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A nonasymptotic Condorcet jury theorem

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  • Ruth Ben-Yashar

    ()
    (Department of Economics, Bar-Ilan University, Ramat-Gan, Israel 52900)

  • Jacob Paroush

    ()
    (Department of Economics, Bar-Ilan University, Ramat-Gan, Israel 52900)

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    Abstract

    This paper provides first the condition under which the majority of an odd number of jurists is more likely to choose the better of two alternatives than a single jurist selected at random from the jurists, given that each jurist has a probability larger than one half of choosing correctly, and second that the same inequality holds for a subset of an odd number of jurists chosen at random from the original group.

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    Bibliographic Info

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

    Volume (Year): 17 (2000)
    Issue (Month): 2 ()
    Pages: 189-199

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    Handle: RePEc:spr:sochwe:v:17:y:2000:i:2:p:189-199

    Note: Received: 16 November 1998/Accepted: 8 January 1999
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    Cited by:
    1. Regenwetter, Michel & Grofman, Bernard & Marley, A. A. J., 2002. "On the model dependence of majority preference relations reconstructed from ballot or survey data," Mathematical Social Sciences, Elsevier, vol. 43(3), pages 451-466, July.
    2. Ruth Ben-Yashar, 2014. "The generalized homogeneity assumption and the Condorcet jury theorem," Theory and Decision, Springer, vol. 77(2), pages 237-241, August.
    3. Dietrich, Franz & Spiekermann, Kai, 2010. "Epistemic democracy with defensible premises," MPRA Paper 40135, University Library of Munich, Germany, revised Jun 2012.
    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. 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.
    6. 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.
    7. Dietrich, Franz, 2008. "The Premises of Condorcet's Jury Theorem Are Not Simultaneously Justified," Research Memorandum 012, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    8. 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.
    9. Bezalel Peleg & Shmuel Zamir, 2012. "Extending the Condorcet Jury Theorem to a general dependent jury," Social Choice and Welfare, Springer, vol. 39(1), pages 91-125, June.
    10. Eyal Baharad & Ruth Ben-Yashar, 2009. "The robustness of the optimal weighted majority rule to probability distortion," Public Choice, Springer, vol. 139(1), pages 53-59, April.

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