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

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Madandar f.; Haghayegi S.; VAEZPOUR S.M.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2019 | Volume:10 | Issue:1 Page(s): 99-109

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Title

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

Author(s)

Madandar f. | Haghayegi S. | VAEZPOUR S.M. | Issue Writer Certificate

Keywords

Bi-matrix game

Nash equilibrium

L-R fuzzy variable

Abstract

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.

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APA: Copy

Madandar, f., Haghayegi, S., & VAEZPOUR, S.M.. (2019). Nash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 10(1), 99-109. SID. https://sid.ir/paper/340908/en

Vancouver: Copy

Madandar f., Haghayegi S., VAEZPOUR S.M.. Nash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS[Internet]. 2019;10(1):99-109. Available from: https://sid.ir/paper/340908/en

IEEE: Copy

f. Madandar, S. Haghayegi, and S.M. VAEZPOUR, “Nash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs,” INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol. 10, no. 1, pp. 99–109, 2019, [Online]. Available: https://sid.ir/paper/340908/en

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