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Integrating the Nash program into mechanism theory

  • Walter Trockel

    ()

    (Institute of Mathematical Economics , Bielefeld University, Universitätsstrasse 25, 33615 Bielefeld, Germany)

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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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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  1. van Damme, E.E.C., 1986. "The Nash bargaining solution is optimal," Other publications TiSEM b408f4e4-5094-48a1-a02f-5, Tilburg University, School of Economics and Management.
  2. Trockel,W., 1999. "A universal meta bargaining realization of the Nash solution," Working Papers 310, Bielefeld University, Center for Mathematical Economics.
  3. Nir Dagan & Roberto Serrano, 1998. "Invariance and Randomness in the Nash Program for Coalitional Games," Economic theory and game theory 006, Nir Dagan.
  4. Krishna, Vijay & Serrano, Roberto, 1996. "Multilateral Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 63(1), pages 61-80, January.
  5. Moulin, H., 1984. "Implementing the Kalai-Smorodinsky bargaining solution," Journal of Economic Theory, Elsevier, vol. 33(1), pages 32-45, June.
  6. Maskin, Eric, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Wiley Blackwell, vol. 66(1), pages 23-38, January.
  7. E. Maskin, 1983. "The Theory of Implementation in Nash Equilibrium: A Survey," Working papers 333, Massachusetts Institute of Technology (MIT), Department of Economics.
  8. Border, K.C. & Segal, U., 1995. "Preferences Over Solutions to the Margaining Probem," UWO Department of Economics Working Papers 9518, University of Western Ontario, Department of Economics.
  9. Walter Trockel, 2000. "Implementations of the Nash solution based on its Walrasian characterization," Economic Theory, Springer, vol. 16(2), pages 277-294.
  10. Jackson, Matthew O, 1992. "Implementation in Undominated.Strategies: A Look at Bounded Mechanisms," Review of Economic Studies, Wiley Blackwell, vol. 59(4), pages 757-75, October.
  11. Jackson, Matthew O. & Palfrey, Thomas R., 1999. "Voluntary Implementation," Working Papers 1077, California Institute of Technology, Division of the Humanities and Social Sciences.
  12. Serrano, Roberto, 1997. "A comment on the Nash program and the theory of implementation," Economics Letters, Elsevier, vol. 55(2), pages 203-208, August.
  13. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, June.
  14. Leonid Hurwicz, 1994. "Economic design, adjustment processes, mechanisms, and institutions," Review of Economic Design, Springer, vol. 1(1), pages 1-14, December.
  15. Border, Kim C. & Segal, Uzi, 1995. "Preferences Over Solution to the Bargaining Problem," Working Papers 923, California Institute of Technology, Division of the Humanities and Social Sciences.
  16. Trockel,W., 1999. "Unique Nash implementation for a class of bargaining solutions," Working Papers 308, Bielefeld University, Center for Mathematical Economics.
  17. 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.
  18. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 661465000000000387, David K. Levine.
  19. Trockel, Walter, 1996. "An Exact Implementation of the Nash Bargaining Solution in Dominant Strategies," Economics Series 25, Institute for Advanced Studies.
  20. Matthew, Jackson O. & Palfrey, Thomas R. & Srivastava, Sanjay., 1990. "Undominated Nash Implementation in Bounded Mechanism," Working Papers 754, California Institute of Technology, Division of the Humanities and Social Sciences.
  21. Naeve, Jorg, 1999. "Nash implementation of the Nash bargaining solution using intuitive message spaces," Economics Letters, Elsevier, vol. 62(1), pages 23-28, January.
  22. Damme, Eric van, 1986. "The Nash bargaining solution is optimal," Journal of Economic Theory, Elsevier, vol. 38(1), pages 78-100, February.
  23. 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.
  24. Trockel, Walter, 1996. "A Walrasian approach to bargaining games," Economics Letters, Elsevier, vol. 51(3), pages 295-301, June.
  25. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
  26. Claus-Jochen Haake, 1998. "Implementation of the Kalai-Smorodinsky Bargaining Solution in Dominant Strategies," Working Papers 301, Bielefeld University, Center for Mathematical Economics.
  27. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
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