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Credibilistic extensive game with fuzzy payoffs

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Abstract

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.

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Acknowledgments

This work was supported by National Natural Science Foundation of China (Grant No. 61074193) and Program for New Century Excellent Talents in University.

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Authors and Affiliations

  1. Uncertain Systems Laboratory, School of Information, Renmin University of China, Beijing, 100872, China

    Jinwu Gao

  2. Olin Business School, Washington University in St. Louis, St. Louis, MO, 63130, USA

    Yueshan Yu

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  1. Jinwu Gao
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  2. Yueshan Yu
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Correspondence to Jinwu Gao.

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Gao, J., Yu, Y. Credibilistic extensive game with fuzzy payoffs. Soft Comput 17, 557–567 (2013). https://doi.org/10.1007/s00500-012-0928-z

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