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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. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
  2. Trockel,W., 1999. "A universal meta bargaining realization of the Nash solution," Center for Mathematical Economics Working Papers 310, Center for Mathematical Economics, Bielefeld University.
  3. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 661465000000000387, David K. Levine.
  4. 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.
  5. Trockel, Walter, 1996. "A Walrasian approach to bargaining games," Economics Letters, Elsevier, vol. 51(3), pages 295-301, June.
  6. Nir Dagan & Roberto Serrano, 1998. "Invariance and Randomness in the Nash Program for Coalitional Games," Economic theory and game theory 006, Nir Dagan.
  7. Claus-Jochen Haake, 1998. "Implementation of the Kalai-Smorodinsky Bargaining Solution in Dominant Strategies," Center for Mathematical Economics Working Papers 301, Center for Mathematical Economics, Bielefeld University.
  8. Matthew O. Jackson, 1990. "Undominated Nash Implementation in Bounded Mechanisms," Discussion Papers 966, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  9. Serrano, Roberto, 1997. "A comment on the Nash program and the theory of implementation," Economics Letters, Elsevier, vol. 55(2), pages 203-208, August.
  10. Damme, Eric van, 1986. "The Nash bargaining solution is optimal," Journal of Economic Theory, Elsevier, vol. 38(1), pages 78-100, February.
  11. Walter Trockel, 1995. "An Exact Implementation of the Nash Bargaining Solution in Dominant Strategies," Center for Mathematical Economics Working Papers 245, Center for Mathematical Economics, Bielefeld University.
  12. 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.
  13. 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.
  14. 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.
  15. Martin J Osborne & Ariel Rubinstein, 2009. "A Course in Game Theory," Levine's Bibliography 814577000000000225, UCLA Department of Economics.
  16. Naeve, Jorg, 1999. "Nash implementation of the Nash bargaining solution using intuitive message spaces," Economics Letters, Elsevier, vol. 62(1), pages 23-28, January.
  17. Trockel,W., 1999. "Unique Nash implementation for a class of bargaining solutions," Center for Mathematical Economics Working Papers 308, Center for Mathematical Economics, Bielefeld University.
  18. Eric van Damme, 1984. "The Nash Bargaining Solution is Optimal," Discussion Papers 597, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  19. Maskin, Eric, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Wiley Blackwell, vol. 66(1), pages 23-38, January.
  20. Jackson, Matthew O. & Palfrey, Thomas R., 2001. "Voluntary Implementation," Journal of Economic Theory, Elsevier, vol. 98(1), pages 1-25, May.
  21. 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.
  22. Walter Trockel, 2000. "Implementations of the Nash solution based on its Walrasian characterization," Economic Theory, Springer, vol. 16(2), pages 277-294.
  23. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
  24. Krishna, Vijay & Serrano, Roberto, 1996. "Multilateral Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 63(1), pages 61-80, January.
  25. Leonid Hurwicz, 1994. "Economic design, adjustment processes, mechanisms, and institutions," Review of Economic Design, Springer, vol. 1(1), pages 1-14, December.
  26. Moulin, H., 1984. "Implementing the Kalai-Smorodinsky bargaining solution," Journal of Economic Theory, Elsevier, vol. 33(1), pages 32-45, June.
  27. E. Maskin, 1983. "The Theory of Implementation in Nash Equilibrium: A Survey," Working papers 333, Massachusetts Institute of Technology (MIT), Department of Economics.
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