Reed's law is the assertion of 
David P. Reed that the 
utility of large 
networks, particularly 
social networks, can 
scale exponentially with the size of the network.
The reason for this is that the number of possible sub-groups of network participants is 

, where 
N is the number of participants. This grows much more rapidly than either
- the number of participants, N, or
- the number of possible pair connections,  (which follows Metcalfe's law). (which follows Metcalfe's law).
so that even if the utility of groups available to be joined is very small on a peer-group basis, eventually the 
network effect of potential group membership can dominate the overall economics of the system.
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