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Maximum Likelihood Social Choice Rule

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  • Yuta Nakamura

Abstract

type="main"> This study is related to a Condorcetian problem of information aggregation that finds a “true” social ordering using individual orderings, that are supposed to partly contain the “truth”. In this problem, we introduce a new maximum likelihood rule and analyse its performance. This rule selects an alternative that maximizes the probability of realizing individual orderings, conditional on the alternative being the top according to a true social ordering. We show that under a neutrality condition of alternatives, the probability that our rule selects the true top alternative is higher than that of any other rule.

Suggested Citation

  • Yuta Nakamura, 2015. "Maximum Likelihood Social Choice Rule," The Japanese Economic Review, Japanese Economic Association, vol. 66(2), pages 271-284, June.
    • Handle: RePEc:bla:jecrev:v:66:y:2015:i:2:p:271-284
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    File URL: http://hdl.handle.net/10.1111/jere.12065
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    References listed on IDEAS

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    1. Ruth Ben-Yashar & Jacob Paroush, 2001. "Optimal decision rules for fixed-size committees in polychotomous choice situations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 737-746.
    2. Mohamed Drissi-Bakhkhat & Michel Truchon, 2004. "Maximum likelihood approach to vote aggregation with variable probabilities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(2), pages 161-185, October.
    3. Young, H. P., 1988. "Condorcet's Theory of Voting," American Political Science Review, Cambridge University Press, vol. 82(4), pages 1231-1244, December.
    4. Peyton Young, 1995. "Optimal Voting Rules," Journal of Economic Perspectives, American Economic Association, vol. 9(1), pages 51-64, Winter.
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