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Constrained Matrix Games with Fuzzy Payoffs

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Fuzzy Solution Concepts for Non-cooperative Games

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

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Abstract

In this chapter, flaws of the existing methods [4,5,6,7] for solving constrained matrix games with fuzzy payoffs (constrained matrix games in which payoffs are represented by fuzzy numbers) are pointed out. To resolve these flaws, a new method (named as Vaishnavi 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 constrained matrix games with fuzzy payoffs. To illustrate the proposed Vaishnavi method, some existing numerical problems of constrained matrix games with fuzzy payoffs are solved.

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Correspondence to Tina Verma .

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Verma, T., Kumar, A. (2020). Constrained 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_3

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