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Robust mechanism design and dominant strategy voting rules

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Author Info

  • Börgers, Tilman

    ()
    (Department of Economics, University of Michigan)

  • Smith, Doug

    ()
    (Federal Trade Commission)

Abstract

We develop an analysis of voting rules that is robust in the sense that we do not make any assumption regarding voters' knowledge about each other. In dominant strategy voting rules, voters' behavior can be predicted uniquely without making any such assumption. However, on full domains, the only dominant strategy voting rules are random dictatorships. We show that the designer of a voting rule can achieve Pareto improvements over random dictatorship by choosing rules in which voters' behavior can depend on their beliefs. The Pareto improvement is achieved for all possible beliefs. The mechanism that we use to demonstrate this result is simple and intuitive, and the Pareto improvement result extends to all equilibria of the mechanism that satisfy a mild refinement. We also show that the result only holds for voters' interim expected utilities, not for their ex post expected utilities.

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Bibliographic Info

Article provided by Econometric Society in its journal Theoretical Economics.

Volume (Year): 9 (2014)
Issue (Month): 2 (May)
Pages:

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Handle: RePEc:the:publsh:1111

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Web page: http://econtheory.org

Related research

Keywords: Robust mechanism design; Gibbard-Satterthwaite theorem;

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References

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  1. Salvador Barberà, 2010. "Strategy-proof social choice," UFAE and IAE Working Papers 828.10, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  2. Dutta, Bhaskar & Peter, Hans & Sen, Arunava, 2005. "Strategy-proof Cardinal Decision Schemes," The Warwick Economics Research Paper Series (TWERPS) 722, University of Warwick, Department of Economics.
  3. Schmitz, Patrick W. & Tröger, Thomas, 2012. "The (sub-)optimality of the majority rule," Games and Economic Behavior, Elsevier, vol. 74(2), pages 651-665.
  4. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
  5. Dirk Bergemann & Stephen Morris, 2003. "Robust Mechanism Design," Levine's Bibliography 666156000000000035, UCLA Department of Economics.
  6. Kim-Sau Chung & Jeffrey C. Ely, 2003. "Foundations of Dominant Strategy Mechanisms," Discussion Papers 1372, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  7. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-819, November.
  8. Tilman Borgers & Doug Smith, 2012. "Robustly Ranking Mechanisms," American Economic Review, American Economic Association, vol. 102(3), pages 325-29, May.
  9. Jackson, Matthew O., 1999. "A Crash Course in Implementation Theory," Working Papers 1076, California Institute of Technology, Division of the Humanities and Social Sciences.
  10. Blin, Jean-Marie & Satterthwaite, Mark A, 1977. "On Preferences, Beliefs, and Manipulation within Voting Situations," Econometrica, Econometric Society, vol. 45(4), pages 881-88, May.
  11. Tilman Börgers & Peter Postl, 2005. "Efficient Compromising," Levine's Bibliography 784828000000000188, UCLA Department of Economics.
  12. Jobst Heitzig & Forest Simmons, 2012. "Some chance for consensus: voting methods for which consensus is an equilibrium," Social Choice and Welfare, Springer, vol. 38(1), pages 43-57, January.
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Cited by:
  1. Dirk Bergemann & Stephen Morris, 2011. "Robust Mechanism Design: An Introduction," Cowles Foundation Discussion Papers 1818, Cowles Foundation for Research in Economics, Yale University.

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