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Multi-Utilitarian Bargaining Solutions

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Author Info
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 Format: application/pdf
File Function: First version, 2007
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Publisher 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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Related research
Keywords: Axiomatic bargaining theory; multi-valued bargaining solutions; generalized Gini solutions; inequality adverse Choquet solutions.;

Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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  1. Myerson, Roger B, 1977. "Two-Person Bargaining Problems and Comparable Utility," Econometrica, Econometric Society, vol. 45(7), pages 1631-37, October. [Downloadable!] (restricted)
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  2. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1994. "Generalized Ginis and Cooperative Bargaining Solutions," Econometrica, Econometric Society, vol. 62(5), pages 1161-78, September. [Downloadable!] (restricted)
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  3. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-30, October. [Downloadable!] (restricted)
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  4. Ok, Efe A. & Zhou, Lin, 2000. "The Choquet Bargaining Solutions," Games and Economic Behavior, Elsevier, vol. 33(2), pages 249-264, November. [Downloadable!] (restricted)
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  5. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April. [Downloadable!] (restricted)
  6. Efe A. Ok & Lin Zhou, 1999. "Revealed group preferences on non-convex choice problems," Economic Theory, Springer, vol. 13(3), pages 671-687. [Downloadable!] (restricted)
    Other versions:
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