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A Condorcet jury theorem for couples

Author

Listed:
  • Ingo Althöfer

    (Friedrich Schiller University)

  • Raphael Thiele

    (Friedrich Schiller University)

Abstract

The agents of a jury have to decide between a good and a bad option through simple majority voting. In this paper the jury consists of N independent couples. Each couple consists of two correlated agents of the same competence level. Different couples may have different competence levels. In addition, each agent is assumed to be better than completely random guessing. We prove tight lower and upper bounds for the quality of the majority decision. The lower bound is the same as the competence of majority voting of N independent agents. The upper bound cases for negatively correlated couples can be much better than the value for $$2 \, N$$ 2 N independent agents.

Suggested Citation

  • Ingo Althöfer & Raphael Thiele, 2016. "A Condorcet jury theorem for couples," Theory and Decision, Springer, vol. 81(1), pages 1-15, June.
    • Handle: RePEc:kap:theord:v:81:y:2016:i:1:d:10.1007_s11238-015-9521-0
    DOI: 10.1007/s11238-015-9521-0
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    References listed on IDEAS

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    1. Bernard Grofman, 1975. "A comment on ‘democratic theory: A preliminary mathematical model.’," Public Choice, Springer, vol. 21(1), pages 99-103, March.
    2. 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.
    3. Alexander Zaigraev & Serguei Kaniovski, 2012. "Bounds on the competence of a homogeneous jury," Theory and Decision, Springer, vol. 72(1), pages 89-112, January.
    4. Serguei Kaniovski & Alexander Zaigraev, 2011. "Optimal jury design for homogeneous juries with correlated votes," Theory and Decision, Springer, vol. 71(4), pages 439-459, October.
    5. Serguei Kaniovski, 2010. "Aggregation of correlated votes and Condorcet’s Jury Theorem," Theory and Decision, Springer, vol. 69(3), pages 453-468, September.
    6. Ruth Ben-Yashar & Jacob Paroush, 2000. "A nonasymptotic Condorcet jury theorem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(2), pages 189-199.
    7. 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.
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    Cited by:

    1. Raphael Thiele, 2017. "A note on the Condorcet jury theorem for couples," Theory and Decision, Springer, vol. 83(3), pages 355-364, October.

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