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Fragility of The Condorcet Jury Theorem: Information Aggregation and Preference Aggregation

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  • Masayuki Odora

    (Graduate School of Economics, Waseda University)

Abstract

This study considers a binary election in which imperfectly informed voters have partially conflicting interests. There is an unambiguously correct alternative in some states, while voters disagree on the better alternative in other states. The true state is unknown to anybody, but each voter receives a private signal about the state. This study identifies the circumstances in which the probability that a society utilizing the majority rule reaches the correct decisions does not converge to 1, thus showing the failure of an asymptotic Condorcet Jury Theorem. Moreover, we show that the voting behavior never reflects voters’ private information in the large elections.

Suggested Citation

  • Masayuki Odora, 2024. "Fragility of The Condorcet Jury Theorem: Information Aggregation and Preference Aggregation," Working Papers 2308, Waseda University, Faculty of Political Science and Economics.
  • Handle: RePEc:wap:wpaper:2308
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    References listed on IDEAS

    as
    1. Timothy Feddersen & Wolfgang Pesendorfer, 1997. "Voting Behavior and Information Aggregation in Elections with Private Information," Econometrica, Econometric Society, vol. 65(5), pages 1029-1058, September.
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    3. 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.
    4. Paul R. Milgrom, 1981. "Good News and Bad News: Representation Theorems and Applications," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 380-391, Autumn.
    5. 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.
    6. Elisabeth Schulte, 2012. "Communication in committees: who should listen?," Public Choice, Springer, vol. 150(1), pages 97-117, January.
    7. repec:dau:papers:123456789/1908 is not listed on IDEAS
    8. 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.
    9. Wit, Jorgen, 1998. "Rational Choice and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 22(2), pages 364-376, February.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    bargaining; Information aggregation; partially conflicting interests; Condorcet Jury Theorem;
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