论文信息 - n-person non-convex bargaining: Efficient proportional solutions

n-person non-convex bargaining: Efficient proportional solutions

For n-person bargaining problems the family of proportional solutions (introduced and characterized by Kalai) is generalized to bargaining problems with non-convex payoff sets. The so-called ''efficient proportional solutions'' are characterized axiomatically using natural extensions of the original axioms provided by Kalai.

Jens Leth Hougaard | Mich Tvede

[1] E. Kalai,et al. OTHER SOLUTIONS TO NASH'S BARGAINING PROBLEM , 1975 .

[2] T.C.A. Anant,et al. Bargaining without convexity: Generalizing the Kalai-Smorodinsky solution , 1990 .

[3] W. Thomson,et al. Bargaining problems with claims , 1992 .

[4] R. Serrano,et al. Beyond Nash Bargaining Theory: The Nash Set , 1998 .

[5] R. Färe,et al. Benefit and Distance Functions , 1996 .

[6] J. Nash. THE BARGAINING PROBLEM , 1950, Classics in Game Theory.

[7] M. Kaneko. An extension of the Nash bargaining problem and the Nash social welfare function , 1980 .

[8] D. Luenberger. Benefit functions and duality , 1992 .

[9] Lin Zhou. THE NASH BARGAINING THEORY WITH NON-CONVEX PROBLEMS , 1997 .

[10] J. Hougaard,et al. Nonconvex n-person bargaining: efficient maxmin solutions , 2003 .

[11] John P. Conley,et al. The bargaining problem without convexity: extending the egalitarian and Kalai-Smorodinsky solutions , 1991 .

[12] E. Kalai. Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons , 1977 .

[13] Mich Tvede,et al. Benchmark Selection: An Axiomatic Approach , 2001 .

[14] M. Herrero. The nash program: Non-convex bargaining problems , 1989 .