FYI: paper about Metcalfe's Law

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Subject: FYI: paper about Metcalfe's Law

Dear Colleagues,

Sorry for the spam, but I thought you might be interested in the
paper described below.  Comments are invited.

Andrew




                      A refutation of Metcalfe's Law
                   and a better estimate for the value
                of networks and network interconnections


                             Andrew Odlyzko
                        Digital Technology Center
                         University of Minnesota
                             odlyzko@xxxxxxx


                             Benjamin Tilly
                        ben_tilly@xxxxxxxxxxxxx



                               Abstract

Metcalfe's Law states that the value of a communications network
is proportional to the square of the size of the network.  It is
widely accepted and frequently cited.  However, there are several
arguments that this rule is a significant overestimate.  (Therefore
Reed's Law is even more of an overestimate, since it says that the
value of a network grows exponentially, in the mathematical sense,
in network size.) This note presents several quantitative arguments
that suggest the value of a general communication network of size n
grows like n*log(n).  This growth rate is faster than the linear
growth, of order n, that, according to Sarnoff's Law, governs the
value of a broadcast network.  On the other hand, it is much slower
than the quadratic growth of Metcalfe's Law, and helps explain the
failure of the dot-com and telecom booms, as well as why network
interconnection (such as peering on the Internet) remains a
controversial issue.




                            FULL PAPER AT:

            http://www.dtc.umn.edu/~odlyzko/doc/metcalfe.pdf


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FYI: paper about Metcalfe's Law