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Integrating the Nash program into mechanism theory

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Author Info
Walter Trockel () (Institute of Mathematical Economics , Bielefeld University, Universitätsstrasse 25, 33615 Bielefeld, Germany)

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Abstract

The present paper provides a method by which the Nash Program may be embedded into mechanism theory. It is shown that any result stating the support of any solution of a cooperative game in coalitional form by a Nash equilibrium of some suitable game in strategic form can be used to derive the mechanism theoretic Nash-implementation of that solution.

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Publisher Info
Article provided by Springer in its journal Review of Economic Design.

Volume (Year): 7 (2002)
Issue (Month): 1 ()
Pages: 27-43
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Handle: RePEc:spr:reecde:v:7:y:2002:i:1:p:27-43

Note: Received: 29 June 1999 / Accepted: 3 April 2002
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Related research
Keywords: Cooperative game theory; non-cooperative game theory; mechanism theory; Nash program; mechanism; implementation;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Serrano, Roberto, 1997. "A comment on the Nash program and the theory of implementation," Economics Letters, Elsevier, vol. 55(2), pages 203-208, August. [Downloadable!] (restricted)
    Other versions:
  2. Trockel, Walter, 1996. "An Exact Implementation of the Nash Bargaining Solution in Dominant Strategies," Economics Series 25, Institute for Advanced Studies. [Downloadable!]
  3. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401.
    Other versions:
  4. Leonid Hurwicz, 1994. "Economic design, adjustment processes, mechanisms, and institutions," Review of Economic Design, Springer, vol. 1(1), pages 1-14, December. [Downloadable!] (restricted)
  5. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January. [Downloadable!] (restricted)
  6. Jackson, Matthew O, 1992. "Implementation in Undominated.Strategies: A Look at Bounded Mechanisms," Review of Economic Studies, Blackwell Publishing, vol. 59(4), pages 757-75, October. [Downloadable!] (restricted)
    Other versions:
  7. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April. [Downloadable!] (restricted)
  8. Dagan, Nir & Serrano, Roberto, 1998. "Invariance and randomness in the Nash program for coalitional games," Economics Letters, Elsevier, vol. 58(1), pages 43-49, January. [Downloadable!] (restricted)
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  9. Eric van Damme, 1984. "The Nash Bargaining Solution is Optimal," Discussion Papers 597, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  10. Howard, J. V., 1992. "A social choice rule and its implementation in perfect equilibrium," Journal of Economic Theory, Elsevier, vol. 56(1), pages 142-159, February. [Downloadable!] (restricted)
  11. R. H. Parker, Y. Lemarchand, T. Boyns, 1997. "Introduction," Accounting, Business and Financial History, Taylor and Francis Journals, vol. 7(3), pages 251-257, November. [Downloadable!] (restricted)
  12. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer. [Downloadable!] (restricted)
  13. Moulin, H., 1984. "Implementing the Kalai-Smorodinsky bargaining solution," Journal of Economic Theory, Elsevier, vol. 33(1), pages 32-45, June. [Downloadable!] (restricted)
  14. Naeve, Jorg, 1999. "Nash implementation of the Nash bargaining solution using intuitive message spaces," Economics Letters, Elsevier, vol. 62(1), pages 23-28, January. [Downloadable!] (restricted)
  15. Bergin, James & Duggan, John, 1999. "An Implementation-Theoretic Approach to Non-cooperative Foundations," Journal of Economic Theory, Elsevier, vol. 86(1), pages 50-76, May. [Downloadable!] (restricted)
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  16. Trockel, Walter, 1996. "A Walrasian approach to bargaining games," Economics Letters, Elsevier, vol. 51(3), pages 295-301, June. [Downloadable!] (restricted)
  17. Kim C. Border & Uzi Segal, 1997. "Preferences over Solutions to the Bargaining Problem," Econometrica, Econometric Society, vol. 65(1), pages 1-18, January.
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  18. Damme, Eric van, 1986. "The Nash bargaining solution is optimal," Journal of Economic Theory, Elsevier, vol. 38(1), pages 78-100, February. [Downloadable!] (restricted)
  19. Trockel,W., 1999. "Unique Nash implementation for a class of bargaining solutions," Working Papers 308, Bielefeld University, Institute of Mathematical Economics. [Downloadable!]
  20. Maskin, Eric, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Blackwell Publishing, vol. 66(1), pages 23-38, January. [Downloadable!] (restricted)
    Other versions:
  21. 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. [Downloadable!] (restricted)
    Other versions:
  22. Krishna, Vijay & Serrano, Roberto, 1996. "Multilateral Bargaining," Review of Economic Studies, Blackwell Publishing, vol. 63(1), pages 61-80, January. [Downloadable!] (restricted)
  23. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics. [Downloadable!]
  24. E. Maskin, 1983. "The Theory of Implementation in Nash Equilibrium: A Survey," Working papers 333, Massachusetts Institute of Technology (MIT), Department of Economics.
  25. Jackson, Matthew O. & Palfrey, Thomas R., 2001. "Voluntary Implementation," Journal of Economic Theory, Elsevier, vol. 98(1), pages 1-25, May. [Downloadable!] (restricted)
    Other versions:
    • Jackson, Matthew O. & Palfrey, Thomas R., 1999. "Voluntary Implementation," Working Papers 1077, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Roberto Serrano, 2004. "Fifty Years of the Nash Program, 1953-2003," Working Papers 2004-20, Brown University, Department of Economics. [Downloadable!]
    Other versions:
  2. Hannu Vartiainen, 2007. "Nash implementation and the bargaining problem," Social Choice and Welfare, Springer, vol. 29(2), pages 333-351, September. [Downloadable!] (restricted)
  3. Walter Trockel, 1999. "On the Nash Program for the Nash Bargaining Solution," UCLA Economics Working Papers 788, UCLA Department of Economics. [Downloadable!]
    Other versions:
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