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A simple mechanism for double implementation with semi-socially-responsible agents

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  • Hagiwara, Makoto

Abstract

We study double implementation of social choice functions in Nash equilibria and undominated Nash equilibria. We show that if there are at least three agents and each agent is “semi-socially-responsible” with respect to a “unanimous” social choice function, then a simple mechanism doubly implements this social choice function.

Suggested Citation

  • Hagiwara, Makoto, 2018. "A simple mechanism for double implementation with semi-socially-responsible agents," Economics Letters, Elsevier, vol. 171(C), pages 51-53.
    • Handle: RePEc:eee:ecolet:v:171:y:2018:i:c:p:51-53
    DOI: 10.1016/j.econlet.2018.07.008
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    References listed on IDEAS

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    1. Katok, Elena & Sefton, Martin & Yavas, Abdullah, 2002. "Implementation by Iterative Dominance and Backward Induction: An Experimental Comparison," Journal of Economic Theory, Elsevier, vol. 104(1), pages 89-103, May.
    2. Dutta, Bhaskar & Sen, Arunava, 2012. "Nash implementation with partially honest individuals," Games and Economic Behavior, Elsevier, vol. 74(1), pages 154-169.
    3. Kartik, Navin & Tercieux, Olivier & Holden, Richard, 2014. "Simple mechanisms and preferences for honesty," Games and Economic Behavior, Elsevier, vol. 83(C), pages 284-290.
    4. Yamato, Takehiko, 1999. "Nash implementation and double implementation: equivalence theorems1," Journal of Mathematical Economics, Elsevier, vol. 31(2), pages 215-238, March.
    5. repec:hal:pseose:halshs-00943301 is not listed on IDEAS
    6. Michele Lombardi & Naoki Yoshihara, 2020. "Partially-honest Nash implementation: a full characterization," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 871-904, October.
    7. Tatamitani, Yoshikatsu, 1993. "Double Implementation in Nash and Undominated Nash Equilibria in Social Choice Environments," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(1), pages 109-117, January.
    8. Michele Lombardi & Naoki Yoshihara, 2017. "Natural implementation with semi-responsible agents in pure exchange economies," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 1015-1036, November.
    9. 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.
    10. Cason, Timothy N. & Saijo, Tatsuyoshi & Sjostrom, Tomas & Yamato, Takehiko, 2006. "Secure implementation experiments: Do strategy-proof mechanisms really work?," Games and Economic Behavior, Elsevier, vol. 57(2), pages 206-235, November.
    11. 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.
    12. 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.
    13. , & ,, 2012. "Implementation with evidence," Theoretical Economics, Econometric Society, vol. 7(2), May.
    14. 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.
    15. Makoto Hagiwara & Hirofumi Yamamura & Takehiko Yamato, 2018. "Implementation with socially responsible agents," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(1), pages 55-62, April.
    16. repec:hal:pseose:halshs-00754592 is not listed on IDEAS
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    Cited by:

    1. Hagiwara, Makoto, 2019. "Double implementation without no-veto-power," Mathematical Social Sciences, Elsevier, vol. 101(C), pages 124-130.
    2. Savva, Foivos, 2021. "Motives and implementation with rights structures," Economics Letters, Elsevier, vol. 204(C).

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    More about this item

    Keywords

    Simple mechanism; Double implementation; Semi-social-responsibility; Unanimity;
    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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