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Fuzzy Solution Concepts for Non-cooperative Games pp 37–63Cite as

Matrix Games with Fuzzy Payoffs

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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 383))

Abstract

In this chapter, flaws of the existing methods [5, 10,11,12, 14] for solving matrix game with fuzzy payoffs (matrix games in which payoffs are represented as fuzzy numbers) are pointed out. To resolve these flaws, a new method (named as Mehar method) is also proposed to obtain the optimal strategies as well as minimum expected gain of Player I and maximum expected loss of Player II for matrix games with fuzzy payoffs. To illustrate the proposed Mehar method, the existing numerical problems of matrix games with fuzzy payoffs are solved by the proposed Mehar method.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Ropar, Rupnagar, Punjab, India

    Tina Verma

  2. School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, Punjab, India

    Amit Kumar

Authors
  1. Tina Verma
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  2. Amit Kumar
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Correspondence to Tina Verma .

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Verma, T., Kumar, A. (2020). Matrix Games with Fuzzy Payoffs. In: Fuzzy Solution Concepts for Non-cooperative Games. Studies in Fuzziness and Soft Computing, vol 383. Springer, Cham. https://doi.org/10.1007/978-3-030-16162-0_2

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