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Monotonicity in Condorcet Jury Theorem

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  • Daniel Berend
  • Luba Sapir

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    Abstract

    Consider a committee of experts dealing with dichotomous choice problem, where the correctness probabilities are all greater than [InlineMediaObject not available: see fulltext.] We prove that, if a random subcommittee of odd size m is selected randomly, and entrusted to make a decision by majority vote, its probability of deciding correctly increases with m. This includes a result of Ben-Yashar and Paroush (2000), who proved that a random subcommittee of size m≥3 is preferable to a random single expert. Copyright Springer-Verlag 2005

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    Bibliographic Info

    Article provided by Springer in its journal Social Choice and Welfare.

    Volume (Year): 24 (2005)
    Issue (Month): 1 (08)
    Pages: 83-92

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    Handle: RePEc:spr:sochwe:v:24:y:2005:i:1:p:83-92

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    Cited by:
    1. Serguei Kaniovski, 2010. "Aggregation of correlated votes and Condorcet’s Jury Theorem," Theory and Decision, Springer, vol. 69(3), pages 453-468, September.
    2. Ruth Ben-Yashar & Winston Koh & Shmuel Nitzan, 2009. "Is Specialization Desirable in Committee Decision Making?," Working Papers 2009-16, Department of Economics, Bar-Ilan University.
    3. Eyal Baharad & Jacob Goldberger & Moshe Koppel & Shmuel Nitzan, 2011. "Beyond Condorcet: Optimal Aggregation Rules Using Voting Records," CESifo Working Paper Series 3323, CESifo Group Munich.
    4. Ruth Ben-Yashar & Mor Zahavi, 2011. "The Condorcet jury theorem and extension of the franchise with rationally ignorant voters," Public Choice, Springer, vol. 148(3), pages 435-443, September.
    5. Ruth Ben-Yashar, 2014. "The generalized homogeneity assumption and the Condorcet jury theorem," Theory and Decision, Springer, vol. 77(2), pages 237-241, August.
    6. Daniel Berend & Luba Sapir, 2007. "Monotonicity in Condorcet’s Jury Theorem with dependent voters," Social Choice and Welfare, Springer, vol. 28(3), pages 507-528, April.

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