Abstract
In this paper, we provide two characterizations in the context of NTU games: of the consistent egalitarian solution and of the core. The first characterization is based on reduced games and contraction and expansion independence. The second one is based on reduced games and sub-reduced games.
Similar content being viewed by others
References
Chun Y (1989) A new axiomatization of the Shapley value. Games Econ Behav 1:119–130
Greenberg J (1985) Cores of convex games without side payments. Math Oper Res 10:523–525
Harsanyi JC (1959) A bargaining model for the cooperative n-persons games. In: Tucker AW, Luce RD (eds) Contributions to the theory of games IV. Princeton University Press, Princeton, pp 325–355
Hart S (1985) An axiomatization of Harsanyi’s nontransferable utility solution. Econometrica 53:1295–1313
Hwang YA, Sudhölter P (2001) Axiomatizations of the core on the universal domain and other natural domains. Int J Game Theory 29:597–623
Kalai E (1975) Excess functions for cooperative games without side payments. SIAM J Appl Math 29:60–71
Kalai E (1977) Proportional solutions to bargaining situations: interpersonal utility comparisons. Econometrica 45:1623–1630
Kalai E, Samet D (1985) Monotonic solutions to general cooperative games. Econometrica 53:307–327
Moldovanu B (1990) Stable bargained equilibria for assignment games without side payments. Int J Game Theory 19:171–190
Orshan G, Zarzuelo J (2000) The bilateral consistent prekernel for NTU games. Games Econ Behav 32:67–84
Orshan G, Valenciano F, Zarzuelo J (2000) The bilateral consistent prekernel, the core and NTU bankruptcy problems. Mimeo, Universidad del Pais Vasco
Peleg B (1985) An axiomatization of the core of cooperative games without side payments. J Math Econ 14:203–214
Peleg B (1986) On the reduced game property and its converse. Int J Game Theory 15:187–200
Serrano R (1997) Reinterpreting the kernel. J Econ Theory 77:58–80
Serrano R, Shimomura K-I (1998) Beyond Nash bargaining theory: the Nash set. J Econ Theory 83:283–307
Serrano R, Volij O (1998) Axiomatizations of neoclassical concepts for economies. J Math Econ 30:87–108
Tadenuma K (1992) Reduced games, consistency, and the core. Int J Game Theory 20:325–334
Thomson W (1995) Consistent allocation rules. Mimeo, University of Rochester
Thomson W, Myerson RB (1980) Monotonicity and independence axioms. Int J Game Theory 9:37–49
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hwang, YA. Two characterizations of the consistent egalitarian solution and of the core on NTU games. Math Meth Oper Res 64, 557–568 (2006). https://doi.org/10.1007/s00186-006-0100-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00186-006-0100-6