Credibilistic extensive game with fuzzy payoffs

被引：26

作者：

Gao, Jinwu ^{[1
]}

Yu, Yueshan ^{[2
]}

机构：

[1] Renmin Univ China, Sch Informat, Uncertain Syst Lab, Beijing 100872, Peoples R China

[2] Washington Univ, Olin Business Sch, St Louis, MO 63130 USA

来源：

SOFT COMPUTING | 2013年 / 17卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Extensive game; Fuzzy variable; Credibility measure; Credibilistic equilibrium; EXPECTED VALUE; STRATEGY;

D O I：

10.1007/s00500-012-0928-z

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper considers a finite extensive game with fuzzy payoffs. Within the framework of credibility theory, expected value criterion, optimistic value criterion and pessimistic value criterion are introduced to define the behaviors of players in different decision situations. Accordingly, three types of credibilistic equilibria and credibilistic subgame perfect equilibria for the fuzzy extensive game are proposed, respectively. Moreover, theorems are given to confirm the existence of these credibilistic equilibria in the fuzzy extensive game. Finally, three examples are given to demonstrate the significance of these new concepts.

引用

页码：557 / 567

页数：11

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