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Double implementation in Nash and M-Nash equilibria

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  • Yi, Jianxin

Abstract

In this paper, we give a sufficient condition for double implementation in Nash and M-Nash equilibria. Furthermore, we discuss the mechanism with transfers and prove that some important social choice rules are doubly implemented in Nash and M-Nash equilibria by the mechanism with transfers.

Suggested Citation

  • Yi, Jianxin, 2012. "Double implementation in Nash and M-Nash equilibria," Economics Letters, Elsevier, vol. 116(1), pages 105-107.
  • Handle: RePEc:eee:ecolet:v:116:y:2012:i:1:p:105-107
    DOI: 10.1016/j.econlet.2012.01.021
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    References listed on IDEAS

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    1. Dutta, Bhaskar & Sen, Arunava, 1991. "Implementation under strong equilibrium : A complete characterization," Journal of Mathematical Economics, Elsevier, vol. 20(1), pages 49-67.
    2. Suh, Sang-Chul, 1996. "Implementation with coalition formation: A complete characterization," Journal of Mathematical Economics, Elsevier, vol. 26(4), pages 409-428.
    3. Tomas Sjöstrω, 1996. "Credibility And Renegotiation Of Outcome Functions In Implementation," The Japanese Economic Review, Japanese Economic Association, vol. 47(2), pages 157-169, June.
    4. Yi, Jianxin, 2011. "Implementation via mechanisms with transfers," Mathematical Social Sciences, Elsevier, vol. 61(1), pages 65-70, January.
    5. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 23-38.
    6. Schmeidler, David, 1980. "Walrasian Analysis via Strategic Outcome Functions," Econometrica, Econometric Society, vol. 48(7), pages 1585-1593, November.
    7. Sang-Chul Suh, 1996. "An algorithm for checking strong Nash implementability," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 109-122.
    8. Sang-Chul Suh, 1997. "Double implementation in Nash and strong Nash equilibria," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(3), pages 439-447.
    9. Peter Fristrup & Hans Keiding, 2001. "Strongly implementable social choice correspondences and the supernucleus," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(2), pages 213-226.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Nash implementation; M-Nash implementation; Double implementation; Mechanism with transfers;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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