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A natural mechanism for eliciting rankings when jurors have favorites

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  • Adachi, Tsuyoshi

Abstract

We analyze the problem of a jury that must rank a set of contestants whose socially optimal ranking is common knowledge among jurors who may have friends among the contestants and may, therefore, be biased in their friends' favor. We show a natural mechanism that is finite and complete informational, with no simultaneous moves (i.e., it is solvable by backward induction), which implements the socially optimal ranking with subgame perfect equilibria.

Suggested Citation

  • Adachi, Tsuyoshi, 2014. "A natural mechanism for eliciting rankings when jurors have favorites," Games and Economic Behavior, Elsevier, vol. 87(C), pages 508-518.
    • Handle: RePEc:eee:gamebe:v:87:y:2014:i:c:p:508-518
    DOI: 10.1016/j.geb.2014.07.003
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    References listed on IDEAS

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    1. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September.
    2. Glazer, Jacob & Perry, Motty, 1996. "Virtual Implementation in Backwards Induction," Games and Economic Behavior, Elsevier, vol. 15(1), pages 27-32, July.
    3. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
    4. Jackson Matthew O. & Palfrey Thomas R. & Srivastava Sanjay, 1994. "Undominated Nash Implementation in Bounded Mechanisms," Games and Economic Behavior, Elsevier, vol. 6(3), pages 474-501, May.
    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. Amoros, Pablo & Corchon, Luis C. & Moreno, Bernardo, 2002. "The Scholarship Assignment Problem," Games and Economic Behavior, Elsevier, vol. 38(1), pages 1-18, January.
    7. Sjostrom Tomas, 1994. "Implementation in Undominated Nash Equilibria without Integer Games," Games and Economic Behavior, Elsevier, vol. 6(3), pages 502-511, May.
    8. Moore, John & Repullo, Rafael, 1990. "Nash Implementation: A Full Characterization," Econometrica, Econometric Society, vol. 58(5), pages 1083-1099, September.
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    Cited by:

    1. Amorós, Pablo, 2023. "Implementing optimal scholarship assignments via backward induction," Mathematical Social Sciences, Elsevier, vol. 125(C), pages 1-10.
    2. Amorós, Pablo, 2016. "Subgame perfect implementation of the deserving winner of a competition with natural mechanisms," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 44-57.
    3. Ascensión Andina Díaz & José A. García-Martínez, 2015. "A theory of media self-silence," Working Papers 2015-05, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
    4. 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.
    5. 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.

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    More about this item

    Keywords

    Implementation theory; Backward induction; Subgame perfect 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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