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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- Roger B. Myerson, 1976.
"Two-Person Bargaining Problems and Comparable Utility,"
247, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Myerson, Roger B, 1977. "Two-Person Bargaining Problems and Comparable Utility," Econometrica, Econometric Society, vol. 45(7), pages 1631-37, October.
- Efe A. Ok & Lin Zhou, 1999.
"Revealed group preferences on non-convex choice problems,"
Springer, vol. 13(3), pages 671-687.
- Ok, E.A. & Zhou, L., 1996. "Revealed Group Preferences on Non-Convex Choice Problems," Working Papers 96-39, C.V. Starr Center for Applied Economics, New York University.
- Ok, Efe A. & Zhou, Lin, 1997.
"The Choquet Bargaining Solutions,"
97-36, C.V. Starr Center for Applied Economics, New York University.
- 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.
- Blackorby, Charles & Bossert, Walter & Donaldson, David, 1994.
"Generalized Ginis and Cooperative Bargaining Solutions,"
Econometric Society, vol. 62(5), pages 1161-78, September.
- Blackorby, C. & Bossert, W. & Donaldson, D., 1993. "Generalized Ginis and Cooperative Bargaining Solution," G.R.E.Q.A.M. 93a12, Universite Aix-Marseille III.
- Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
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