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On the significance of the prior of a correct decision in committees

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  • Ruth Ben-Yashar
  • Shmuel Nitzan

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Abstract

The current note clarifies why, in committees, the prior probability of a correct collective choice might be of particular significance and possibly should sometimes even be the sole appropriate basis for making the collective decision. In particular, we present sufficient conditions for the superiority of a rule based solely on the prior relative to the simple majority rule, even when the decisional skills of the committee members are assumed to be homogeneous. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • Ruth Ben-Yashar & Shmuel Nitzan, 2014. "On the significance of the prior of a correct decision in committees," Theory and Decision, Springer, vol. 76(3), pages 317-327, March.
  • Handle: RePEc:kap:theord:v:76:y:2014:i:3:p:317-327
    DOI: 10.1007/s11238-013-9362-7
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    References listed on IDEAS

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    1. Ben-Yashar, Ruth C & Nitzan, Shmuel I, 1997. "The Optimal Decision Rule for Fixed-Size Committees in Dichotomous Choice Situations: The General Result," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 175-186, February.
    2. repec:cup:apsrev:v:92:y:1998:i:01:p:23-35_20 is not listed on IDEAS
    3. repec:cup:apsrev:v:96:y:2002:i:04:p:745-754_00 is not listed on IDEAS
    4. Lloyd Shapley & Bernard Grofman, 1984. "Optimizing group judgmental accuracy in the presence of interdependencies," Public Choice, Springer, vol. 43(3), pages 329-343, January.
    5. Daniel Berend & Jacob Paroush, 1998. "When is Condorcet's Jury Theorem valid?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(4), pages 481-488.
    6. Nitzan, Shmuel & Paroush, Jacob, 1982. "Optimal Decision Rules in Uncertain Dichotomous Choice Situations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(2), pages 289-297, June.
    7. repec:cup:apsrev:v:90:y:1996:i:01:p:34-45_20 is not listed on IDEAS
    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. Ruth Ben-Yashar & Igal Milchtaich, 2007. "First and second best voting rules in committees," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(3), pages 453-486, October.
    10. Ruth Ben-Yashar & Sarit Kraus, 2002. "Optimal collective dichotomous choice under quota constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(4), pages 839-852.
    11. repec:cup:apsrev:v:92:y:1998:i:02:p:413-418_21 is not listed on IDEAS
    12. Peyton Young, 1995. "Optimal Voting Rules," Journal of Economic Perspectives, American Economic Association, vol. 9(1), pages 51-64, Winter.
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    Citations

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    Cited by:

    1. BEN-YASHAR, Ruth & KRAUSZ, Miriam & NITZAN, Shmuel, 2017. "The Effect of Democratic Decision Making on Investment in Reputation," Discussion paper series HIAS-E-59, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    2. repec:kap:pubcho:v:171:y:2017:i:3:d:10.1007_s11127-017-0439-7 is not listed on IDEAS
    3. Bryan C. McCannon, 2015. "Condorcet jury theorems," Chapters,in: Handbook of Social Choice and Voting, chapter 9, pages 140-160 Edward Elgar Publishing.
    4. BEN-YASHAR, Ruth & NITZAN, Shmuel, 2017. "A Note on the Possible Advantage of Size Flexibility in Committees," Discussion paper series HIAS-E-61, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    5. Shuo Liu, 2015. "Voting with public information," ECON - Working Papers 191, Department of Economics - University of Zurich, revised Jun 2017.

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