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Partially Honest Nash Implementation: A Full Characterization

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  • Lombardi, Michele
  • Yoshihara, Naoki

Abstract

Given the framework introduced by Dutta and Sen (2012), this paper offers a comprehensive analysis of (Nash) implementation with partially honest agents when there are three or more participants. First, it establishes a condition which is necessary and sufficient for implementation. Second, it provides simple tests for checking whether or not a social choice correspondence can be implemented. Their usefulness is shown by examining implementation in a wide variety of environments.

Suggested Citation

  • Lombardi, Michele & Yoshihara, Naoki, 2013. "Partially Honest Nash Implementation: A Full Characterization," Discussion Paper Series 590, Institute of Economic Research, Hitotsubashi University.
    • Handle: RePEc:hit:hituec:590
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    Cited by:

    1. Núñez, Matías & Laslier, Jean-François, 2015. "Bargaining through Approval," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 63-73.
    2. Matsushima, Hitoshi, 2022. "Epistemological implementation of social choice functions," Games and Economic Behavior, Elsevier, vol. 136(C), pages 389-402.
    3. Lombardi, M. & Yoshihara, N., 2018. "Treading a fine line: (Im)possibilities for Nash implementation with partially-honest individuals," Games and Economic Behavior, Elsevier, vol. 111(C), pages 203-216.
    4. Savva, Foivos, 2018. "Strong implementation with partially honest individuals," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 27-34.
    5. 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.
    6. Altun, Ozan Altuğ & Barlo, Mehmet & Dalkıran, Nuh Aygün, 2023. "Implementation with a sympathizer," Mathematical Social Sciences, Elsevier, vol. 121(C), pages 36-49.
    7. Mukherjee, Saptarshi & Muto, Nozomu & Ramaekers, Eve, 2017. "Implementation in undominated strategies with partially honest agents," Games and Economic Behavior, Elsevier, vol. 104(C), pages 613-631.
    8. Zhiwei Liu & Nicholas C. Yannelis, 2021. "Persuasion in an asymmetric information economy: a justification of Wald’s maxmin preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(3), pages 801-833, October.
    9. Guo, Huiyi & Yannelis, Nicholas C., 2022. "Robust coalitional implementation," Games and Economic Behavior, Elsevier, vol. 132(C), pages 553-575.
    10. Diss, Mostapha & Doghmi, Ahmed & Tlidi, Abdelmonaim, 2015. "Strategy proofness and unanimity in private good economies with single-peaked preferences," MPRA Paper 75469, University Library of Munich, Germany, revised 06 Dec 2016.
    11. 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.
    12. Zhiwei Liu & Nicholas C. Yannelis, 2022. "Mixed strategy implementation under ambiguity," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 167-181, May.
    13. Malachy James Gavan & Antonio Penta, 2022. "Safe Implementation," Working Papers 1363, Barcelona School of Economics.
    14. Doghmi, Ahmed, 2011. "A Simple Necessary Condition for Partially Honest Nash Implementation," MPRA Paper 67231, University Library of Munich, Germany, revised 14 Oct 2015.
    15. Michele Lombardi & Naoki Yoshihara, 2017. "Treading a Â…fine line: (Im)possibilities for Nash implementation with partially-honest individuals," Working Papers SDES-2017-14, Kochi University of Technology, School of Economics and Management, revised Aug 2017.
    16. Lombardi, Michele & Yoshihara, Naoki, 2013. "Natural Implementation with Partially Honest Agents in Economic Environments," Discussion Paper Series 592, Institute of Economic Research, Hitotsubashi University.
    17. Gavan, Malachy James & Penta, Antonio, 2022. "Safe Implementation," TSE Working Papers 22-1369, Toulouse School of Economics (TSE).
    18. Savva, Foivos, 2021. "Motives and implementation with rights structures," Economics Letters, Elsevier, vol. 204(C).
    19. Hagiwara, Makoto, 2018. "A simple mechanism for double implementation with semi-socially-responsible agents," Economics Letters, Elsevier, vol. 171(C), pages 51-53.

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    More about this item

    Keywords

    Implementation; Nash equilibrium; social choice correspondences; partial honesty; Condition μ;
    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

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