Aggregating sets of judgments: two impossibility results compared
May’s celebrated theorem (1952) shows that, if a group of individuals wants to make a choice between two alternatives (say x and y), then majority voting is the unique decision procedure satisfying a set of attractive minimal conditions. The conditions are (i) universal domain: the decision procedure should produce an outcome (x, y or tie) for any logically possible combination of individual votes for x and y; (ii) anonymity: the collective choice should be invariant under permutations of the...[Show more]
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