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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.

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File URL: http://www.sciencedirect.com/science/article/pii/S0165176512000377
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Bibliographic Info

Article provided by Elsevier in its journal Economics Letters.

Volume (Year): 116 (2012)
Issue (Month): 1 ()
Pages: 105-107

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Handle: RePEc:eee:ecolet:v:116:y:2012:i:1:p:105-107

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Web page: http://www.elsevier.com/locate/ecolet

Related research

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

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References

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  1. Tomas Sjöstrω, 1996. "Credibility And Renegotiation Of Outcome Functions In Implementation," The Japanese Economic Review, Japanese Economic Association, vol. 47(2), pages 157-169, 06.
  2. Sang-Chul Suh, 1996. "An algorithm for checking strong Nash implementability," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 109-122.
  3. Suh, Sang-Chul, 1996. "Implementation with coalition formation: A complete characterization," Journal of Mathematical Economics, Elsevier, vol. 26(4), pages 409-428.
  4. Maskin, Eric, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Wiley Blackwell, vol. 66(1), pages 23-38, January.
  5. Dutta, Bhaskar & Sen, Arunava, 1991. "Implementation under strong equilibrium : A complete characterization," Journal of Mathematical Economics, Elsevier, vol. 20(1), pages 49-67.
  6. Yi, Jianxin, 2011. "Implementation via mechanisms with transfers," Mathematical Social Sciences, Elsevier, vol. 61(1), pages 65-70, January.
  7. Schmeidler, David, 1980. "Walrasian Analysis via Strategic Outcome Functions," Econometrica, Econometric Society, vol. 48(7), pages 1585-93, November.
  8. Sang-Chul Suh, 1997. "Double implementation in Nash and strong Nash equilibria," Social Choice and Welfare, Springer, 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, vol. 18(2), pages 213-226.
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