\"Metcalfe\'s Law\", which has been attributed to Bob Metcalfe (the inventor of
ID: 1095445 • Letter: #
Question
"Metcalfe's Law", which has been attributed to Bob Metcalfe (the inventor of Ethernet) says that
the value of a network is proportional to the square of the number of users. The idea is that,
if the value to each user of connecting to another user is $v, then as you add more users, the
connections increase more rapidly than the users, so the value of the network with n users is
v(n) = $v (n2 - n) / 2.
(a) On the graphs below, draw all the possible connections between the users. If the value of a
connection is $v = $1, write the value of the network.
(b) What assumption will we usually make about network externalities which doesn't fit with
Metcalfe's Law?
Metcalfe's Law, which has been attributed to Bob Metcalfe (the inventor of Ethernet) says that the value of a network is proportional to the square of the number of users. The idea is that, if the value to each user of connecting to another user is $v, then as you add more users, the connections increase more rapidly than the users, so the value of the network with n users is v(n) = $v (n^2 - n) / 2. (a) On the graphs below, draw all the possible connections between the users. If the value of a connection is $v = $1, write the value of the network. (b) What assumption will we usually make about network externalities which doesn't fit with Metcalfe's Law?Explanation / Answer
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