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China Meeting on Game Theory and Applications

Joint China-Dutch Workshop on Game Theory and Applications

China GTA 2016, China-Dutch GTA 2016: Game Theory and Applications pp 134–147Cite as

n-Person Credibilistic Non-cooperative Game with Fuzzy Payoffs

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 758))

Abstract

In real game situations, the players are often lack of the information about their opponents’ or even their own payoffs. The existing literature on non-cooperative games with uncertain payoffs just focused on two-person zero-sum games or bimatrix games. In this paper, we consider a n-person non-cooperative game with fuzzy payoffs. First, based on credibility theory, three credibilistic criteria are introduced to define the behavior preferences of players in different game situations. Then, three solution concepts of credibilistic equilibria and their existence theorems are proposed. Finally, three sufficient and necessary conditions are presented for finding the credibilistic equilibrium strategies to illustrate the usefulness of the theory developed in this paper.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Nos. 71671188 and 71271217,), and Natural Science Foundation of Hunan Province, China (No. 2016JJ1024).

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Authors and Affiliations

  1. School of Business, Central South University, Changsha, 410083, China

    Chunqiao Tan & Zhongwei Feng

Authors
  1. Chunqiao Tan
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  2. Zhongwei Feng
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Correspondence to Chunqiao Tan .

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Editors and Affiliations

  1. Fuzhou University, Fuzhou, Fujian, China

    Deng-Feng Li

  2. Chinese Academy of Sciences, Beijing, China

    Xiao-Guang Yang

  3. University of Twente, Enschede, The Netherlands

    Marc Uetz

  4. Northwestern Polytechnical University, Xi'an, China

    Gen-Jiu Xu

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Tan, C., Feng, Z. (2017). n-Person Credibilistic Non-cooperative Game with Fuzzy Payoffs. In: Li, DF., Yang, XG., Uetz, M., Xu, GJ. (eds) Game Theory and Applications. China GTA China-Dutch GTA 2016 2016. Communications in Computer and Information Science, vol 758. Springer, Singapore. https://doi.org/10.1007/978-981-10-6753-2_10

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  • DOI: https://doi.org/10.1007/978-981-10-6753-2_10

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-6752-5

  • Online ISBN: 978-981-10-6753-2

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