Multi-Utilitarian Bargaining Solutions
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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- Blackorby, C. & Bossert, W. & Donaldson, D., 1993.
"Generalized Ginis and Cooperative Bargaining Solution,"
93a12, Universite Aix-Marseille III.
- Blackorby, Charles & Bossert, Walter & Donaldson, David, 1994. "Generalized Ginis and Cooperative Bargaining Solutions," Econometrica, Econometric Society, vol. 62(5), pages 1161-78, September.
- Myerson, Roger B, 1977.
"Two-Person Bargaining Problems and Comparable Utility,"
Econometric Society, vol. 45(7), pages 1631-37, October.
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- Ehud Kalai, 1977.
"Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons,"
179, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-30, October.
- Ok, Efe A. & Zhou, Lin, 2000.
"The Choquet Bargaining Solutions,"
Games and Economic Behavior,
Elsevier, vol. 33(2), pages 249-264, November.
- Ok, E.A. & Zhou, L., 1996.
"Revealed Group Preferences on Non-Convex Choice Problems,"
96-39, C.V. Starr Center for Applied Economics, New York University.
- Efe A. Ok & Lin Zhou, 1999. "Revealed group preferences on non-convex choice problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(3), pages 671-687.
- Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
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