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An invariance result for homogeneous juries with correlated votes

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  • Kaniovski, Serguei

Abstract

A joint probability distribution on the set of voting profiles is called second-order invariant if the probability of a jury collectively making the correct decision under simple majority rule (Condorcet's probability) is independent of second-order correlations. This paper establishes the existence of such distributions for homogeneous juries of an arbitrary size. In a homogeneous jury each juror's vote has an equal probability of being correct, and each pair of jurors' votes correlates with the same correlation coefficient.

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  • Kaniovski, Serguei, 2009. "An invariance result for homogeneous juries with correlated votes," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 213-222, March.
    • Handle: RePEc:eee:matsoc:v:57:y:2009:i:2:p:213-222
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    References listed on IDEAS

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    1. Berg, Sven, 1993. "Condorcet's jury theorem revisited," European Journal of Political Economy, Elsevier, vol. 9(3), pages 437-446, August.
    2. Serguei Kaniovski & Dennis Leech, 2009. "A behavioral power index," Public Choice, Springer, vol. 141(1), pages 17-29, October.
    3. Heard, Andrew & Swartz, Tim, 1998. "Empirical Banzhaf Indices," Public Choice, Springer, vol. 97(4), pages 701-707, December.
    4. Serguei Kaniovski, 2010. "Aggregation of correlated votes and Condorcet’s Jury Theorem," Theory and Decision, Springer, vol. 69(3), pages 453-468, September.
    5. Daniel Berend & Luba Sapir, 2007. "Monotonicity in Condorcet’s Jury Theorem with dependent voters," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(3), pages 507-528, April.
    6. Fiona Hayes‐Renshaw & Wim Van Aken & Helen Wallace, 2006. "When and Why the EU Council of Ministers Votes Explicitly," Journal of Common Market Studies, Wiley Blackwell, vol. 44(1), pages 161-194, March.
    7. Newcombe, Hanna & Ross, Michael & Newcombe, Alan G., 1970. "United Nations Voting Patterns," International Organization, Cambridge University Press, vol. 24(01), pages 100-121, December.
    8. 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.
    9. Serguei Kaniovski, 2008. "The exact bias of the Banzhaf measure of power when votes are neither equiprobable nor independent," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 281-300, August.
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    Cited by:

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    2. Pivato, Marcus, 2017. "Epistemic democracy with correlated voters," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 51-69.
    3. Hendrik Siebe, 2024. "The interdependence of social deliberation and judgment aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 63(3), pages 475-507, November.

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