Potential approach and characterizations of a Shapley value in multi-choice games

Mathematical Social Sciences - Tập 56 Số 3 - Trang 321-335 - 2008
Yan-An Hwang1, Yu-Hsien Liao1
1Department of Applied Mathematics, National Dong Hwa University, Hualien, Taiwan

Tóm tắt

Từ khóa


Tài liệu tham khảo

Calvo, 1997, Potential in cooperative TU-games, Mathematical Social Sciences, 34, 175, 10.1016/S0165-4896(97)00015-2

Derks, 1993, A Shapley value for games with restricted coalitions, International Journal of Game Theory, 21, 351, 10.1007/BF01240150

Derks, 1997, Consistent restricted Shapley values, Mathematical Social Sciences, 33, 75, 10.1016/S0165-4896(96)00821-9

Hart, 1989, Potential, value and consistency, Econometrica, 57, 589, 10.2307/1911054

Hsiao, 1992, Monotonicity and dummy free property for multi-choice cooperative games, International Journal of Game Theory, 21, 301, 10.1007/BF01258281

Hsiao, 1993, Shapley value for multi-choice cooperative game (I), Games and Economic Behavior, 5, 240, 10.1006/game.1993.1014

Klijn, 1999, Characterizations of a multi-choice value, International Journal of Game Theory, 28, 521, 10.1007/s001820050123

Myerson, 1980, Conference structures and fair allocation rules, International Journal of Game Theory, 9, 169, 10.1007/BF01781371

Ortmann, K.M., 1995a. Preservation of differences, potential, conservity. Working paper 236, Inst. of Math. Ec., University of Bielefeld

Ortmann, K.M., 1995b. Conservation of energy in nonatomic games. Working paper 237, Inst. of Math. Ec., University of Bielefeld

Peters, 2005, The egalitarian solution for multichoice games, Annals of Operations Research, 137, 399, 10.1007/s10479-005-2270-7

Shapley, 1953, A value for n-person game, 307

van den Nouweland, A., 1993. Games and graphs in economic situations. Ph.D. Dissertation, Tilburg University, Tilburg, The Netherlands

van den Nouweland, 1995, Core and related solution concepts for multi-choice games, ZOR-Mathematical Methods of Operations Research, 41, 289, 10.1007/BF01432361

Young, 1985, Monotonic solutions of cooperative games, International Journal of Game Theory, 14, 65, 10.1007/BF01769885