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Committee decisions: Optimality and Equilibrium

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  • 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)

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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Bibliographic Info

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

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

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Related research

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

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References

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  1. Hans Gersbach & Volker Hahn, 2008. "Should the individual voting records of central bankers be published?," Social Choice and Welfare, Springer, vol. 30(4), pages 655-683, May.
  2. Roger B. Myerson, 1994. "Extended Poisson Games and the Condorcet Jury Theorem," Discussion Papers 1103, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  3. McLennan, Andrew, 2011. "Manipulation in elections with uncertain preferences," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 370-375.
  4. Eliaz, K., 1999. "Fault Tolerant Implementation," Papers 21-99, Tel Aviv.
  5. Job Swank & Otto H. Swank & Bauke Visser, 2008. "How Committees of Experts Interact with the Outside World: Some Theory, and Evidence from the FOMC," Journal of the European Economic Association, MIT Press, vol. 6(2-3), pages 478-486, 04-05.
  6. Sah, Raaj Kumar & Stiglitz, Joseph E, 1988. "Committees, Hierarchies and Polyarchies," Economic Journal, Royal Economic Society, vol. 98(391), pages 451-70, June.
  7. 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.
  8. 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.
  9. Nicola Persico, 2004. "Committee Design with Endogenous Information," Review of Economic Studies, Wiley Blackwell, vol. 71(1), pages 165-191, 01.
  10. Hahn, Volker, 2008. "Committees, sequential voting and transparency," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 366-385, November.
  11. 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.
  12. Wit, Jorgen, 1998. "Rational Choice and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 22(2), pages 364-376, February.
  13. Bauke Visser & Otto H Swank, 2007. "On Committees of Experts," The Quarterly Journal of Economics, MIT Press, vol. 122(1), pages 337-372, 02.
  14. Nicola Persico, 2004. "Committee Design with Endogenous Information," Review of Economic Studies, Oxford University Press, vol. 71(1), pages 165-191.
  15. Gerardi, Dino & Yariv, Leeat, 2007. "Deliberative voting," Journal of Economic Theory, Elsevier, vol. 134(1), pages 317-338, May.
  16. Dixit, Avinash & Weibull, Jörgen, 2006. "Political Polarization," Working Paper Series in Economics and Finance 655, Stockholm School of Economics, revised 12 Apr 2007.
  17. Kfir Eliaz, 2002. "Fault Tolerant Implementation," Review of Economic Studies, Oxford University Press, vol. 69(3), pages 589-610.
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Citations

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Cited by:
  1. Bezalel Peleg & Shmuel Zamir, 2009. "On Bayesian-Nash Equilibria Satisfying the Condorcet Jury Theorem: The Dependent Case," Discussion Paper Series dp527, The Center for the Study of Rationality, Hebrew University, Jerusalem.
  2. Bezalel Peleg & Shmuel Zamir, 2008. "Condorcet Jury Theorem: The Dependent Case," Levine's Working Paper Archive 122247000000002115, David K. Levine.
  3. Tovey, Craig A., 2010. "The instability of instability of centered distributions," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 53-73, January.

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