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In both psychology and economics, they use statistics as well as game theory. As a simple solution to the problem you mentioned, the government could confiscate all wealth and destroy it, leaving us socially equal.

Also, as Anna points our there's social choice theory where one should mention Arrow's theorem[http://en.wikipedia.org/wiki/Arrow%27s_impossibility_theorem].

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In both psychology and economics, they use statistics as well as game theory. As a simple solution to the problem you mentioned, the government could confiscate all wealth and destroy it, leaving us socially equal.