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Committee decisions: Optimality and Equilibrium

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Author Info
Jean-François Laslier (Department of Economics, Ecole Polytechnique - CNRS : UMR7176 - Polytechnique - X)
Jörgen Weibull (Department of Economics, Ecole Polytechnique - CNRS : UMR7176 - Polytechnique - X, SSE - Department of Economics - Stockholm School of Economics)

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Abstract

We consider a group or committee that faces a binary decision under uncertainty. Each member holds some private information. Members agree which decision should be taken in each state of nature, had this been known, but they may attach different values to the two types of mistake that may occur. Most voting rules have a plethora of uninformative equilibria, and informative voting may be incompatible with equilibrium. We analyze an anonymous randomized majority rule that has a unique equilibrium. This equilibrium is strict, votes are informative, and the equilibrium implements the optimal decision with probability one in the limit as the committee size goes to infinity. We show that this also holds for the usual majority rule under certain perturbations of the behavioral assumptions: (i) a slight preference for voting according to one's conviction, and (ii) transparency and a slight preference for esteem. We also show that a slight probability for voting mistakes strengthens the incentive for informative voting.

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Paper provided by HAL in its series Working Papers with number halshs-00121741_v3.

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Date of creation: Sep 2008
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Handle: RePEc:hal:wpaper:halshs-00121741_v3

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Related research
Keywords: Voting; Condorcet; committee; judgement aggregation.;

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This paper has been announced in the following NEP Reports: References listed on IDEAS
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  1. Ruth Ben-Yashar & Igal Milchtaich, 2007. "First and second best voting rules in committees," Social Choice and Welfare, Springer, vol. 29(3), pages 453-486, October. [Downloadable!] (restricted)
  2. Wit, Jorgen, 1998. "Rational Choice and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 22(2), pages 364-376, February. [Downloadable!] (restricted)
  3. Myerson, Roger B., 1998. "Extended Poisson Games and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 25(1), pages 111-131, October. [Downloadable!] (restricted)
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  4. Bauke Visser & Otto H Swank, 2007. "On Committees of Experts," The Quarterly Journal of Economics, MIT Press, vol. 122(1), pages 337-372, 02. [Downloadable!] (restricted)
  5. Eliaz, Kfir, 2002. "Fault Tolerant Implementation," Review of Economic Studies, Blackwell Publishing, vol. 69(3), pages 589-610, July.
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  6. Al-Najjar, Nabil I. & Smorodinsky, Rann, 2000. "Pivotal Players and the Characterization of Influence," Journal of Economic Theory, Elsevier, vol. 92(2), pages 318-342, June. [Downloadable!] (restricted)
  7. Feddersen, Timothy J & Pesendorfer, Wolfgang, 1996. "The Swing Voter's Curse," American Economic Review, American Economic Association, vol. 86(3), pages 408-24, June.
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    • Timothy J. Feddersen & Wolfgang Pesendorfer, 1995. "The Swing Voter's Curse," Discussion Papers 1064, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  8. Gerardi, Dino & Yariv, Leeat, 2007. "Deliberative voting," Journal of Economic Theory, Elsevier, vol. 134(1), pages 317-338, May. [Downloadable!] (restricted)
  9. Nicola Persico, 2004. "Committee Design with Endogenous Information," Review of Economic Studies, Blackwell Publishing, vol. 71(1), pages 165-191, 01. [Downloadable!] (restricted)
  10. Hahn, Volker, 2008. "Committees, sequential voting and transparency," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 366-385, November. [Downloadable!] (restricted)
  11. Sah, Raaj Kumar & Stiglitz, Joseph E, 1988. "Committees, Hierarchies and Polyarchies," Economic Journal, Royal Economic Society, vol. 98(391), pages 451-70, June. [Downloadable!] (restricted)
  12. Dixit, Avinash & Weibull, Jörgen, 2006. "Political Polarization," Working Paper Series in Economics and Finance 655, Stockholm School of Economics, revised 12 Apr 2007. [Downloadable!]
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  1. Bezalel Peleg & Shmuel Zamir, 2008. "Condorcet Jury Theorem: The Dependent Case," Levine's Working Paper Archive 122247000000002422, David K. Levine. [Downloadable!]
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