AN AXIOM SYSTEM FOR A VALUE FOR GAMES IN PARTITION FUNCTION FORM

被引:33
作者
Albizuri, M. J. [1 ]
Arin, J. [2 ]
Rubio, J. [3 ]
机构
[1] Univ Basque Country, Dept Appl Econ 4, Bilbao, Spain
[2] Univ Basque Country, Dept Fdn Econ Anal, Bilbao, Spain
[3] Univ Basque Country, Dept Stat & Econometr, Bilbao, Spain
关键词
Games in partition function form; Shapley value;
D O I
10.1142/S0219198905000405
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Lucas and Trall (1963) defined the games in partition function form as a generalization of the cooperative games with transferable utility. In our work we propose by means of an axiomatic characterization a solution for such games in partition function form. This solution will be a generalization of the Shapley value (1953).
引用
收藏
页码:63 / 72
页数:10
相关论文
共 10 条
[1]   A SET OF AXIOMS FOR A VALUE FOR PARTITION-FUNCTION GAMES [J].
BOLGER, EM .
INTERNATIONAL JOURNAL OF GAME THEORY, 1989, 18 (01) :37-44
[2]   A CLASS OF EFFICIENT VALUES FOR GAMES IN PARTITION-FUNCTION FORM [J].
BOLGER, EM .
SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1987, 8 (03) :460-466
[3]   A CONCEPT OF EGALITARIANISM UNDER PARTICIPATION CONSTRAINTS [J].
DUTTA, B ;
RAY, D .
ECONOMETRICA, 1989, 57 (03) :615-635
[4]   ON WEIGHTED SHAPLEY VALUES [J].
KALAI, E ;
SAMET, D .
INTERNATIONAL JOURNAL OF GAME THEORY, 1987, 16 (03) :205-222
[5]  
Myerson R. B., 1977, International Journal of Game Theory, V6, P23, DOI 10.1007/BF01770871
[6]  
Olver W. J. F., 1997, ASYMPTOTICS SPECIAL
[7]   NUCLEOLUS OF A CHARACTERISTIC FUNCTION GAME [J].
SCHMEIDL.D .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1969, 17 (06) :1163-&
[8]  
Shapley LS, 1953, CONTRIBUTIONS THEORY, V2, P307
[9]  
Thrall R. M., 1963, NAV RES LOGIST Q, V10, P281, DOI [DOI 10.1002/NAV.3800100126, 10.1002/nav.3800100126]
[10]  
Tomescu I., 1985, PROBLEMS COMBINATORI