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Picking the Winners

  • Pablo Amorós

    ()

    (Department of Economic Theory, Universidad de Málaga)

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 are the w best contestants but 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 used by the jurors is dominant strategies, the necessary and sufficient conditions incorporate very strong informational requirements on the mechanism designer. If we relax the equilibrium concept to Nash or subgame perfect equilibria the necessary and sufficient conditions are less demanding. Moreover, these conditions are also necessary for any other equilibrium concept. Finally, we study one specific application: we propose a simple and natural mechanism for the case where each juror is biased in favor of one and only one (different) contestant.

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File URL: http://webdeptos.uma.es/THEconomica/malagawpseries/Papers/METCwp2009-2.pdf
File Function: First version, 2009
Download Restriction: no

File URL: http://webdeptos.uma.es/THEconomica/malagawpseries/Papers/METCwp2009-6.pdf
File Function: Revised version, 2010
Download Restriction: no

Paper provided by Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center in its series Working Papers with number 2009-2.

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Length: 32 pages
Date of creation: Jun 2009
Date of revision:
Handle: RePEc:mal:wpaper:2009-2
Contact details of provider: Postal: Plaza del Ejido s/n 29071, Málaga
Phone: 952131196
Fax: 952131199
Web page: http://webdeptos.uma.es/THEconomica/malagawpseries/METC.html
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  1. Maskin, Eric, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Wiley Blackwell, vol. 66(1), pages 23-38, January.
  2. Asher Wolinsky, 1999. "Eliciting Information From Multiple Experts," Discussion Papers 1277, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  3. Timothy Feddersen & Wolfgang Pesendorfer, 1994. "Voting Behavior and Information Aggregation in Elections with Private Information," Discussion Papers 1117, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  4. 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.
  5. 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.
  6. John Duggan & Cesar Martinelli, 1998. "A Bayesian Model of Voting in Juries," Wallis Working Papers WP14, University of Rochester - Wallis Institute of Political Economy.
  7. Cesar Martinelli, 2000. "Convergence Results for Unanimous Voting," Working Papers 0005, Centro de Investigacion Economica, ITAM.
  8. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
  9. Danilov, Vladimir, 1992. "Implementation via Nash Equilibria," Econometrica, Econometric Society, vol. 60(1), pages 43-56, January.
  10. 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.
  11. Amoros, Pablo & Corchon, Luis C. & Moreno, Bernardo, 2002. "The Scholarship Assignment Problem," Games and Economic Behavior, Elsevier, vol. 38(1), pages 1-18, January.
  12. Yamato, Takehiko, 1992. "On nash implementation of social choice correspondences," Games and Economic Behavior, Elsevier, vol. 4(3), pages 484-492, July.
  13. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September.
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