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Fair bargains: distributive justice and Nash Bargaining Theory

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Author Info
Marco Mariotii (University of Manchester)
Abstract

The Suppes-Sen dominance relation is a weak and widely accepted criterion of distributive justice. We propose its application to Nash bargaining theory. The Nash Bargaining Solution (NBS) is characterised by replacing the contriversial Independence of Irrelevant Alternatives axiom with an axiom embodying the Suppes-Sen Principle. More precisely, the Suppes-Sen relation is shown to be equivalent to the (relation implied by the) NBS in the presence of Scale Covariance. The characterisation is far more robust than the standard one with respect to variations in the domain of bargaining problems. It is shown that a subset of Nash's axioms imply the Suppes-Sen relation.

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Paper provided by EconWPA in its series Game Theory and Information with number 9611003.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length: 27 pages
Date of creation: 26 Nov 1996
Date of revision: 27 Nov 1996
Handle: RePEc:wpa:wuwpga:9611003

Note: Type of Document - word; prepared on pc; to print on PostScript; pages: 27; figures: included
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Related research
Keywords: Suppes-Sen NBS;

Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

References listed on IDEAS
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  1. Weymark, J.A., 1990. "A Reconsideration Of The Harsanyi-Sen Debate On Utilitarianism," UBC Departmental Archives 90-03, UBC Department of Economics.
  2. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1994. "Generalized Ginis and Cooperative Bargaining Solutions," Econometrica, Econometric Society, vol. 62(5), pages 1161-78, September. [Downloadable!] (restricted)
    Other versions:
  3. Roth, Alvin E, 1979. "Proportional Solutions to the Bargaining Problem," Econometrica, Econometric Society, vol. 47(3), pages 775-77, May. [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. Herrero, Maria Jose, 1989. "The nash program: Non-convex bargaining problems," Journal of Economic Theory, Elsevier, vol. 49(2), pages 266-277, December. [Downloadable!] (restricted)
  6. Rubinstein, Ariel & Safra, Zvi & Thomson, William, 1992. "On the Interpretation of the Nash Bargaining Solution and Its Extension to Non-expected Utility Preferences," Econometrica, Econometric Society, vol. 60(5), pages 1171-86, September. [Downloadable!] (restricted)
  7. Mariotti, Marco, 1994. "The Nash solution and Independence of Revealed Irrelevant Alternatives," Economics Letters, Elsevier, vol. 45(2), pages 175-179, June. [Downloadable!] (restricted)
  8. Marco Mariotti, 1998. "Nash bargaining theory when the number of alternatives can be finite," Social Choice and Welfare, Springer, vol. 15(3), pages 413-421. [Downloadable!] (restricted)
  9. Ray, D. & Vohra, R., 1993. "Equilibrium Binding Agreements," Papers 21, Boston University - Department of Economics.
    Other versions:
  10. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February. [Downloadable!] (restricted)
  11. Ehud Kalai, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Discussion Papers 179, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
    Other versions:
  12. Fernandez, Raquel & Glazer, Jacob, 1991. "Striking for a Bargain between Two Completely Informed Agents," American Economic Review, American Economic Association, vol. 81(1), pages 240-52, March. [Downloadable!] (restricted)
    Other versions:
  13. Myerson, Roger B, 1981. "Utilitarianism, Egalitarianism, and the Timing Effect in Social Choice Problems," Econometrica, Econometric Society, vol. 49(4), pages 883-97, June. [Downloadable!] (restricted)
  14. Madden, Paul, 1996. "Suppes-Sen dominance, generalised Lorenz dominance and the welfare economics of competitive equilibrium: Some examples," Journal of Public Economics, Elsevier, vol. 61(2), pages 247-262, August. [Downloadable!] (restricted)
  15. Blackorby, Charles & Donaldson, David, 1977. "Utility vs equity : Some plausible quasi-orderings," Journal of Public Economics, Elsevier, vol. 7(3), pages 365-381, June. [Downloadable!] (restricted)
  16. Bossert, Walter, 1994. "Rational choice and two-person bargaining solutions," Journal of Mathematical Economics, Elsevier, vol. 23(6), pages 549-563, November. [Downloadable!] (restricted)
  17. Roemer, J.E., 1990. "Welfarism And Axiomatic Bargainig Theory," Papers 351, California Davis - Institute of Governmental Affairs.
  18. Alvin E Roth, 2008. "Axiomatic Models of Bargaining," Levine's Bibliography 122247000000002376, UCLA Department of Economics. [Downloadable!]
  19. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April. [Downloadable!] (restricted)
  20. Ehud Kalai, 1983. "Solutions to the Bargaining Problem," Discussion Papers 556, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  21. 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. [Downloadable!] (restricted)
  22. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1996. "Consistency, Replication Invariance, and Generalized Gini Bargaining Solutions," Journal of Economic Theory, Elsevier, vol. 69(2), pages 367-386, May. [Downloadable!] (restricted)
  23. Krishna, Vijay & Serrano, Roberto, 1996. "Multilateral Bargaining," Review of Economic Studies, Blackwell Publishing, vol. 63(1), pages 61-80, January. [Downloadable!] (restricted)
  24. Haller, Hans & Holden, Steinar, 1990. "A letter to the editor on wage bargaining," Journal of Economic Theory, Elsevier, vol. 52(1), pages 232-236, October. [Downloadable!] (restricted)
  25. Lensberg, Terje, 1988. "Stability and the Nash solution," Journal of Economic Theory, Elsevier, vol. 45(2), pages 330-341, August. [Downloadable!] (restricted)
  26. Thomson, A., 1989. "The Consistency Principle," RCER Working Papers 192, University of Rochester - Center for Economic Research (RCER).
  27. Peters, Hans & Wakker, Peter, 1991. "Independence of Irrelevant Alternatives and Revealed Group Preferences," Econometrica, Econometric Society, vol. 59(6), pages 1787-1801, November. [Downloadable!] (restricted)
  28. Mariotti, Marco, 1997. "A Model of Agreements in Strategic Form Games," Journal of Economic Theory, Elsevier, vol. 74(1), pages 196-217, May. [Downloadable!] (restricted)
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