Arrow's Impossibility Theorem
Above all, everyone wants voting to be fair. What does fair mean and how can we measure it? Kenneth Arrow posited a simple set of conditions that one would certainly desire in a voting system. For example, unanimity - if everyone picks candidate A, then A should win!
Yet surprisingly, under a few basic assumptions, this theorem demonstrates that no voting system exists which can satisfy all the criteria.
This episode is a discussion about the structure of the proof and some of its implications.
Works Mentioned
A Difficulty in the Concept of Social Welfare by Kenneth J. Arrow
Three Brief…
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