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Commitee decisions: optimality and equilibrium

  • Laslier, Jean-François

    ()

    (École Polytechnique)

  • Weibull, Jörgen

    ()

    (Dept. of Economics, Stockholm School of Economics)

We consider a committee facing a binary decision under uncertainty. Each member holds some private information. Members may have different preferences and initial beliefs, but they all agree which decision should be taken in each of the two states of the world. We characterize the optimal anonymous and deterministic voting rule and provide a homogeneity assumption on preferences and beliefs under which sincere voting is a Nash equilibrium for this rule. We also provide a necessary and sufficient condition for sincere voting to be an equilibrium under any deterministic majoritarian voting rule. We show that a class of slightly randomized majoritarian voting rules make sincere voting a strict and unique pure-strategy equilibrium. A slight deontological preference for sincere voting, or ex post revelation of individual votes – ”transparency” – combined with a concern for esteem, has the same effect.

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Paper provided by Stockholm School of Economics in its series SSE/EFI Working Paper Series in Economics and Finance with number 692.

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Length: 49 pages
Date of creation: 28 Jan 2008
Date of revision: 11 Mar 2008
Handle: RePEc:hhs:hastef:0692
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  1. Nicola Persico, 2004. "Committee Design with Endogenous Information," Review of Economic Studies, Wiley Blackwell, vol. 71(1), pages 165-191, 01.
  2. Eliaz, Kfir, 2002. "Fault Tolerant Implementation," Review of Economic Studies, Wiley Blackwell, vol. 69(3), pages 589-610, July.
  3. Bauke Visser & Otto H Swank, 2007. "On Committees of Experts," The Quarterly Journal of Economics, MIT Press, vol. 122(1), pages 337-372, 02.
  4. Kfir Eliaz, 2002. "Fault Tolerant Implementation," Review of Economic Studies, Oxford University Press, vol. 69(3), pages 589-610.
  5. Hahn, Volker, 2008. "Committees, sequential voting and transparency," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 366-385, November.
  6. Gerardi, Dino & Yariv, Leeat, 2007. "Deliberative voting," Journal of Economic Theory, Elsevier, vol. 134(1), pages 317-338, May.
  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. Wit, Jorgen, 1998. "Rational Choice and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 22(2), pages 364-376, February.
  9. 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.
  10. Nicola Persico, 2004. "Committee Design with Endogenous Information," Review of Economic Studies, Oxford University Press, vol. 71(1), pages 165-191.
  11. McLennan, Andrew, 2011. "Manipulation in elections with uncertain preferences," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 370-375.
  12. 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.
  13. Sah, Raaj Kumar & Stiglitz, Joseph E, 1988. "Committees, Hierarchies and Polyarchies," Economic Journal, Royal Economic Society, vol. 98(391), pages 451-70, June.
  14. 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.
  15. 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.
  16. Dixit, Avinash & Weibull, Jörgen, 2006. "Political Polarization," SSE/EFI Working Paper Series in Economics and Finance 655, Stockholm School of Economics, revised 12 Apr 2007.
  17. 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.
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