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One person/one vote is not efficient given information on factions. (English) Zbl 0606.90007
This paper argues that if we have any information about special interest groups in a society, then one person/one vote is not the most efficient voting system. Instead weighted voting is appropriate where the weights assigned to the various individuals depend on the correlation between different individual utilities. The reason why one person/one vote is inefficient is that the correlation between individual utilities allows us to get some estimates of preference intensities from the individual votes.
After proving this thesis in general, we illustrate it with a three person example. In the example, we find that moderately correlated individuals get the greatest weight.

MSC:
91B14 Social choice
91E99 Mathematical psychology
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