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The (sub-)optimality of the majority rule

  • Schmitz, Patrick W.
  • Tröger, Thomas

We consider collective choice from two alternatives. Ex-ante, each agent is uncertain about which alternative she prefers, and may be uncertain about the intensity of her preferences. An environment is given by a probability distribution over utility vectors that is symmetric across agents and neutral across alternatives. In many environments, the majority voting rule maximizes agentsʼ ex-ante expected utilities among all anonymous and dominant-strategy implementable choice rules. But in some environments where the agentsʼ utilities are stochastically correlated, other dominant-strategy choice rules are better for all agents. If utilities are stochastically independent across agents, majority voting is ex-ante optimal among all anonymous and incentive-compatible rules. We also compare rules from an interim-viewpoint.

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File URL: http://www.sciencedirect.com/science/article/pii/S0899825611001308
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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 74 (2012)
Issue (Month): 2 ()
Pages: 651-665

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Handle: RePEc:eee:gamebe:v:74:y:2012:i:2:p:651-665
DOI: 10.1016/j.geb.2011.08.002
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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  1. Barbera, Salvador & Matthew O. Jackson, 2004. "On the Weights of Nations: Assigning Voting Weights in a Heterogeneous Union," Working Papers 1196, California Institute of Technology, Division of the Humanities and Social Sciences.
  2. Salvador BARBER?Author-Email: salvador.barbera@uab.es & Matthew O. JACKSON, 2003. "Choosing How to Choose: Self-Stable Majority Rules and Constitutions," UFAE and IAE Working Papers 596.03, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  3. Matthias Messner & Mattias K. Polborn, 2004. "Voting on Majority Rules," Review of Economic Studies, Oxford University Press, vol. 71(1), pages 115-132.
  4. Tilman Börgers, 2001. "Costly Voting," Levine's Working Paper Archive 625018000000000232, David K. Levine.
  5. Casella, Alessandra & Palfrey, Thomas R. & Riezman, Raymond, 2006. "Minorities and storable votes," Working Papers 1261, California Institute of Technology, Division of the Humanities and Social Sciences.
  6. Tilman Börgers & Peter Postl, 2008. "Efficient Compromising," Discussion Papers 06-11R, Department of Economics, University of Birmingham.
  7. Matthew O Jackson & Hugo F Sonnenschein, 2007. "Overcoming Incentive Constraints by Linking Decisions -super-1," Econometrica, Econometric Society, vol. 75(1), pages 241-257, 01.
  8. Paul Milgrom & Robert J. Weber, 1981. "A Theory of Auctions and Competitive Bidding," Discussion Papers 447R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  9. Schofield, Norman, 1972. "Ethical Decision Rules for Uncertain Voters," British Journal of Political Science, Cambridge University Press, vol. 2(02), pages 193-207, April.
  10. Alessandra Casella, 2002. "Storable Votes," NBER Working Papers 9189, National Bureau of Economic Research, Inc.
  11. Ledyard, John O., . "Incentive Compatibility and Incomplete Information," Working Papers 187, California Institute of Technology, Division of the Humanities and Social Sciences.
  12. Stephen Morris & Dirk Bergemann, 2004. "Robust Mechanism Design," Yale School of Management Working Papers ysm380, Yale School of Management.
  13. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-1819, November.
  14. Kim-Sau Chung & J.C. Ely, 2007. "Foundations of Dominant-Strategy Mechanisms," Review of Economic Studies, Oxford University Press, vol. 74(2), pages 447-476.
  15. Krasa, Stefan & Polborn, Mattias K., 2009. "Is mandatory voting better than voluntary voting?," Games and Economic Behavior, Elsevier, vol. 66(1), pages 275-291, May.
  16. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309-309.
  17. Gibbard, Allan, 1977. "Manipulation of Schemes That Mix Voting with Chance," Econometrica, Econometric Society, vol. 45(3), pages 665-681, April.
  18. Salvador Barbera, 1979. "Majority and Positional Voting in a Probabilistic Framework," Review of Economic Studies, Oxford University Press, vol. 46(2), pages 379-389.
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