Credibilistic Equilibria in Extensive Game with Fuzzy Payoffs

Yueshan Yu, Jinwu Gao.

This paper originally considers the finite extensive game with fuzzy payoffs. Three credibilistic approaches are introduced to define the behaviors of players in different decision situations. Accordingly, three types of credibilistic equilibria for the fuzzy extensive game are proposed. Moreover, theorems are given to confirm the existence of these new equilibria in fuzzy extensive game. At the end of this paper, two examples are given to demonstrate the importance of these new concepts.

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