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Condorcet's Paradox and the Median Voter Theorem for Randomized Social Choice

Haris Aziz ()
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Haris Aziz: NICTA and UNSW

Economics Bulletin, 2015, vol. 35, issue 1, 745-749

Abstract: Condorcet's paradox is one of the most prominent results in social choice theory. It says that there may not exist any alternative that a net majority prefers over every other alternative. When outcomes need not be deterministic alternatives, we show that a similar paradox still exists even if preferences are dichotomous. Thus relaxing the requirement of discrete alternatives does not help in circumventing Condorcet's paradox. On the other hand, we show that a fractional/randomized version of Black's Median Voter Theorem still holds for single-peaked preferences.

Keywords: Social choice theory; Condorcet's Paradox; Median Voter Theorem; Social decision function (search for similar items in EconPapers)
JEL-codes: C7 D7 (search for similar items in EconPapers)
Date: 2015-03-28
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