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Conditions on the jury for the natural implementation of the deserving winner of a contest

Author

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  • Pablo Amorós

    (Department of Economic Theory, Universidad de Málaga)

Abstract

A jury has to choose the winner of a contest. There exists a deserving winner, whose identity is common knowledge among the jurors, but not known by the planner. Jurors may be biased in favor (friend) or against (enemy) some contestants. We study conditions on the confi?guration of the jury so that it is possible to implement the deserving winner in Nash equilibrium when we restrict ourselves to mechanisms satisfying two conditions: (1) each juror only has to announce a contestant, and (2) announcing the deserving winner is an equilibrium. We call this notion natural implementation. We show that, in order to naturally implement the deserving winner, the planner needs to know a number of jurors with friends or a number of jurors with enemies. Speci?cally, the number of jurors with friends that the planner needs to know to naturally implement the deserving winner is less than the number of jurors with enemies that the planner would need to know for it.

Suggested Citation

  • Pablo Amorós, 2014. "Conditions on the jury for the natural implementation of the deserving winner of a contest," Working Papers 2014-01, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
    • Handle: RePEc:mal:wpaper:2014-1
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    File URL: https://theeconomics.uma.es/malagawpseries/Papers/METCwp2014-1.pdf
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    References listed on IDEAS

    as
    1. Dutta, Bhaskar & Sen, Arunava, 2012. "Nash implementation with partially honest individuals," Games and Economic Behavior, Elsevier, vol. 74(1), pages 154-169.
    2. Matsushima, Hitoshi, 2008. "Role of honesty in full implementation," Journal of Economic Theory, Elsevier, vol. 139(1), pages 353-359, March.
    3. Adachi, Tsuyoshi, 2014. "A natural mechanism for eliciting rankings when jurors have favorites," Games and Economic Behavior, Elsevier, vol. 87(C), pages 508-518.
    4. Amoros, Pablo & Corchon, Luis C. & Moreno, Bernardo, 2002. "The Scholarship Assignment Problem," Games and Economic Behavior, Elsevier, vol. 38(1), pages 1-18, January.
    5. Matthew O. Jackson, 1992. "Implementation in Undominated Strategies: A Look at Bounded Mechanisms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(4), pages 757-775.
    6. Anna Moskalenko, 2015. "A mechanism to pick the deserving winner," Economics Bulletin, AccessEcon, vol. 35(3), pages 1543-1549.
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    8. Yew-Kwang Ng & Guang-Zhen Sun & Guang-Zhen Sun, 2003. "Exclusion of self evaluations in peer ratings: An impossibility and some proposals," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(3), pages 443-456, June.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Mechanism design; contests; jury; Nash equilibrium;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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