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Choosing the winner of a competition using natural mechanisms: Conditions based on the jury

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  • Amorós, Pablo

Abstract

A possibly partial jury has to choose the winner of a competition. A deserving winner exists and her identity is common knowledge among the jurors, but it is not known by the planner. Jurors may be biased in favor (friend) or against (enemy) some contestants. We study the conditions based on the configuration of the jury such that it is possible to implement the deserving winner in Nash equilibrium when we restrict ourselves to mechanisms that satisfy two conditions: (1) each juror only has to announce the contestant she thinks should win the competition, and (2) announcing the deserving winner is always an equilibrium. We refer to this notion as natural implementation. We show that knowledge of jurors’ friends or jurors’ enemies may help to naturally implement the deserving winner. In particular, our results suggest that knowledge of jurors’ friends may be more useful to the planner than knowledge of jurors’ enemies in terms of facilitating natural implementation.

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  • Amorós, Pablo, 2019. "Choosing the winner of a competition using natural mechanisms: Conditions based on the jury," Mathematical Social Sciences, Elsevier, vol. 98(C), pages 26-38.
    • Handle: RePEc:eee:matsoc:v:98:y:2019:i:c:p:26-38
    DOI: 10.1016/j.mathsocsci.2019.02.001
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    References listed on IDEAS

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    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. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 23-38.
    4. Matthew O. Jackson, 1992. "Implementation in Undominated Strategies: A Look at Bounded Mechanisms," Review of Economic Studies, Oxford University Press, vol. 59(4), pages 757-775.
    5. Danilov, Vladimir, 1992. "Implementation via Nash Equilibria," Econometrica, Econometric Society, vol. 60(1), pages 43-56, January.
    6. Adachi, Tsuyoshi, 2014. "A natural mechanism for eliciting rankings when jurors have favorites," Games and Economic Behavior, Elsevier, vol. 87(C), pages 508-518.
    7. 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.
    8. Saijo, Tatsuyoshi & Tatamitani, Yoshikatsu & Yamato, Takehiko, 1996. "Toward Natural Implementation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 949-980, November.
    9. Ron Holzman & Hervé Moulin, 2013. "Impartial Nominations for a Prize," Econometrica, Econometric Society, vol. 81(1), pages 173-196, January.
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