Alternative Characterizations of the Proportional Solution for Nonconvex Bargaining Problems with Claims

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Alternative Characterizations of the Proportional Solution for Nonconvex Bargaining Problems with Claims

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Michele Lombardi (Queen Mary, University of London)
Naoki Yoshihara () (Hitotsubashi University)

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Abstract

We provide three alternative characterizations of the proportional solution defined on compact and comprehensive bargaining problems with claims that are not necessarily convex. One characterization result is obtained by using, together with other standard axioms, two solidarity axioms. Another characterization theorem shows that the single-valuedness axiom is dispensable even within the class of nonconvex problems if the standard symmetry axiom is imposed.

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Paper provided by Queen Mary, University of London, Department of Economics in its series Working Papers with number 632.

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Date of creation: Jul 2008
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Handle: RePEc:qmw:qmwecw:wp632

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Paper
- Michele Lombardi & Naoki Yoshihara, 2008. "Alternative Characterizations of the Proportional Solution for Nonconvex Bargaining Problems with Claims," Discussion Paper Series a501, Institute of Economic Research, Hitotsubashi University. [Downloadable!]

Find related papers by JEL classification:
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
D60 - Microeconomics - - Welfare Economics - - - General
D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

This paper has been announced in the following NEP Reports:

NEP-ALL-2008-07-20 (All new papers)
NEP-GTH-2008-07-20 (Game 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.:

Chun, Youngsub & Thomson, William, 1992. "Bargaining problems with claims," Mathematical Social Sciences, Elsevier, vol. 24(1), pages 19-33, August. [Downloadable!] (restricted)
Other versions:
- Chun, Y. & Thomson, W., 1989. "Bargaining Problems With Claims," RCER Working Papers 189, University of Rochester - Center for Economic Research (RCER).
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:
- 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. [Downloadable!]
Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April. [Downloadable!] (restricted)
Ross, Stephen A, 1973. "The Economic Theory of Agency: The Principal's Problem," American Economic Review, American Economic Association, vol. 63(2), pages 134-39, May. [Downloadable!] (restricted)
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)
Yongsheng Xu & Naoki Yoshihara, 2006. "The Behavior of Solutions to Bargaining Problems on the Basis of Solidarity," Discussion Paper Series a474, Institute of Economic Research, Hitotsubashi University. [Downloadable!]
Other versions:
- Yongsheng Xu & Naoki Yoshihara, 2008. "The Behaviour Of Solutions To Bargaining Problems On The Basis Of Solidarity," The Japanese Economic Review, Japanese Economic Association, vol. 59(1), pages 133-138. [Downloadable!] (restricted)
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)
Other versions:
- Thomson, W., 1989. "Cooperative Models Of Bargaining," RCER Working Papers 177, University of Rochester - Center for Economic Research (RCER).
Xu, Yongsheng & Yoshihara, Naoki, 2006. "Alternative characterizations of three bargaining solutions for nonconvex problems," Games and Economic Behavior, Elsevier, vol. 57(1), pages 86-92, October. [Downloadable!] (restricted)

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