Nash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs

In this paper, bi-matrix games are investigated based on L-R fuzzy variables. Also, based on the fuzzy max order several models in non-symmetrical L-R fuzzy environment is constructed and the existence condition of Nash equilibrium strategies of the fuzzy bi-matrix games is proposed. At last, based on the Nash equilibrium of crisp parametric bi-matrix games, we obtain the Pareto and weak Pareto Nash equilibrium strategies of the fuzzy bi-matrix games.

Keywords:

Bi-matrix game , Nash equilibrium , L-R fuzzy variable

Authors

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Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

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Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

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Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran

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لینک ثابت به این Paper:

https://civilica.com/doc/1561775

شناسه ملی سند علمی:

JR_IJNAA-10-1_009

تاریخ نمایه سازی: 11 آذر 1401

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Scientometrics

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Ranking of Islamic Azad University of Karaj

Type of center: Azad University

Paper count: 11,776

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