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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 agents' ex-ante expected utilities among all anonymous and dominant-strategy implementable choice rules. But in some environments where the agents' 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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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 32716.

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Date of creation: Jun 2011
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Handle: RePEc:pra:mprapa:32716
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  1. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-819, November.
  2. Casella, Alessandra & Palfrey, Thomas & Riezman, Raymond, 2008. "Minorities and Storable Votes," Quarterly Journal of Political Science, now publishers, vol. 3(2), pages 165-200, July.
  3. Alessandra Casella, 2002. "Storable Votes," NBER Working Papers 9189, National Bureau of Economic Research, Inc.
  4. Dirk Bergemann & Stephen Morris, 2003. "Robust Mechanism Design," Levine's Bibliography 666156000000000035, UCLA Department of Economics.
  5. Tilman Börgers, 2001. "Costly Voting," NajEcon Working Paper Reviews 625018000000000232, www.najecon.org.
  6. Jeff Ely, 2003. "Foundations of Dominant Strategy Mechanisms," Theory workshop papers 658612000000000064, UCLA Department of Economics.
  7. Salvador Barbera, 1979. "Majority and Positional Voting in a Probabilistic Framework," Review of Economic Studies, Oxford University Press, vol. 46(2), pages 379-389.
  8. Tilman Börgers & Peter Postl, 2008. "Efficient Compromising," Discussion Papers 06-11R, Department of Economics, University of Birmingham.
  9. Matthias Messner & Mattias K. Polborn, 2004. "Voting on Majority Rules," Review of Economic Studies, Oxford University Press, vol. 71(1), pages 115-132.
  10. 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.
  11. 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.
  12. Salvador Barbera & Matthew O. Jackson, 2002. "Choosing How to Choose: Self Stable Majority Rules," Microeconomics 0211003, EconWPA.
  13. Ledyard, John O., 1978. "Incentive compatibility and incomplete information," Journal of Economic Theory, Elsevier, vol. 18(1), pages 171-189, June.
  14. Schofield, Norman, 1972. "Ethical Decision Rules for Uncertain Voters," British Journal of Political Science, Cambridge University Press, vol. 2(02), pages 193-207, April.
  15. Salvador BARBER?Author-Email: salvador.barbera@uab.es & Matthew O. JACKSON, 2003. "On the Weights of Nations: Assigning Voting Weights in a Heterogenous Union," UFAE and IAE Working Papers 597.03, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  16. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
  17. 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.
  18. Salvador Barbera & Matthew O. Jackson, 2004. "Choosing How to Choose: Self-Stable Majority Rules and Constitutions," The Quarterly Journal of Economics, Oxford University Press, vol. 119(3), pages 1011-1048.
  19. 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.
  20. Gibbard, Allan, 1977. "Manipulation of Schemes That Mix Voting with Chance," Econometrica, Econometric Society, vol. 45(3), pages 665-81, April.
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