The General Compromise Value for Cooperative Games With Transferable Utility

被引：0

作者：

SUN Panfei ^{[1
]}

HOU Dongshuang ^{[1
]}

SUN Hao ^{[1
]}

机构：

[1] School of Mathematics and Statistics, Northwestern Polytechnical University

来源：

Journal of Systems Science & Complexity | 2023年 / 36卷 / 01期

基金：

中央高校基本科研业务费专项资金资助; 中国国家自然科学基金;

关键词：

D O I：

暂无

中图分类号：

O225 [对策论（博弈论）];

学科分类号：

070105 ; 1201 ;

摘要：

The authors introduce the general compromise value for cooperative games with transferable utility. With respect to a set of potential payoffs of which the maximal and minimal potential payoff vectors are regarded as the upper and lower bounds for players, the unique pre-imputation lying on the straight line segment with these two vectors as the extreme points is defined as the general compromise value. Potential-consistency and maximal proportional property are introduced to characterize the general compromise value.

引用

页码：375 / 392

页数：18

共 50 条

[41] Associated Games to Optimize the Core of a Transferable Utility Game
Kong, Qianqian
Sun, Hao
Xu, Genjiu
Hou, Dongshuang
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2019, 182 (02) : 816 - 836
[42] Convex and exact games with non-transferable utility
Csoka, Peter
Herings, P. Jean-Jacques
Koczy, Laszlo A.
Pinter, Miklos
[J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2011, 209 (01) : 57 - 62
[43] A NOTE ON ASPIRATIONS IN NON-TRANSFERABLE UTILITY GAMES
BOMZE, IM
[J]. INTERNATIONAL JOURNAL OF GAME THEORY, 1988, 17 (03) : 193 - 200
[44] Values for transferable utility games with coalition and graph structure
van den Brink, Rene
van der Laan, Gerard
Moes, Nigel
[J]. TOP, 2015, 23 (01) : 77 - 99
[45] Values for transferable utility games with coalition and graph structure
René van den Brink
Gerard van der Laan
Nigel Moes
[J]. TOP, 2015, 23 : 77 - 99
[46] Representation of transferable utility games by coalition production economies
Inoue, Tomoki
[J]. JOURNAL OF MATHEMATICAL ECONOMICS, 2012, 48 (03) : 143 - 147
[47] Polytopes of special classes of the balanced transferable utility games
Zinchenko A.B.
[J]. Journal of Applied and Industrial Mathematics, 2016, 10 (1) : 145 - 154
[48] AN AXIOMATIZATION OF THE NON-TRANSFERABLE UTILITY VALUE
AUMANN, RJ
[J]. ECONOMETRICA, 1985, 53 (03) : 599 - 612
[49] Cooperative games with nontransferable utility on antimatroids
Jimenez-Losada, A.
Ordonez, M.
[J]. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2018, 47 (06) : 613 - 631
[50] Properties based on relative contributions for cooperative games with transferable utilities
Yoshio Kamijo
Takumi Kongo
[J]. Theory and Decision, 2015, 78 : 77 - 87

← 1 2 3 4 5 →