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Generalized Ginis and Cooperative Bargaining Solution


  • Blackorby, C.
  • Bossert, W.
  • Donaldson, D.


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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Suggested Citation

  • Blackorby, C. & Bossert, W. & Donaldson, D., 1993. "Generalized Ginis and Cooperative Bargaining Solution," G.R.E.Q.A.M. 93a12, Universite Aix-Marseille III.
  • Handle: RePEc:fth:aixmeq:93a12

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    References listed on IDEAS

    1. Robert J. Shiller, 1991. "Arithmetic Repeat Sales Price Estimators," Cowles Foundation Discussion Papers 971, Cowles Foundation for Research in Economics, Yale University.
    2. Baumol, William J, 1986. "Unnatural Value: Or Art Investment as Floating Crap Game," American Economic Review, American Economic Association, vol. 76(2), pages 10-14, May.
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    5. Fama, Eugene F, 1991. " Efficient Capital Markets: II," Journal of Finance, American Finance Association, vol. 46(5), pages 1575-1617, December.
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    8. Goetzmann, William N, 1993. "Accounting for Taste: Art and the Financial Markets over Three Centuries," American Economic Review, American Economic Association, vol. 83(5), pages 1370-1376, December.
    9. Rosen, Sherwin, 1974. "Hedonic Prices and Implicit Markets: Product Differentiation in Pure Competition," Journal of Political Economy, University of Chicago Press, vol. 82(1), pages 34-55, Jan.-Feb..
    10. Palmquist, Raymond B., 1982. "Measuring environmental effects on property values without hedonic regressions," Journal of Urban Economics, Elsevier, vol. 11(3), pages 333-347, May.
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    13. Jonathan H. Mark & Michael A. Goldberg, 1984. "Alternative Housing Price Indices: An Evaluation," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 12(1), pages 30-49.
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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. 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.
    5. 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.
    6. Ok, Efe A., 1998. "Inequality averse collective choice," Journal of Mathematical Economics, Elsevier, vol. 30(3), pages 301-321, October.
    7. Salonen, Hannu, 1998. "Egalitarian solutions for n-person bargaining games," Mathematical Social Sciences, Elsevier, vol. 35(3), pages 291-306, May.
    8. 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.
    9. Marco Mariotii, 1996. "Fair bargains: distributive justice and Nash Bargaining Theory," Game Theory and Information 9611003, EconWPA, revised 06 Dec 1996.
    10. repec:ebl:ecbull:v:3:y:2003:i:19:p:1-16 is not listed on IDEAS

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