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A Characterization of the Nash Bargaining Solution

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Author Info
Nir Dagan
Oscar Volij (Department of Economics, Brown University, and Department of Economics, Hebrew University of Jerusalem.)
Eyal Winter (Department of Economics, Hebrew University.)

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Abstract

We characterize the Nash bargaining solution replacing the axiom of Independence of Irrelevant Alternatives with three independent axioms: Independence of Non-Individually Rational Alternatives, Twisting and Disagreement Point Convexity. We give a non-cooperative bargaining interpretation to this last axiom.

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Paper provided by Oscar Volij in its series Economic theory and game theory with number 013.

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Date of creation: 09 Jan 2001
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Publication status: Published in Social Choice and Welfare, 19, 811-823, (2002).
Handle: RePEc:nid:ovolij:013

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Postal: Oscar Volij, Department of Economics, Ben-Gurion University, Beer-Sheva 84105, Israel
Web page: http://volij.co.il/

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Related research
Keywords: bargaining; Nash bargaining solution.;

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Find related papers by JEL classification:
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

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January. [Downloadable!] (restricted)
  2. Peters, Hans J M, 1986. "Simultaneity of Issues and Additivity in Bargaining," Econometrica, Econometric Society, vol. 54(1), pages 153-69, January. [Downloadable!] (restricted)
  3. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer. [Downloadable!] (restricted)
  4. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-18, May. [Downloadable!] (restricted)
  5. Chun, Youngsub & Thomson, William, 1990. "Nash solution and uncertain disagreement points," Games and Economic Behavior, Elsevier, vol. 2(3), pages 213-223, September. [Downloadable!] (restricted)
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  6. Mariotti, Marco, 1999. "Fair Bargains: Distributive Justice and Nash Bargaining Theory," Review of Economic Studies, Blackwell Publishing, vol. 66(3), pages 733-41, July. [Downloadable!] (restricted)
    Other versions:
  7. Marco Mariotti, 2000. "Maximal symmetry and the Nash solution," Social Choice and Welfare, Springer, vol. 17(1), pages 45-53. [Downloadable!] (restricted)
  8. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April. [Downloadable!] (restricted)
  9. Ehud Kalai & Robert W. Rosenthal, 1976. "Arbitration of Two-Party Disputes Under Ignorance," Discussion Papers 215, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  10. Lensberg, Terje, 1988. "Stability and the Nash solution," Journal of Economic Theory, Elsevier, vol. 45(2), pages 330-341, August. [Downloadable!] (restricted)
  11. Thomson, William, 1994. "Cooperative models of bargaining," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 35, pages 1237-1284 Elsevier. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Geoffroy de Clippel, 2004. "An Axiomatization of the Nash Bargaining Solution," Working Papers 2004-17, Brown University, Department of Economics. [Downloadable!]
    Other versions:
  2. Haruo Imai & Hannu Salonen, 2009. "Limit Solutions for Finite Horizon Bargaining Problems," Discussion Papers 51, Aboa Centre for Economics. [Downloadable!]
  3. Nir Dagan & Oscar Volij & Eyal Winter, 2001. "The time-preference Nash solution," Economic theory and game theory 019, Nir Dagan. [Downloadable!]
    Other versions:
  4. Frank A. Schmid, 2001. "Equity financing of the entrepreneurial firm," Review, Federal Reserve Bank of St. Louis, issue Nov., pages 15-28. [Downloadable!]
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