A Fictitious-Play Model of Bargaining To Implement the Nash Solution
AbstractWe present a fictitious-play model of bargaining, where two bargainers play the Nash demand game repeatedly. The bargainers make a deliberate decision on their demands in the initial period and then follow a fictitious play process subsequently. If the bargainers are patient, the set of epsilon -equilibria of the initial-demand game is in a neighborhood of the division corresponding to the Nash bargaining solution. As the bargainers make a more accurate comparison of payoffs and become more patient accordingly, the set of epsilon-equilibria shrinks and the only equilibrium left is the division of the Nash bargaining solution.
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Bibliographic InfoPaper provided by National University of Singapore, Department of Economics in its series Departmental Working Papers with number wp0509.
Date of creation: Jan 2005
Date of revision:
fictitious play; Nash demand game; epsilon-equilibrium; Nash bargaining solution; Nash program.;
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
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
- D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
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- Ariel Rubinstein, 2010.
"Perfect Equilibrium in a Bargaining Model,"
Levine's Working Paper Archive
661465000000000387, David K. Levine.
- Roberto Serrano, 2005.
"Fifty years of the Nash program, 1953-2003,"
Fundación SEPI, vol. 29(2), pages 219-258, May.
- Binmore, Ken & Samuelson, Larry & Young, Peyton, 2003. "Equilibrium selection in bargaining models," Games and Economic Behavior, Elsevier, vol. 45(2), pages 296-328, November.
- Ken Binmore & Larry Samuelson & Petyon Young, 2003. "Equilibrium Selection in Bargaining Models," Levine's Bibliography 506439000000000466, UCLA Department of Economics.
- Ellingsen, Tore, 1995.
"The Evolution of Bargaining Behavior,"
Working Paper Series in Economics and Finance
61, Stockholm School of Economics.
- JÃrg Oechssler & Frank Riedel, 2001.
"Evolutionary dynamics on infinite strategy spaces,"
Springer, vol. 17(1), pages 141-162.
- Joerg Oechssler & Frank Riedel, 1998. "Evolutionary Dynamics on Infinite Strategy Spaces," Game Theory and Information 9805002, EconWPA, revised 12 May 1998.
- Oechssler, Jörg & Riedel, Frank, 1998. "Evolutionary dynamics on infinite strategy spaces," SFB 373 Discussion Papers 1998,68, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Oechssler, Joerg & Frank Riedel, 1999. "Evolutionary Dynamics on Infinite Strategy Spaces," Discussion Paper Serie A 606, University of Bonn, Germany.
- Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
- Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
- Debreu,Gerard Introduction by-Name:Hildenbrand,Werner, 1986. "Mathematical Economics," Cambridge Books, Cambridge University Press, number 9780521335614, October.
- Juana Santamaria-Garcia, 2004. "Equilibrium Selection In The Nash Demand Game. An Evolutionary Approach," Working Papers. Serie AD 2004-34, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Young H. P., 1993. "An Evolutionary Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 59(1), pages 145-168, February.
- Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
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