Implementations of the Nash solution based on its Walrasian characterization
AbstractThe present paper provides three different support results for the Nash bargaining solution of $n$-person bargaining games. First, for any bargaining game there is defined a non-cooperative game in strategic form, whose unique Nash equilibrium induces a payoff vector that coincides with the Nash solution of the bargaining game. Next this game is modified in such a way that the unique Nash equilibrium that supports the Nash solution is even in dominant strategies. After that an $n$-stage game in extensive form is presented whose unique subgame perfect equilibrium supports the Nash solution of the bargaining game. Finally, the support results are shown to induce implementation results in the sense of mechanism theory.
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Bibliographic InfoArticle provided by Springer in its journal Economic Theory.
Volume (Year): 16 (2000)
Issue (Month): 2 ()
Note: Received: October 3, 1999; revised version: October 26, 1999
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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
- D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
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- Trockel, Walter, 2011.
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- Trockel,W., 1999. "Integrating the Nash program into mechanism theory," Working Papers 305, Bielefeld University, Center for Mathematical Economics.
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- Claus-Jochen Haake & Walter Trockel, 2007. "On Maskin monotonicity of solution based social choice rules," Working Papers 393, Bielefeld University, Center for Mathematical Economics.
- Matthias Dahm & Nicolas Porteiro, 2005. "A Micro- Foundation for Non-Deterministic Contests of the Logit Form," Discussion Papers 1410, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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