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Generalized Ginis and Cooperative Bargaining Solutions

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  • Blackorby, Charles
  • Bossert, Walter
  • Donaldson, David

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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  • Blackorby, Charles & Bossert, Walter & Donaldson, David, 1994. "Generalized Ginis and Cooperative Bargaining Solutions," Econometrica, Econometric Society, vol. 62(5), pages 1161-1178, September.
    • Handle: RePEc:ecm:emetrp:v:62:y:1994:i:5:p:1161-78
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    Cited by:

    1. M. Hinojosa & A. Mármol & J. Zarzuelo, 2008. "Inequality averse multi-utilitarian bargaining solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 37(4), pages 597-618, December.
    2. Ok, Efe A. & Zhou, Lin, 2000. "The Choquet Bargaining Solutions," Games and Economic Behavior, Elsevier, vol. 33(2), pages 249-264, November.
    3. Jean-Yves Duclos & Abdelkrim Araar, 2003. "An Atkinson-Gini family of social evaluation functions," Economics Bulletin, AccessEcon, vol. 3(19), pages 1-16.
    4. François Maniquet, 2004. "On the equivalence between welfarism and equality of opportunity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(1), pages 127-147, August.
    5. repec:ebl:ecbull:v:3:y:2003:i:19:p:1-16 is not listed on IDEAS
    6. Russell Davidson & Jean-Yves Duclos, 1997. "Statistical Inference for the Measurement of the Incidence of Taxes and Transfers," Econometrica, Econometric Society, vol. 65(6), pages 1453-1466, November.
    7. Ok, Efe A., 1998. "Inequality averse collective choice," Journal of Mathematical Economics, Elsevier, vol. 30(3), pages 301-321, October.
    8. Salonen, Hannu, 1998. "Egalitarian solutions for n-person bargaining games," Mathematical Social Sciences, Elsevier, vol. 35(3), pages 291-306, May.
    9. 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.
    10. Marco Mariotii, 1996. "Fair bargains: distributive justice and Nash Bargaining Theory," Game Theory and Information 9611003, University Library of Munich, Germany, revised 06 Dec 1996.

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