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

Author

Listed:
  • Haris Aziz

    (NICTA and UNSW)

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.

Suggested Citation

  • Haris Aziz, 2015. "Condorcet's Paradox and the Median Voter Theorem for Randomized Social Choice," Economics Bulletin, AccessEcon, vol. 35(1), pages 745-749.
    • Handle: RePEc:ebl:ecbull:eb-14-01048
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    References listed on IDEAS

    as
    1. Gibbard, Allan, 1977. "Manipulation of Schemes That Mix Voting with Chance," Econometrica, Econometric Society, vol. 45(3), pages 665-681, April.
    2. P. C. Fishburn, 1984. "Probabilistic Social Choice Based on Simple Voting Comparisons," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(4), pages 683-692.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Social choice theory; Condorcet's Paradox; Median Voter Theorem; Social decision function;
    All these keywords.

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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