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By volterwd (anonymous) | Posted April 22, 2009 at 00:28:23
Your calculation of connections is really just counting the possible number of pairs. The actualy 'connections' could be more or less.
In a large group I don't need to come to consensus with everyone. If i can come to consensus with a subgroup of people that can come to consensus with another subgroups so that all subgroups are in agreement we can have consensus with less 'connections'.
As well actual transactions can be far over the given number as you don't simply talk once to someone.
For the last point larger groups can be more efficient than smaller groups by allowing subgroups to form that 'negotiate'.
The idea makes sense but you far oversimplify and I don't think it really makes the point outside the inital analogy.
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