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Selecting winners with partially honest jurors

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  • Yadav, Sonal

Abstract

We consider the effect of “partially honest” jurors (along the lines of Dutta and Sen (2012)) in a model of juror decisions developed in Amorós (2013). We analyse the problem of choosing the w contestants who will win a competition within a group of n>w competitors. All jurors know who the w best contestants are. All the jurors commonly observe who the w best contestants are, but they may be biased (in favour of or against some contestants). We assume that some of these jurors are partially honest. A partially honest individual has a strict preference for revealing the true state over lying when truth-telling does not lead to a worse outcome (according to preferences in the true state) than that which obtains when lying. The socially optimal rule is to always select the w best contestants, in every possible state of the world. We first look at the many person implementation, when the jury consists of at least two partially honest jurors, whose identity is not known to the planner. We find that the socially optimal rule is Nash implementable if for each pair of contestants, there are two jurors who treat the pair in an unbiased manner and one of these jurors is partially honest. However it is not necessary for the planner to know the identity of the jurors who are fair over a given pair. The result shows that the presence of partially honest jurors expands the scope of implementation. We also analyse the problem, when there are only two jurors and consider cases both with and without the assumption of partial honesty.

Suggested Citation

  • Yadav, Sonal, 2016. "Selecting winners with partially honest jurors," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 35-43.
    • Handle: RePEc:eee:matsoc:v:83:y:2016:i:c:p:35-43
    DOI: 10.1016/j.mathsocsci.2016.05.005
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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. , & ,, 2012. "Implementation with evidence," Theoretical Economics, Econometric Society, vol. 7(2), May.
    4. Lombardi, Michele, 2010. "Two-agent Nash implementation with partially-honest agents: Almost Full Characterizations," MPRA Paper 27834, University Library of Munich, Germany.
    5. Bhaskar Dutta & Arunava Sen, 1991. "A Necessary and Sufficient Condition for Two-Person Nash Implementation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(1), pages 121-128.
    6. Francesca Busetto & Giulio Codognato, 2009. "Reconsidering two-agent Nash implementation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(2), pages 171-179, February.
    7. Amoros, Pablo & Corchon, Luis C. & Moreno, Bernardo, 2002. "The Scholarship Assignment Problem," Games and Economic Behavior, Elsevier, vol. 38(1), pages 1-18, January.
    8. Lombardi, Michele & Yoshihara, Naoki & 吉原, 直毅, 2011. "Partially-honest Nash implementation: Characterization results," CCES Discussion Paper Series 43, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
    9. 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, 2023. "Evaluation and strategic manipulation," Journal of Mathematical Economics, Elsevier, vol. 106(C).
    3. Hitoshi Matsushima, 2020. "Implementation, Honesty, and Common Knowledge," CARF F-Series CARF-F-500, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    4. Matsushima, Hitoshi, 2022. "Epistemological implementation of social choice functions," Games and Economic Behavior, Elsevier, vol. 136(C), pages 389-402.
    5. Altun, Ozan Altuğ & Barlo, Mehmet & Dalkıran, Nuh Aygün, 2023. "Implementation with a sympathizer," Mathematical Social Sciences, Elsevier, vol. 121(C), pages 36-49.

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