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The Rights-Egalitarian Solution for NTU Sharing Problems

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Author Info
Carmen Herrero () (Universidad de Alicante & Ivie)
Antonio Villar () (Department of Economics, Universidad Pablo de Olavide & Ivie)

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Abstract

The purpose of this paper is to extend the Rights Egalitarian solution (Herrero, Maschler & Villar, 1999) to the context of non-transferable utility sharing problems. Such an extension is not unique. Depending on the kind of properties we want to preserve we obtain two different generalizations. One is the "proportional solution", that corresponds to the Kalai-Smorodinsky solution for surplus sharing problems and the solution in Herrero (1998) for rationing problems. The other is the "Nash solution” that corresponds to the standard Nash bargaining solution for surplus sharing problems and the Nash rationing solution (Mariotti & Villar (2005) for the case of rationing problems.

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File URL: http://www.upo.es/serv/bib/wps/econ0901.pdf
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File Function: First version, 2008
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Publisher Info
Paper provided by Universidad Pablo de Olavide, Department of Economics in its series Working Papers with number 09.01.

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Length: 18 pages
Date of creation: Jan 2009
Date of revision:
Handle: RePEc:pab:wpaper:09.01

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Related research
Keywords: Sharing problems; rights egalitarian solution; NTU problems.;

Find related papers by JEL classification:
D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

This paper has been announced in the following NEP Reports:

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  1. Carmen Herrero, 1997. "Endogenous reference points and the adjusted proportional solution for bargaining problems with claims," Social Choice and Welfare, Springer, vol. 15(1), pages 113-119. [Downloadable!] (restricted)
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  2. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-18, May. [Downloadable!] (restricted)
  3. Maschler, M & Owen, G, 1989. "The Consistent Shapley Value for Hyperplane Games," International Journal of Game Theory, Springer, vol. 18(4), pages 389-407.
  4. Borm, Peter, et al, 1992. "The Compromise Value for NTU-Games," International Journal of Game Theory, Springer, vol. 21(2), pages 175-89.
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  5. Sergiu Hart, 2005. "An axiomatization of the consistent non-transferable utility value," International Journal of Game Theory, Springer, vol. 33(3), pages 355-366, 09. [Downloadable!] (restricted)
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  6. Chun, Youngsub & Thomson, William, 1992. "Bargaining problems with claims," Mathematical Social Sciences, Elsevier, vol. 24(1), pages 19-33, August. [Downloadable!] (restricted)
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  7. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April. [Downloadable!] (restricted)
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This page was last updated on 2009-11-13.

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