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Nash Implementation and Uncertain Renegotiation

This paper studies Nash implementation when the outcomes of the mechanism can be renegotiated among the agents but the planner does not know the renegotiation function that they will use. We characterize the social objectives that can be implemented in Nash equilibrium when the same mechanism must work for every admissible renegotiation function. The constrained Walrasian correspondence, the core correspondence, and the Pareto-efficient and envy-free correspondence satisfy the necessary and sufficient conditions for this form of implementation if and only if freedisposal of the commodities is allowed. The uniform rule, on the other hand, is not Nash implementable for some admissible renegotiations functions.

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Paper provided by Centro de Estudios Andaluces in its series Economic Working Papers at Centro de Estudios Andaluces with number E2003/27.

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Length: 23 pages
Date of creation: 2003
Date of revision:
Handle: RePEc:cea:doctra:e2003_27
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  1. Matthew O. Jackson & Thomas R. Palfrey, 1998. "Efficiency and Voluntary Implementation in Markets with Repeated Pairwise Bargaining," Econometrica, Econometric Society, vol. 66(6), pages 1353-1388, November.
  2. Luis Corchón & Sandeep Baliga & Tomas Sjöström, 1995. "The Theory Of Implementation When The Planner Is A Player," Working Papers. Serie AD 1995-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  3. Eric Maskin & John Moore, 1998. "Implementation and renegotiation," LSE Research Online Documents on Economics 19350, London School of Economics and Political Science, LSE Library.
  4. Luis Corchón & Bhaskar Chakravorti & Simon Wilkie, 1993. "Credible Implementation," Working Papers. Serie AD 1993-02, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  5. Anil Arya & Jonathan Glover & John S. Hughes, . "Implementing Coordinated Team Play," Corporate Finance & Organizations _006, Ohio State University.
  6. Jackson, Matthew O. & Palfrey, Thomas R., 2001. "Voluntary Implementation," Journal of Economic Theory, Elsevier, vol. 98(1), pages 1-25, May.
  7. Eric Maskin, 1998. "Nash Equilibrium and Welfare Optimality," Harvard Institute of Economic Research Working Papers 1829, Harvard - Institute of Economic Research.
  8. Pablo AmorÕs & Bernardo Moreno, 2001. "original papers : Implementation of optimal contracts under adverse selection," Review of Economic Design, Springer, vol. 6(1), pages 41-61.
  9. Ma, Ching-to & Moore, John & Turnbull, Stephen, 1988. "Stopping agents from "cheating"," Journal of Economic Theory, Elsevier, vol. 46(2), pages 355-372, December.
  10. Leonid Hurwicz, 1994. "Economic design, adjustment processes, mechanisms, and institutions," Review of Economic Design, Springer, vol. 1(1), pages 1-14, December.
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