A VALUE FOR CONTINUOUSLY-MANY-CHOICE COOPERATIVE GAMES

被引:4
作者
HSIAO, CR
机构
[1] Department of Mathematics, SooChow University, Taipei
关键词
D O I
10.1007/BF01243156
中图分类号
F [经济];
学科分类号
02 ;
摘要
We extend a multi-choice cooperative game to a continuously-many-choice cooperative game. The set of all continuously-many-choice cooperative games is isomorphic to the set of all cooperative fuzzy games. A continuously-many-choice cooperative game and a cooperative fuzzy game have different physical interpretations. We define a value for the continuously-many-choice cooperative game and show that the value for the continuously-many-choice cooperative game has most properties as the traditional Shapley value does. Also, we give a probabilistic interpretation for the value. The probabilistic interpretation reveals some interesting properties of the value. Finally, we discuss the uniqueness of the value.
引用
收藏
页码:273 / 292
页数:20
相关论文
共 8 条
[1]   COOPERATIVE FUZZY GAMES [J].
AUBIN, JP .
MATHEMATICS OF OPERATIONS RESEARCH, 1981, 6 (01) :1-13
[2]  
BARLOW RE, 1975, STATISTICAL THEORY R
[3]   MONOTONICITY AND DUMMY FREE PROPERTY FOR MULTICHOICE COOPERATIVE GAMES [J].
HSIAO, CR ;
RAGHAVAN, TES .
INTERNATIONAL JOURNAL OF GAME THEORY, 1992, 21 (03) :301-312
[4]   SHAPLEY VALUE FOR MULTICHOICE COOPERATIVE GAMES .1. [J].
HSIAO, CR ;
RAGHAVAN, TES .
GAMES AND ECONOMIC BEHAVIOR, 1993, 5 (02) :240-256
[5]  
HSIAO CR, 1993, IN PRESS GAMES EC BE
[6]  
OWEN G, 1985, GAME THEORY
[7]  
Shapley L. S., 1953, CONTRIBUTIONS THEORY, VII, P307, DOI 10.1515/9781400881970-018
[8]   FUZZY SETS [J].
ZADEH, LA .
INFORMATION AND CONTROL, 1965, 8 (03) :338-&