A Constructive Proof of the Nash Bargaining Solution
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- Hans Peters & Dries Vermeulen, 2012. "WPO, COV and IIA bargaining solutions for non-convex bargaining problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(4), pages 851-884, November.
- Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
- Peters, Hans & Wakker, Peter, 1991.
"Independence of Irrelevant Alternatives and Revealed Group Preferences,"
Econometrica, Econometric Society, vol. 59(6), pages 1787-1801, November.
- Peters, H. & Wakker, P.P., 1992. "Independence of irrelevant alternatives and revealed group preferences," Other publications TiSEM d5b29b32-d795-4423-8c3e-0, Tilburg University, School of Economics and Management.
- Marco Mariotti, 1999.
"Fair Bargains: Distributive Justice and Nash Bargaining Theory,"
The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 733-741.
- Marco Mariotti, 1998. "Fair Bargains: Distributive Justice and Nash Bargaining Theory," Royal Holloway, University of London: Discussion Papers in Economics 98/16, Department of Economics, Royal Holloway University of London, revised Feb 1998.
- Lin Zhou, 1997. "The Nash Bargaining Theory with Non-Convex Problems," Econometrica, Econometric Society, vol. 65(3), pages 681-686, May.
- Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
- Conley, John P. & Wilkie, Simon, 1996. "An Extension of the Nash Bargaining Solution to Nonconvex Problems," Games and Economic Behavior, Elsevier, vol. 13(1), pages 26-38, March.
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More about this item
Keywords
Nash Bargaining; Constructive Proof;JEL classification:
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
NEP fields
This paper has been announced in the following NEP Reports:- NEP-GTH-2014-06-02 (Game Theory)
- NEP-MIC-2014-06-02 (Microeconomics)
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