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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
Handle: RePEc:pra:mprapa:32716
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  1. Casella, Alessandra, 2002. "Storable Votes," CEPR Discussion Papers 3508, C.E.P.R. Discussion Papers.
  2. 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.
  3. Salvador Barbera, 1979. "Majority and Positional Voting in a Probabilistic Framework," Review of Economic Studies, Oxford University Press, vol. 46(2), pages 379-389.
  4. Börgers, Tilman & Postl, Peter, 2009. "Efficient compromising," Journal of Economic Theory, Elsevier, vol. 144(5), pages 2057-2076, September.
  5. 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.
  6. Tilman Börgers, 2001. "Costly Voting," NajEcon Working Paper Reviews 625018000000000232, www.najecon.org.
  7. Bengt Holmstrom & Roger B. Myerson, 1981. "Efficient and Durable Decision Rules with Incomplete Information," Discussion Papers 495, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Ledyard, John O., . "Incentive Compatibility and Incomplete Information," Working Papers 187, California Institute of Technology, Division of the Humanities and Social Sciences.
  9. Casella, Alessandra & Palfrey, Thomas R & Riezman, Raymond, 2005. "Minorities and Storable Votes," CEPR Discussion Papers 5278, C.E.P.R. Discussion Papers.
  10. Salvador Barberà & Matthew O. Jackson, 2003. "On the Weights of Nations: Assigning Voting Weights in a Heterogeneous Union," Working Papers 220, Barcelona Graduate School of Economics.
  11. Jeff Ely, 2003. "Foundations of Dominant Strategy Mechanisms," Theory workshop papers 658612000000000064, UCLA Department of Economics.
  12. Schofield, Norman, 1972. "Ethical Decision Rules for Uncertain Voters," British Journal of Political Science, Cambridge University Press, vol. 2(02), pages 193-207, April.
  13. 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.
  14. Dirk Bergemann & Stephen Morris, 2005. "Robust Mechanism Design," NajEcon Working Paper Reviews 666156000000000593, www.najecon.org.
  15. Salvador Barbera & Matthew O. Jackson, 2002. "Choosing How to Choose: Self Stable Majority Rules," Microeconomics 0211003, EconWPA.
  16. 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.
  17. Gibbard, Allan, 1977. "Manipulation of Schemes That Mix Voting with Chance," Econometrica, Econometric Society, vol. 45(3), pages 665-81, April.
  18. Matthias Messner & Mattias K. Polborn, 2004. "Voting on Majority Rules," Review of Economic Studies, Oxford University Press, vol. 71(1), pages 115-132.
  19. 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.
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