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Information aggregation in multicandidate elections under plurality rule and runoff voting

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  • Hummel, Patrick

Abstract

I consider a model in which imperfectly informed voters with common interests participate in a multicandidate election decided by either plurality rule or a runoff. Prior to the election, each voter receives a private signal corresponding to the candidate the voter thinks is best. Voters are relatively more likely to think a given candidate is best if the candidate is a relatively better candidate. I show that there is a sequence of equilibrium strategies for the voters such that, as the number of voters goes to infinity, the probability that the best candidate is elected goes to 1. I further show that all candidates receive significant vote shares in any equilibrium in which information fully aggregates under plurality rule and that voters do at least as well when the election is decided by a runoff as they do when the election is decided by plurality rule.

Suggested Citation

  • Hummel, Patrick, 2011. "Information aggregation in multicandidate elections under plurality rule and runoff voting," Mathematical Social Sciences, Elsevier, vol. 62(1), pages 1-6, July.
  • Handle: RePEc:eee:matsoc:v:62:y:2011:i:1:p:1-6
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    References listed on IDEAS

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    1. Patrick Hummel, 2010. "Jury theorems with multiple alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(1), pages 65-103, January.
    2. Feddersen, Timothy & Pesendorfer, Wolfgang, 1998. "Convicting the Innocent: The Inferiority of Unanimous Jury Verdicts under Strategic Voting," American Political Science Review, Cambridge University Press, vol. 92(1), pages 23-35, March.
    3. Kanazawa, Satoshi, 1998. "A brief note on a further refinement of the Condorcet Jury Theorem for heterogeneous groups," Mathematical Social Sciences, Elsevier, vol. 35(1), pages 69-73, January.
    4. Gerardi, Dino, 2000. "Jury Verdicts and Preference Diversity," American Political Science Review, Cambridge University Press, vol. 94(2), pages 395-406, June.
    5. Mark Fey, 2003. "A note on the Condorcet Jury Theorem with supermajority voting rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(1), pages 27-32.
    6. Daniel Berend & Jacob Paroush, 1998. "When is Condorcet's Jury Theorem valid?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(4), pages 481-488.
    7. Austen-Smith, David & Banks, Jeffrey S., 1996. "Information Aggregation, Rationality, and the Condorcet Jury Theorem," American Political Science Review, Cambridge University Press, vol. 90(1), pages 34-45, March.
    8. Myerson, Roger B., 1998. "Extended Poisson Games and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 25(1), pages 111-131, October.
    9. Ladha, Krishna K., 1995. "Information pooling through majority-rule voting: Condorcet's jury theorem with correlated votes," Journal of Economic Behavior & Organization, Elsevier, vol. 26(3), pages 353-372, May.
    10. Martinelli, Cesar, 2002. "Convergence Results for Unanimous Voting," Journal of Economic Theory, Elsevier, vol. 105(2), pages 278-297, August.
    11. Duggan, John & Martinelli, Cesar, 2001. "A Bayesian Model of Voting in Juries," Games and Economic Behavior, Elsevier, vol. 37(2), pages 259-294, November.
    12. Owen, Guillermo & Grofman, Bernard & Feld, Scott L., 1989. "Proving a distribution-free generalization of the Condorcet Jury Theorem," Mathematical Social Sciences, Elsevier, vol. 17(1), pages 1-16, February.
    13. Adam Meirowitz, 2002. "Informative voting and condorcet jury theorems with a continuum of types," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(1), pages 219-236.
    14. McLennan, Andrew, 1998. "Consequences of the Condorcet Jury Theorem for Beneficial Information Aggregation by Rational Agents," American Political Science Review, Cambridge University Press, vol. 92(2), pages 413-418, June.
    15. Wit, Jorgen, 1998. "Rational Choice and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 22(2), pages 364-376, February.
    16. Peyton Young, 1995. "Optimal Voting Rules," Journal of Economic Perspectives, American Economic Association, vol. 9(1), pages 51-64, Winter.
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    Cited by:

    1. Tsakas, Nikolas & Xefteris, Dimitrios, 2021. "Stress-testing the runoff rule in the laboratory," Games and Economic Behavior, Elsevier, vol. 128(C), pages 18-38.
    2. J. Goertz, 2014. "Inefficient committees: small elections with three alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(2), pages 357-375, August.

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