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Multi-Utilitarian Bargaining Solutions

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  • Miguel Ángel Hinojosa

    ()
    (Department of Economics, Quantitative Methods and Economic History, Universidad Pablo de Olavide)

  • Amparo Mª Mármol

    ()
    (Department of Applied Economics III, Universidad de Sevilla)

  • José Manuel Zarzuelo

    ()
    (Department of Applied Economics IV, Universidad del País Vasco)

Abstract

This paper introduces and analyzes the class of multi-utilitarian solutions for cooperative bargaining problems. We show that generalized Gini solutions and inequality averse Choquet bargaining solutions are particular cases of this new multi-valued solution concept and provide a complete characterization of inequality averse multi-utilitarian solutions in which an invariance property consisting of a weakening of both the linear invariance axiom in Blackorby et al. (1994) and the restricted invariance axiom in Ok and Zhou (2000). Moreover, by relaxing the assumptions involved in the characterization, the class is extended to include equality averse multi-utilitarian solutions which are also studied in the paper.

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File URL: http://www.upo.es/serv/bib/wps/econ0713.pdf
File Function: First version, 2007
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Bibliographic Info

Paper provided by Universidad Pablo de Olavide, Department of Economics in its series Working Papers with number 07.13.

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Length: 23 pages
Date of creation: Jul 2007
Date of revision:
Handle: RePEc:pab:wpaper:07.13

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Keywords: Axiomatic bargaining theory; multi-valued bargaining solutions; generalized Gini solutions; inequality adverse Choquet solutions.;

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  1. Blackorby, C. & Bossert, W. & Donaldson, D., 1993. "Generalized Ginis and Cooperative Bargaining Solution," G.R.E.Q.A.M., Universite Aix-Marseille III 93a12, Universite Aix-Marseille III.
  2. Efe A. Ok & Lin Zhou, 1999. "Revealed group preferences on non-convex choice problems," Economic Theory, Springer, Springer, vol. 13(3), pages 671-687.
  3. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, Econometric Society, vol. 18(2), pages 155-162, April.
  4. Ok, Efe A. & Zhou, Lin, 2000. "The Choquet Bargaining Solutions," Games and Economic Behavior, Elsevier, Elsevier, vol. 33(2), pages 249-264, November.
  5. Roger B. Myerson, 1976. "Two-Person Bargaining Problems and Comparable Utility," Discussion Papers, Northwestern University, Center for Mathematical Studies in Economics and Management Science 247, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  6. Ehud Kalai, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Discussion Papers, Northwestern University, Center for Mathematical Studies in Economics and Management Science 179, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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