Solidarity in games with a coalition structure

被引:16
作者
Calvo, Emilio [1 ,2 ]
Gutierrez, Esther [3 ]
机构
[1] Univ Valencia, Dept Econ Anal, E-46003 Valencia, Spain
[2] Univ Valencia, ERI CES, E-46003 Valencia, Spain
[3] Univ Basque Country, EHU, Dept Econ Aplicada 4, E-48080 Bilbao, Spain
关键词
Games with a coalition structure; Owen value; The two-step Shapley value; Solidarity; AXIOMATIC CHARACTERIZATION; FAIR DIVISION; BANZHAF VALUE; COOPERATION;
D O I
10.1016/j.mathsocsci.2010.08.004
中图分类号
F [经济];
学科分类号
02 ;
摘要
A new axiomatic characterization of the two-step Shapley value Kamijo (2009) is presented based on a solidarity principle of the members of any union: when the game changes due to the addition or deletion of players outside the union, all members of the union will share the same gains/losses. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:196 / 203
页数:8
相关论文
共 25 条
[1]   On coalitional semivalues [J].
Albizuri, MJ ;
Zarzuelo, JM .
GAMES AND ECONOMIC BEHAVIOR, 2004, 49 (02) :221-243
[2]   A comparative axiomatic characterization of the Banzhaf-Owen coalitional value [J].
Alonso-Meijide, J. M. ;
Carreras, F. ;
Fiestras-Janeiro, M. G. ;
Owen, G. .
DECISION SUPPORT SYSTEMS, 2007, 43 (03) :701-712
[3]   Modification of the Banzhaf value for games with a coalition structure [J].
Alonso-Meijide, JM ;
Fiestras-Janeiro, MG .
ANNALS OF OPERATIONS RESEARCH, 2002, 109 (1-4) :213-227
[4]   The modified Banzhaf value for games with coalition structure:: an axiomatic characterization [J].
Amer, R ;
Carreras, F ;
Giménez, JM .
MATHEMATICAL SOCIAL SCIENCES, 2002, 43 (01) :45-54
[5]  
Aumann R. J., 1974, International Journal of Game Theory, V3, P217, DOI 10.1007/BF01766876
[6]  
Banzhaf J.F., 1965, Rutgers Law Review, V19, P317
[7]   The principle of balanced contributions and hierarchies of cooperation [J].
Calvo, E ;
Lasaga, JJ ;
Winter, E .
MATHEMATICAL SOCIAL SCIENCES, 1996, 31 (03) :171-182
[8]   Outside options, component efficiency, and stability [J].
Casajus, Andre .
GAMES AND ECONOMIC BEHAVIOR, 2009, 65 (01) :49-61
[9]   VALUE THEORY WITHOUT EFFICIENCY [J].
DUBEY, P ;
NEYMAN, A ;
WEBER, RJ .
MATHEMATICS OF OPERATIONS RESEARCH, 1981, 6 (01) :122-128
[10]   ENDOGENOUS FORMATION OF COALITIONS [J].
HART, S ;
KURZ, M .
ECONOMETRICA, 1983, 51 (04) :1047-1064