts to maximize revenue from letters, so as to
be able to subsidize newspaper delivery more effectively.
Under intense pressure from the public, rates were
lowered and simplified in the middle of the 19th century,
becoming independent of distance.  



\begin{table}[htb]
\begin{center}
Table 9.2.  U. S. Postal Service rates for first class mail \\
~ \\
\begin{tabular}{lll@{}lr@{}l}
year &  & \multicolumn{2}{c}{price} & \multicolumn{2}{c}{hours of work} \\
~ \\
1799: & single letters &  &  \\
& no more than 40 miles & \$&0.08 & ~~~~~0&.8 \\
& 41-90 miles && 0.10 & ~~~~~1&.0 \\
& 91-150 miles && 0.125 & ~~~~~1&.25 \\
& 151-300 miles && 0.17 & ~~~~~1&.7 \\
& 301-500 miles && 0.20 & ~~~~~2&.0 \\
& over 500 miles && 0.25 & ~~~~~2&.5 \\
~ \\
1845:& single letters \\
& no more than 300 miles && 0.05 & ~~~~~0&.3 \\
& over 300 miles && 0.10 & ~~~~~0&.6 \\
~ \\
1863: & first half-ounce && 0.03 & ~~~~~0&.2  \\
~ \\
1885: & first ounce && 0.02 & ~~~~~0&.1 \\
~ \\
1999: & first ounce && 0.33 & ~~~~~0&.02
\end{tabular}
\end{center}
\end{table}






\section{Telegraph}
\hsp
The electric telegraph is a fascinating subject to study,
not least because its influence was so similar to that
of the Internet.  It is unusual among communications services
in that it did eventually vanish.  

A key point in considering 
the history of the telegraph industry
is that it was never large.  The high cost and
inconvenience kept the telegraph from ever rivaling
the mail, for example.  However, the trend towards
simplicity in pricing is evident here as well.



\begin{table}[htb]
\begin{center}
Table 10.1.  International telegraph rates from New York City (per word) \\
~ \\
\begin{tabular}{crr}
year & \multicolumn{1}{c}{~London} & \multicolumn{1}{c}{~~Tokyo} \\
~ \\
1866 & \$10.00 & \multicolumn{1}{c}{-} \\
1868 & 1.58 & \multicolumn{1}{c}{-} \\
1880 & 0.50 & \$7.50 \\
1890 & 0.25 & 1.82 \\
1901 & 0.25 & 1.00 \\
1924 & 0.20 & 0.50 \\
1950 & 0.19 & 0.27 \\
1970 & 0.23 & 0.31 \\
\end{tabular}
\end{center}
\end{table}




\begin{table}[htb]
\begin{center}
Table 10.2.  Telegraph rates (for up to 10 text words) from New York City \\
~ \\
\begin{tabular}{crrr}
year & \multicolumn{1}{c}{Philadelphia} & \multicolumn{1}{c}{Chicago} & \multicolumn{1}{c}{San Francisco} \\
~ \\
1850 & \$0.25~~~~~ & \$1.55~~~ & \multicolumn{1}{c}{-} \\
1866 & 0.25~~~~~ & 1.85~~~ & \$7.45~~~~~~ \\
1870 & 0.25~~~~~ & 1.00~~~ & 5.00~~~~~~ \\
1883 & 0.15~~~~~ & 0.50~~~ & 1.50~~~~~~ \\
1908 & 0.25~~~~~ & 0.50~~~ & 1.00~~~~~~ \\
1919 & 0.30~~~~~ & 0.60~~~ & 1.20~~~~~~ \\
1951 & 0.60~~~~~ & 1.00~~~ & 1.60~~~~~~ \\
1960 & 1.10~~~~~ & 1.45~~~ & 1.90~~~~~~ \\
1970 & 2.25~~~~~ & 2.25~~~ & 2.25~~~~~~ \\
\end{tabular}
\end{center}
\end{table}



Tables 10.1 and 10.2 show the evolution of pricing of telegraph
services.  The 19th century and early years of the 20th
century show a rapid decrease in prices.  However, later
years show an increase.  This is one way that
the telegraph deviated from the pattern of other communication
services.  There was an even more basic differenc.
The telegraph is the only major communication technology
to fade away.  The price increases in its last stages
were part of a vicious spiral.  Increasing prices led to decreased
demand, which led to more price increases, and so on.  Businesses
whose costs are largely fixed benefit tremendously from increases
in scale, but have have difficulty coping with declines in
volume of operations.
Still, prices did tend to become simpler with time,
with distance dependence of tariffs diminishing or
disappearing entirely.






\section{Wired voice phone}
\hsp
The telephone attained its present preeminent position among
communication services relatively slowly.  For example, even
in the United States, it was not until the 1910s that the
revenues of the phone industry exceeded those of the postal
system.  
In most countries
it took much longer to reach that stage.
The main reason was that the phone had to build its
own infrastructure.  It also had to compete with the telegraph,
which was almost ubiquitous.  





\begin{table}[htb]
\begin{center}
Table 11.1.  International telephone prices.  Standard rate for a 3-minute call from New York City to London \\
~ \\
~ \\
\begin{tabular}{cr@{}lr@{}l}
year & \multicolumn{2}{l}{current dollars} & \multicolumn{2}{c}{hours of work} \\
~ \\
1927 & ~~~~~\$75&.00 & \quad200& \\
1928 & ~~~~~45&.00 & 120& \\
1930 & ~~~~~30&.00 & 80& \\
1936 & ~~~~~21&.00 & 56& \\
1944 & ~~~~~21&.00 & 40& \\
1945 & ~~~~~12&.00 & 20& \\
1969 & ~~~~~12&.00 & 6& \\
1970 & ~~~~~9&.60 & 5&\\
1974 & ~~~~~5&.40 & 1&.6 \\
1980 & ~~~~~4&.80 & 0&.9 \\
1986 & ~~~~~4&.83 & 0&.7 \\
1991 & ~~~~~3&.32 & 0&.3 \\
1995 & ~~~~~2&.40 & 0&.2 \\
1999 & ~~~~~0&.30 & 0&.02 \\
\end{tabular}
\end{center}
\end{table}





Perhaps the greatest early limitation of the telephone
was its cost.  It was an extremely expensive technology.
Phone service was primarily for businesses and the rich.
However, with time technology improved, and economies of
scale started working towards lower costs.  Table 11.1 is
a dramatic illustration of the decreases in telephone prices.

Long distance phone service in the U.S. shows an
interesting pattern.  Initially it was
priced uniformly for everyone.  The prices were
high, and
traffic was light.  For example, in 1930,
the Bell System carried around 160,000 toll calls
per business day, compared to about 300 million 
carried just by AT\&T alone these days (and more than twice
as much by the entire U.S. long distance phone industry).  
The high early prices did depend heavily on distance,
but were the same around the clock.  The first 
time of day pricing was introduced in 1919, with
three rates, the highest from 4:30 am to 8:30 pm,
a lower rate from 8:30 pm to midnight, and the
lowest from midnight to 4:30 am.  
The time bands argue
strongly that the main motivation was not to shift
demand and thus lower peak period traffic, but
price discrimination, to allow private calls late
at night at lower rates. 

As prices continued to fall, distance dependence
decreased, but time of day discounts remained in
place.  Some forms of discrimination increased
markedly, though; the subsidization of local
service by long distance fees grew explosively
in the 1950s, 1960s, and especially 1970s,
as is shown in [Mueller].  

The breakup of the Bell System led to substantial
changes.  The cross-subsidy
of local service by long distance revenues 
started declining. Together
with dramatic improvements in technology and
competition, this led to further declines
in prices.  In the new competitive environment
it also led to simplification of pricing.  
Distance dependence was eliminated completely,
and time of day variation was reduced to typically
at most two tiers.  Some of the most popular plans
have uniform rates around the clock.

So far I have discussed the evolution of the phone
system in the U.S. alone.  In most countries,
phone service started out as a government monopoly, and
it is only recently that privatizations have begun to
change that situation.  According to [Mitchell],
pricing of basic service has tended to be uniform,
with business customers paying the same rates
as residential ones.  (Thus it is ironic
that the competitive and unregulated capitalist marketplace
in the U.S. around 1900 would lead in discriminating against
business users!)  There has been differentiation
in pricing based on distance, but that has tended to
decrease with time.  Time of day variation in pricing
(which is one way of discriminating in favor of
residential users) came to Europe considerably
later than to the U.S..  




\section{Cell phones}
\hsp
The prominence of the Internet has
tended to overshadow the rise of another great high-tech success,
namely that of the wireless industry.  
There are more users of cell phones in the world than there
are Internet users.  They also produce much higher revenues
than Internet users.  
Even in the U.S., with its high Internet penetration,
cellular industry revenues are much higher than those from
the Internet.

Cell phones are a nice counterexample to the claim that
is sometimes heard
that metered services cannot grow fast.  Wireless services have
been growing rapidly, but have
been metered from the beginning, and rates remain high.  The U.S.
cell phone industry collects on average about \$0.25 per minute of wireless
calls, as compared to \$0.10 per minute for the wired
long distance phone service (and nothing for a large fraction of local
calls).  

Although some time-of-day pricing plans have been
introduced in cellular telephony, the general trend
has been towards simple plans.  Pre-paid plans,
which limit users' liability, are wildly popular,
especially in Europe, where they account for most of
the new subscribers.
In the U.S., the most important innovation
in pricing in recent years was the introduction of
the AT\&T Digital One-Rate\tm plan in 1998.  
It was a form of block pricing, with initial rates
of \$90 for 600 minutes per month, \$120 for 1,000 minutes, and
\$150 for 1,400 minutes.  One of its most distinguishing
and most attractive features is that this price is
all-inclusive, covering the long distance part of the call,
as well as any roaming fees.  
The marginal per-minute revenue
might appear to be only 7.5 cents per minute (as one moves
from one block option to another), and roaming fees are
often far higher than that.  Thus this plan will definitely
lose money for the carrier on some customers during some
periods.  However, it all averages out, since roaming 
is a fraction of total usage, and many customers use
only a fraction of the full allotment of time they pay for.  Thus
the carrier is playing the role of an insurance company,
absorbing some losses but gaining from customers' willingness
to pay for the protection of not having to worry about
an accumulation of many small charges.

The Digital One-Rate\tm plan has been widely imitated,
at least in the U.S.  Carriers
are competing to offer plans that allow
various family or employee groups to call each other
at no charge, and so on.  This has had the effect of increasing
average usage in the U.S. above the level seen in other countries
that are usually regarded as being far more advanced in
wireless communication.  
According to a press release from the U.S. cell industry
association [CTIA], between the last quarter of 1998 and
the last quarter of 1999, subscribers have increased
their local calling from an average of 130 minutes per month
in the last quarter of 1998 to 180 minutes per month
in the last quarter of 1999.  By contrast, in most of
the rest of the world, average usage per subscriber is
dropping, since pre-paid plans are spreading, and they
have the effect of repressing usage.  For example, 
in the U.K., average usage of a cell phone dropped
from 4.8 minutes per subscriber per day in
the second quarter of 1999 to 4.2 minutes a year later [Oftel].
(To be more precise, the drop was from 3.5 minutes of
outgoing calls and 1.3 minutes of incoming calls to
3.2 and 1.0 minutes, respectively.)  At the same time,
the average usage of a wired phone in the U.K. increased
from 15.7 minutes of outgoing calls per day in 1999 to
17.3 minutes a year later.  Although up to a third of the
wired minutes are for Internet access, this does show
that wired phone usage is far higher than that of cell
phones.  Coupled with the effect of block pricing plans
in the U.S., this strongly suggests that there is much
more that can be done to stimulate voice usage, and
that simple pricing plans are the best way to do it.
In particular, this suggests that the main application
of the increased bandwidth of 3rd generation wireless
systems will be not for Internet access, but for
more voice calls.

The Japanese i-mode system is frequently cited as 
proving that wireless Internet access can be a lucrative
service.  It has several interesting aspects.  One is
that apparently the spending on data by i-mode users
is about equal to those users' increased spending on voice.
Another is that most of the i-mode Internet services, such as downloading
jingles, are paid for through flat monthly fees.



 


\section{Residential access to the Internet}
\hsp
For the mass public, the Internet became visible and accessible
only in the mid-1990s.  
Even before then, though, there was a
growing industry in online services, with CompuServe,
Prodigy, and AOL the most prominent companies in it.  
Growth was rapid, but not at the rate we have witnessed
on the Internet in the last half a dozen years.
Each network had its proprietary user interface, and a limited
selection of content providers.
Communication among users was not emphasized.
As recently as 1996, pricing was based on
a fixed monthly rate that covered a small number of hours of
connect time, and fees for each additional hour.  In many cases,
some areas (for example of Prodigy) were designated as ``premium''
and charged at higher rates, and many of the databases on
CompuServe had fees for items retrieved.  In the early days,
there were also charges for all email messages.
(For the CompuServe price schedule of early 1996 with all its complexity,
see p. 60 of [OECD].)  All these fees
were heartily disliked by the users.  Email charges were dropped
first.  Then the industry converted to flat rate billing
as a result of intense customer pressure (exemplified
by the quote from [Swisher] in Section 8) and competition from
new ISPs.  (AT\&T WorldNet was the first major ISP to offer flat
rate pricing.)
The dominant pricing model today in the
U.S. is the flat rate, unlimited access plan for anywhere between
\$14.95 and \$21.95 per month.  Since most people have their local
calls covered by a fixed monthly rate, their entire Internet
access cost is flat rate.  There are even some ``free''
access plans, supported by advertising.

Residential broadand access to the Internet in the U.S., through
cable modems and DSL links, is universally priced on a flat
rate basis.  There is quality and price differentiation
(as in limits on bandwidth of ADSL links, or between the
\@Home and \@Work offerings that represent a primitive
form of the Paris Metro Pricing of [Odlyzko2]), but 
those play a role only in the rare cases where
customers select a service.  



\section{Non-Internet data networks}
\hsp
Most of the corporate spending for data transmission is for
private lines, in which a dedicated connection of a fixed
bandwidth is provided by telecommunications carriers between
two points.  (See [CoffmanO1] for estimates of the size of private line
and public data networks.)
Increasingly such links carry IP traffic, and are thus
part of the Internet.  Still, they are not visible to
general users, since they are hidden behind firewalls.
The price of such a link depends on the bandwidth, distance,
and various regulatory and political constraints (especially for international
lines), but not on the traffic carried.  
Most of the ISPs that do not
own fiber networks carry their traffic over private lines leased
from larger carriers.
In general,
as is shown in [CoffmanO1],
for longer private lines, distance dependence in pricing has
been decreasing over the last two decades.  In other respects, though,
pricing of the long distance connections is becoming more complicated.
In the days of strict government regulation, before the
1983 breakup of AT\&T, it used to be simple,
based just on the air distance
between the endpoints of the link.  This pricing was far divorced from
reasonable cost allocation.  It led large customers to place facilities
in various out-of-the-way places,
in order to minimize transmission costs
for connecting their branches.
This in turn led to intensive mathematical investigations
of the Steiner tree problem and related questions.
Today, in a competitive
market, two conflicting tendencies can be discerned.
On one hand, 
we are moving away from simple tariffs, and towards
negotiations and spot market.
This is especially noticeable for high capacity links.
This trend is in accord with the general thesis of this paper,
since prices of private lines, especially high bandwidth ones,
are high.  On the other hand, there is also an opposite
tendency, in which corporations are outsourcing
their entire data networks, and avoiding the complexity 
of dealing with a variety of carriers, price plans, as
well as network administration itself.

While private line networks have been growing, their growth rates
in recent years
have been moderate, about 20\% per year in bandwidth and 10\% in revenues
in the U.S., [CoffmanO1].  (Remarkably enough, these growth rates
are similar to the 28\% growth rate of data traffic
estimated for the late 1970s and early 1980s in [deSolaPITH].  
It might seem paradoxical that the growth rate would slow down
in recent years, but that is probably accounted for by growth
shifting to other data networks.) 
Much more rapid growth has been
taking place in the Frame Relay and ATM networks, which have
seen growth rates approaching and sometimes exceeding 100\%
per year.  Frame Relay is expected to overtake private lines
in revenues, at least in the U.S., within a couple of years.  Both
Frame Relay and ATM networks multiplex traffic from many
customers.  Most of the traffic is on PVCs (permanent virtual
circuits), which are analogs of private lines in providing
point-to-point connections.  Pricing is predominantly on the basis of the size
of the inlet to the public network, and independent of the
traffic actually carried.  (For the small fraction of traffic
carried on SVCs, switched virtual circuits, there are usually
usage sensitive charges, but for typical usage patterns, those
are small compared to the fixed monthly charges.)  Prices are
also independent of distance, except that international virtual
circuits are priced higher than domestic U.S. ones.  (Generally there is
no difference in pricing of international circuits
among countries.)  Thus the trend in this growth area is
towards maximal simplicity.





\section{Dedicated business connections to the Internet}
\hsp
The initial design decision about the Internet called for
flat rate pricing.  It was taken by ARPA.
It is often claimed that all 
dedicated connections to the Internet in the U.S. are
paid through flat rates.  However, a substantial,
although unknown, fraction are provided through
so-called ``burstable'' rates that are illustrated
in Table 15.1.  Traffic is measured over
5-minute intervals, and the higher of the two
traffic figures (for the two directions) is accumulated.  At the end of the
month, the top 5\% of these 5-minute samples are
discarded, and the highest remaining sample (the
95-th percentile) is used to determine the charges.
Thus if in a 30-day month the lowest 8208 of the 8640 samples
are below 384 Kbps, with at least one of those low 8208 samples 
above 256 Kbps, the charge for that month will be \$2500.
These rates often appear attractive to users who have light
traffic yet value the availability of broadband links
to achieve low transaction latency, but have low average
utilization.  However, the
pricing structure is such that in many cases
users pay more with burstable than with flat rates.
Unfortunately there are no studies on whether
burstable rates are getting more popular or not,
nor on what fraction of users who do pay burstable
rates save with them over flat rate prices.


\begin{table}[htb]
\begin{center}
Table 15.1. UUNet burstable rates for Internet access: \\
~ \\
\begin{tabular}{r@{~}lc}
\multicolumn{3}{l}{flat rate T1 (1.54 Mbps): \$2500/month} \\
~ \\
\multicolumn{3}{l}{burstable T1:} \\
~ \\
\multicolumn{2}{c}{95-th percentile} & monthly \\
\multicolumn{2}{c}{of bandwidth usage} & price \\
~ \\
$<$ 128 & Kbps & \$1300 \\
128-256 && 1900 \\
256-384 && 2500 \\
384-512 && 2750 \\
$>$ 512 && 3000 \\
\end{tabular}
\end{center}
\end{table}




Straightforward charging by the byte by service providers in the U.S. appears
to be most common in Web-hosting, where a company contracts out
the maintenance of its external Web server.  Typically the customer pays
a fixed monthly fee that depends on the bandwidth of the connection
to the Internet and storage space.  This fee covers some allotment
of bytes that are sent out, and additional ones beyond that limit
are charged at rates that are typically in the range of \$0.03-0.05 per MB.

Charging according to usage is also increasing as an internal
corporate cost allocation mechanism in the U.S.  With growth in data
traffic and resulting expenses, 
central corporate networking groups are moving towards charging different 
business units for their services according to the volume of traffic
those units generate.  

Perhaps the most important conclusion one can
draw from the frequent use of usage charging in the
U.S. is that measuring traffic volumes is not
too hard.  It is often claimed that
any kind of byte-counting would be extremely
expensive and not worth undertaking, and would
lead to endless billing disputes.  However, neither
of these problems seems to be a major obstacle,
at least not for the simple byte-counting that
is involved in either burstable rates or internal
corporate cost allocations.  (Attempting to
use pricing for real-time congestion control would
be much more complicated, though.)
Concerns have been raised about the fairness of charging
users more just when service is worst (which is when
packets dropped due to congestion cause retransmission),
or for packets sent in error or by malicious outsiders.  In practice, though,
these problems appear not to be serious.

Charging by volume appears to be more common in
other countries, especially those that have to pay
for expensive links to the U.S., where much of the
most popular Internet content resides.  The book
[McKnightB] has several papers and references to
other papers that describe early experiments with
usage-sensitive charging in places such as Chile
and New Zealand.  There are also some more recent
cases, such as those of JANET in Britain and Telstra in Australia.
See [Odlyzko5] for more details.




\section{Software agents and other technological palliatives}
\hsp
The histories of communication services presented in
the preceding sections largely conform to the thesis
of the Introduction; simple pricing
along with higher quality, lower prices, and increased
total spending is the natural evolutionary path for
communication services.  Deviations from this trend
tend to be associated with expensive and infrequent
transactions.  However, the Internet is
in many ways
unique, and so historical analogies might not apply.
In this section we consider some factors
that might make historical analogies invalid.
(Additional ones are discussed in [Odlyzko5].)

As was mentioned several times earlier in the paper,
yield management techniques are spreading
to a large extent because modern computing and
communication technologies are making them possible.
Manufacturers as well as service providers can get
real-time feedback on sales and orders and tailor
their production and pricing according to changing
conditions.  But we can turn this argument around.
Similar computing and communication technologies are 
also available to consumers.  Couldn't software agents be used to
automate the price and quality negotiation tasks that have historically
driven users to prefer simple pricing?  

My prediction is that agents will be used, but only to a limited
extent, and will not affect the drive for simplicity in pricing.
In many high-tech areas, invocations of the 
words ``software agent'' or ``genetic algorithms,'' or
``fuzzy logic'' are sometimes used to suggest that some technological
magic will take care of all the hard problems without requiring
serious thought.  In practice, this has not happened.  All these
approaches have proved useful, but not one has been a panacea.
There are two related factors that operate, and are likely
to continue operating, in pricing as well as other fields.
One is that these systems
that are supposed to simplify life are not all that easy to
master, and so are not as widespread as their proponents had
hoped.  The other is that even when these systems are used,
they serve to encourage the growth of complexity that eats
up any gain that had been achieved.
 
Both factors mentioned above are treated in more detail in
[Odlyzko5].  Here I will just mention that the general conclusion
about limited application of the supposedly revolutionary
pricing approaches 
is supported by the fate of companies such as Priceline.com
and eBay.  Although they attracted great attention from
the public and especially from investors, both have seen their
stock valuations plummet by the end of 2000.

Another way to deal with the complexity that optimization
requires and at the same time provide
the end users with the simplicity they desire is to
have intermediaries.  
These enterprises would negotiate with communication providers
for basic services
(using all the modern tools of auctions, futures, and derivatives)
and offer them in packages to users at flat rates.
This proposal is feasible, but does not refute any of the
arguments for simplicity presented here.  It basically consists
of renaming various agents in the communications marketplace.
The evidence of this paper is that simplicity is of paramount
importance for individuals and small organizations.  The
company that is responsible for their communications needs
is the effective carrier, whether that company has its own
physical facilities, or leases them from other carriers.













\section{Conclusions}
\hsp
The history of communication suggests strongly that 
as services become less expensive and are more
widely used, the balance shifts away from the
need to segment
the market, and thereby to extract maximal revenues and to maximize
utilization efficiency of the infrastructure.  Instead,
customer desire for simplicity becomes dominant.  

Simplicity is likely to be much more important on the Internet
than in other communication services.  Customers do not care
about the network, they care about their applications.  Those
applications are growing rapidly in number, variety, and
importance, as the Internet becomes what Bill Gates has
called the ``digital nervous system'' of more and more
organizations.  We will not want to worry how much to pay
for a packet from site X to site Y that was generated 
by our request for something from site A, which then
contacted site B, etc.  We will be happy to
pay extra for simple schemes that make our lives easy.  

Flat rate is by far the simplest pricing plan, and,
as predicted by Anania and Solomon [AnaniaS], it continues
to dominate the data transmission market.  The historical information
of this paper only strengthens the arguments of Anania and Solomon 
and of the papers [Odlyzko3, Odlyzko4] 
in favor of continuing with flat rates for data
transmission over core
fiber optic networks.  However, there
are and will continue to be settings where such pricing
may not be feasible.  One such area is in the U.S. long distance
voice telephony, where access charges are by far the
largest cost component.  Another such area is likely to be
in wireless communication.  Although the bandwidth there is
growing, it is orders of magnitude lower than on fiber, and will remain orders
of magnitude lower.  Hence wireless bandwidth will continue to be
relatively scarce (at least relative to that on fiber
backbones) and technical and economic methods to ration it
may continue to be required.

When usage sensitive pricing is required, 
customer preferences argue
for only the simplest possible schemes,
such as the Paris Metro Pricing proposal of [Odlyzko2].  
However,
it is best to avoid even schemes such as Paris Metro Pricing.
There are alternatives that have a usage sensitive 
component, yet approximate flat rate pricing from the
customer point of view.  One such alternative is 
block pricing, which provides a user with a large  
allotment of time (in cases of phone calls) or bytes
(for data).  There are various choices that can be
made with block pricing.  
% One can charge users
% extra when they exceed the limits of their block purchase,
% thereby providing incentives for them to do what they
% naturally do, namely buy more than they need.  One can
% instead provide various controls that insure there will
% be no unpleasant surprises.  (Either stop service when
% the limit is reached, or provide warnings when the limit
% is about to be reached,)  
The key point is to satisfy
users' desires for simplicity, predictability, and risk
avoidance.

Further along the spectrum towards true flat rate is the
``expected usage pricing'' of [Odlyzko4].
It would be similar to the most
popular Lexis/Nexis plans,
with service providers
offering users 
unlimited access for some period such as a year.  The pricing
would be determined by the capacity of the link and that customer's record
of prior usage.  Service providers would assume some growth
rate in traffic, and could put into the contracts provisions
for reopening them in case of unusual behavior.  This type of
scheme would leave scope for negotiations and for actions
that improve the efficiency of the network.  (``We will lower
your fee by 10\% if you agree to send your backups over our
network at 3 in the morning, and not at 10 in the evening.'')
Such an approach would have several advantages for service providers.
It would stimulate usage.  Further, it should also
reduce turnover, as a competitor attempting to attract
somebody else's customer would not have the detailed knowledge
of that customer, and so would face the problem of adverse
selection, in which only the least desirable customers might switch. 

The general conclusion is that we should strive for simplicity,
even at the cost of efficiency.  
That is the world of
communications has been evolving for the past two centuries,
and that is how it is likely to evolve in the future.
There will be opportunities for optimization of the network,
but they will have to be pursued in ways that do not burden
the end users.



% \clearpage

\paragraph{Acknowledgements:}
I owe much to the people who have provided me with information.
I am especially grateful to 
J\"orn Altmann and his colleagues in the INDEX project
for the usage data quoted in Section 9,
Sheldon Hochheiser for AT\&T historical data and pointers to other
useful sources, and
Jerry Mansfield for the history of the U.S. Postal Service.
I also thank
David Applegate,
Lars Aronsson,
Vijay Bhagavath,
Greg Blonder,
Frances Cairncross,
Karyen Chu,
Ken Church,
David Cracknell,
Whit Diffie,
Amy Friedlander,
David Gabel,
Ehud Gelblum,
Sam Glazer,
Derek Gregory,
Paul Henry,
David Hochfelder,
Paul Israel,
Laura Jereski,
Richard John,
Andreas Jonason,
Frank Kelly,
Richard Kielbowicz,
Don King,
Alan Kotok,
Jeff Lagarias,
Henry Landau,
Kenneth Lipartito,
Paul Odlyzko,
Hilarie Orman,
Alison Oswald,
Sam Paltridge,
Philono\"e,
Jim Reeds,
Jim Roberts,
Larry Roberts,
Angela Sasse,
Ulf Stahrenberg,
Hal Varian,
Dave Walden,
Roger Watt,
and
Barry Wellman,
for comments and useful information.
 


\paragraph{Price indices, conversion rates, and data sources:}

All prices listed in this paper are in current dollars (i.e., not adjusted
for inflation).  Where non-U.S. prices are quoted,
they have been converted to U.S. dollars at approximations
to the exchange rate valid at the time.  (For example, five dollars
to one pound sterling was used for all of the 19th century.)

More detailed explanations of the tables and figures (as well
as additional data) are contained in [Odlyzko5].

Figure 1.1 is based on quarterly financial reports from AOL,
available at $\langle$www-db.aol.com/corp/news/press/$\rangle$,
as well as statistics compiled by AFA,
the association of French ISPs, which are available at
$\langle$http://www.afa-france.com/html/chiffres/index.htm$\rangle$,
and Telecom New Zealand quarterly reports, available at
$\langle$http://202.27.156.72/invest/financial/index.html$\rangle$.

Table 1.1 is based on data from [ITU].  For Japan, the data
is for 1996.
The revenue figures include
wireless and data services.  

Expenditure
figures in Table 2.1 come from [USDOC1] and from recent annual reports of the
USPS.  Volume statistics for the years through 1840 are
derived from Table 1.2 on p.~4 of [John], supplemented by
some data in [Miles].

Table 2.2 is derived from statistics in [USDOC1, USDOC2].
The revenue figures include cell phones as well as
data services.

Tables 9.2, 10.1, and 10.2 are based on [USDOC1].

Pre-1999 prices in Table 11.1 were obtained from AT\&T Archives.

Table 15.1 comes from the end of 1999 online information for UUNet, available
at $\langle$http://www.uu.net$\rangle$.






% \clearpage

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