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Double implementation without no-veto-power

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  • Hagiwara, Makoto

Abstract

We consider the implementation problem with at least three agents. We study double implementability of social choice correspondences in Nash equilibria and undominated Nash equilibria. We prove that “DZ-invariance,” “weak no-veto-power,” and “unanimity” together are sufficient for double implementability. If there is at least one partially honest agent in the sense of Dutta and Sen (2012), then weak no-veto-power and unanimity together are sufficient for double implementability. If there are at least two partially honest agents, then unanimity is sufficient for double implementability. In addition, we show that if there is at least one partially honest agent and unanimity is satisfied, then “LY-condition” is necessary and sufficient for double implementability. From these results, we obtain several positive corollaries.

Suggested Citation

  • Hagiwara, Makoto, 2019. "Double implementation without no-veto-power," Mathematical Social Sciences, Elsevier, vol. 101(C), pages 124-130.
    • Handle: RePEc:eee:matsoc:v:101:y:2019:i:c:p:124-130
    DOI: 10.1016/j.mathsocsci.2019.08.002
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    1. William Thomson, 2010. "Implementation of solutions to the problem of fair division when preferences are single-peaked," Review of Economic Design, Springer;Society for Economic Design, vol. 14(1), pages 1-15, March.
    2. Dutta, Bhaskar & Sen, Arunava, 2012. "Nash implementation with partially honest individuals," Games and Economic Behavior, Elsevier, vol. 74(1), pages 154-169.
    3. Yamato, Takehiko, 1999. "Nash implementation and double implementation: equivalence theorems1," Journal of Mathematical Economics, Elsevier, vol. 31(2), pages 215-238, March.
    4. ,, 2004. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 20(2), pages 427-429, April.
    5. Ehlers, Lars, 2004. "Monotonic and implementable solutions in generalized matching problems," Journal of Economic Theory, Elsevier, vol. 114(2), pages 358-369, February.
    6. Doghmi, Ahmed & Ziad, Abderrahmane, 2015. "Nash implementation in private good economies with single-plateaued preferences and in matching problems," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 32-39.
    7. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
    8. 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.
    9. Kartik, Navin & Tercieux, Olivier & Holden, Richard, 2014. "Simple mechanisms and preferences for honesty," Games and Economic Behavior, Elsevier, vol. 83(C), pages 284-290.
    10. Doghmi, Ahmed & Ziad, Abderrahmane, 2008. "Reexamination of Maskin's Theorem on Nash implementability," Economics Letters, Elsevier, vol. 100(1), pages 150-152, July.
    11. Savva, Foivos, 2018. "Strong implementation with partially honest individuals," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 27-34.
    12. , & ,, 2012. "Implementation with evidence," Theoretical Economics, Econometric Society, vol. 7(2), May.
    13. Doghmi Ahmed & Ziad Abderrahmane, 2013. "On Partially Honest Nash Implementation in Private Good Economies with Restricted Domains: A Sufficient Condition," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 13(1), pages 415-428, September.
    14. repec:hal:pseose:halshs-00943301 is not listed on IDEAS
    15. 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.
    16. 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.
    17. Sonmez, Tayfun, 1996. "Implementation in generalized matching problems," Journal of Mathematical Economics, Elsevier, vol. 26(4), pages 429-439.
    18. 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.
    19. 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.
    20. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    21. 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.
    22. ,, 2004. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 20(1), pages 223-229, February.
    23. William Thomson, 2018. "On the terminology of economic design: a critical assessment and some proposals," Review of Economic Design, Springer;Society for Economic Design, vol. 22(1), pages 67-99, June.
    24. Luis Corchón & Carmen Herrero, 2004. "A decent proposal," Spanish Economic Review, Springer;Spanish Economic Association, vol. 6(2), pages 107-125, July.
    25. Doghmi, Ahmed & Ziad, Abderrahmane, 2008. "Nash implementation in exchange economies with single-peaked preferences," Economics Letters, Elsevier, vol. 100(1), pages 157-160, July.
    26. repec:hal:pseose:halshs-00754592 is not listed on IDEAS
    27. Doghmi Ahmed, 2016. "On Nash Implementability in Allotment Economies under Domain Restrictions with Indifference," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 16(2), pages 767-795, June.
    28. 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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