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A Comment on the Nash Program and the Theory of Implementation

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Author Info
Roberto Serrano

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Abstract

The mechanisms in the Nash program for cooperative games are made compatible with the framework of the theory of implementation. This is done through a reinterpretation of the characteristic function that avoids feasibility problems, thereby allowing an analysis that focuses exclusively on the payoff space. In this framework, we show that the core is the only major cooperative solution that is Maskin monotonic. Thus, implementation of most cooperative solutions must rely on refinements of the Nash equilibrium concept (like most papers in the Nash program do). Finally, the mechanisms in the Nash program are adapted into the model.

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File URL: http://www.econ.upf.edu/docs/papers/downloads/161.pdf
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Paper provided by Department of Economics and Business, Universitat Pompeu Fabra in its series Economics Working Papers with number 161.

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Date of creation: Mar 1996
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Handle: RePEc:upf:upfgen:161

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Web page: http://www.econ.upf.edu/

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Related research
Keywords: Nash program; implementation;

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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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  1. Trockel,W., 1999. "Integrating the Nash program into mechanism theory," Working Papers 305, Bielefeld University, Institute of Mathematical Economics. [Downloadable!]
    Other versions:
  2. Roberto Serrano, 2004. "Fifty Years of the Nash Program, 1953-2003," Working Papers 2004-20, Brown University, Department of Economics. [Downloadable!]
    Other versions:
  3. Roberto Serrano, 2003. "The Theory of Implementation of Social Choice Rules," Working Papers 2003-19, Brown University, Department of Economics. [Downloadable!]
    Other versions:
  4. Claus-Jochen Haake, 2005. "Two support results for the Kalai-Smorodinsky solution in small object division markets," Working Papers 366, Bielefeld University, Institute of Mathematical Economics. [Downloadable!]
  5. Trockel,W., 2001. "Can and should the Nash program be looked at as a part of mechanism theory?," Working Papers 322, Bielefeld University, Institute of Mathematical Economics. [Downloadable!]
  6. Walter Trockel, 1999. "On the Nash Program for the Nash Bargaining Solution," UCLA Economics Working Papers 788, UCLA Department of Economics. [Downloadable!]
    Other versions:
  7. Luis Corchón & Matteo Triossi, 2008. "Implementation with renegotiation when preferences and feasible sets are state dependent," Documentos de Trabajo 255, Centro de Economía Aplicada, Universidad de Chile. [Downloadable!]
  8. Trockel,W., 1999. "Unique Nash implementation for a class of bargaining solutions," Working Papers 308, Bielefeld University, Institute of Mathematical Economics. [Downloadable!]
  9. Luis C. Corchon & Matteo Triosi, 2005. "Implementation With State Dependent Feasible Sets And Preferences: A Renegotiation Approach," Economics Working Papers we057136, Universidad Carlos III, Departamento de Economía. [Downloadable!]
    Other versions:
  10. Claus-Jochen Haake & Walter Trockel, 2007. "On Maskin monotonicity of solution based social choice rules," Working Papers 393, Bielefeld University, Institute of Mathematical Economics. [Downloadable!]
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