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Picking the Winners

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  • Pablo Amorós

    ()
    (Department of Economic Theory, Universidad de Málaga)

Abstract

We analyze the problem of choosing the w contestants who will win a competition within a group of n > w competitors when all jurors commonly observe who the w best contestants are, but they may be biased. We study conditions on the configuration of the jury so that it is possible to induce the jurors to always choose the best contestants, whoever they are. If the equilibrium concept is dominant strategies, the condition is very strong: there must be at least one juror who is totally impartial, and the planner must have some information about who this juror is. If the equilibrium concept is Nash (or subgame perfect) equilibria the condition is less demanding: for each pair of contestants, the planner must know at least one juror who is not biased in favor/against any of them. Furthermore, the latter condition is also necessary for any other equilibrium concept.

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File URL: http://webdeptos.uma.es/THEconomica/malagawpseries/Papers/METCwp2010-6.pdf
File Function: First version, 2010
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Bibliographic Info

Paper provided by Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center in its series Working Papers with number 2010-06.

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Length: 27 pages
Date of creation: Jul 2010
Date of revision:
Handle: RePEc:mal:wpaper:2010-6

Note: This is a revised version of METCwp2009-2
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Keywords: Mechanism design; Social choice;

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  1. Amoros, Pablo & Corchon, Luis C. & Moreno, Bernardo, 2002. "The Scholarship Assignment Problem," Games and Economic Behavior, Elsevier, vol. 38(1), pages 1-18, January.
  2. 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.
  3. Yamato, Takehiko, 1992. "On nash implementation of social choice correspondences," Games and Economic Behavior, Elsevier, vol. 4(3), pages 484-492, July.
  4. Danilov, Vladimir, 1992. "Implementation via Nash Equilibria," Econometrica, Econometric Society, vol. 60(1), pages 43-56, January.
  5. Timothy Feddersen & Wolfgang Pesendorfer, 1997. "Voting Behavior and Information Aggregation in Elections with Private Information," Econometrica, Econometric Society, vol. 65(5), pages 1029-1058, September.
  6. Martinelli, Cesar, 2002. "Convergence Results for Unanimous Voting," Journal of Economic Theory, Elsevier, vol. 105(2), pages 278-297, August.
  7. Asher Wolinsky, 1999. "Eliciting Information From Multiple Experts," Discussion Papers 1277, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Abreu, Dilip & Sen, Arunava, 1990. "Subgame perfect implementation: A necessary and almost sufficient condition," Journal of Economic Theory, Elsevier, vol. 50(2), pages 285-299, April.
  9. Matthew 0. Jackson, 1989. "Implementation in Undominated Strategies - A Look at Bounded Mechanisms," Discussion Papers 833, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  10. John Duggan & Cesar Martinelli, 1998. "A Bayesian Model of Voting in Juries," Wallis Working Papers WP14, University of Rochester - Wallis Institute of Political Economy.
  11. Hitoshi Matsushima, 2006. "Role of Honesty in Full Implementation," CIRJE F-Series CIRJE-F-405, CIRJE, Faculty of Economics, University of Tokyo.
  12. Saijo, Tatsuyoshi, 1988. "Strategy Space Reduction in Maskin's Theorem: Sufficient Conditions for Nash Implementation," Econometrica, Econometric Society, vol. 56(3), pages 693-700, May.
  13. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
  14. Dino Gerardi & Richard McLean & Andrew Postlewaite, 2005. "Aggregation of Expert Opinions," Cowles Foundation Discussion Papers 1503, Cowles Foundation for Research in Economics, Yale University.
  15. Maskin, Eric, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Wiley Blackwell, vol. 66(1), pages 23-38, January.
  16. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September.
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