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Generalized Ginis and Cooperative Bargaining Solutions

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Author Info
Blackorby, Charles
Bossert, Walter
Donaldson, David

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Abstract

This paper introduces and characterizes a new class of solutions to cooperative bargaining problems that can be rationalized by generalized Gini orderings defined on the agents' utility gains. Generalized Ginis are orderings that can be represented by quasi-concave, nondecreasing functions that are linear in rank-ordered subspaces of Euclidean space. In the case of three or more agents, the authors' characterization of (multivalued) generalized Gini bargaining solutions uses a linear invariance requirement in addition to some standard conditions. In the two-person case, the generalized Gini bargaining solutions can be characterized with a weakening of linear invariance. Copyright 1994 by The Econometric Society.

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Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 62 (1994)
Issue (Month): 5 (September)
Pages: 1161-78
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Handle: RePEc:ecm:emetrp:v:62:y:1994:i:5:p:1161-78

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  1. M. Hinojosa & A. Mármol & J. Zarzuelo, 2008. "Inequality averse multi-utilitarian bargaining solutions," International Journal of Game Theory, Springer, vol. 37(4), pages 597-618, December. [Downloadable!] (restricted)
  2. Ok, Efe A. & Zhou, Lin, 1997. "The Choquet Bargaining Solutions," Working Papers 97-36, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
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  3. Francois Maniquet, 2002. "On the Equivalence between Welfarism and Equality of Opportunity," Economics Working Papers 0022, Institute for Advanced Study, School of Social Science. [Downloadable!]
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  4. Abdelkrim Araar & Jean-Yves Duclos, 2001. "An Atkinson-Gini Family of Social Evaluation Functions," UFAE and IAE Working Papers 476.01, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC). [Downloadable!]
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  5. Marco Mariotii, 1996. "Fair bargains: distributive justice and Nash Bargaining Theory," Game Theory and Information 9611003, EconWPA, revised 27 Nov 1996. [Downloadable!]
  6. Miguel Ángel Hinojosa & Amparo Mª Mármol & José Manuel Zarzuelo, 2007. "Multi-Utilitarian Bargaining Solutions," Working Papers 07.13, Universidad Pablo de Olavide, Department of Economics. [Downloadable!]
  7. Ok, E.A., 1996. "Inequality Averse Collective Choice," Working Papers 96-36, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
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