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A nonasymptotic Condorcet jury theorem

Author

Listed:
  • 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)

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.

Suggested Citation

  • 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.
  • 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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    Citations

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    Cited by:

    1. Dietrich, Franz & Spiekermann, Kai, 2013. "Epistemic Democracy With Defensible Premises," Economics and Philosophy, Cambridge University Press, vol. 29(01), pages 87-120, March.
    2. 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.
    3. 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.
    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. repec:kap:theord:v:82:y:2017:i:3:d:10.1007_s11238-016-9570-z is not listed on IDEAS
    6. 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).
    7. 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.
    8. Ruth Ben-Yashar, 2014. "The generalized homogeneity assumption and the Condorcet jury theorem," Theory and Decision, Springer, vol. 77(2), pages 237-241, August.
    9. Ruth Ben-Yashar & Winston Koh & Shmuel Nitzan, 2012. "Is specialization desirable in committee decision making?," Theory and Decision, Springer, vol. 72(3), pages 341-357, March.
    10. repec:kap:pubcho:v:171:y:2017:i:3:d:10.1007_s11127-017-0439-7 is not listed on IDEAS
    11. repec:kap:theord:v:83:y:2017:i:3:d:10.1007_s11238-017-9602-3 is not listed on IDEAS
    12. Sapir, Luba, 2005. "Generalized means of jurors' competencies and marginal changes of jury's size," Mathematical Social Sciences, Elsevier, vol. 50(1), pages 83-101, July.
    13. 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.
    14. Ingo Althöfer & Raphael Thiele, 2016. "A Condorcet jury theorem for couples," Theory and Decision, Springer, vol. 81(1), pages 1-15, June.
    15. Bezalel Peleg & Shmuel Zamir, 2012. "Extending the Condorcet Jury Theorem to a general dependent jury," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(1), pages 91-125, June.

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