Nash Equilibrium Solution of Trapezoidal FuzzyNumber in Bi-matrix Game

G.Sasikala; Dr.S.Kumaraghuru

doi:https://doi.org/10.14445/22315373/IJMTT-V45P515

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 45 | Number 2 | Year 2017 | Article Id. IJMTT-V45P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V45P515

Nash Equilibrium Solution of Trapezoidal FuzzyNumber in Bi-matrix Game

G.Sasikala, Dr.S.Kumaraghuru

Citation :

G.Sasikala, Dr.S.Kumaraghuru, "Nash Equilibrium Solution of Trapezoidal FuzzyNumber in Bi-matrix Game," International Journal of Mathematics Trends and Technology (IJMTT), vol. 45, no. 2, pp. 90-94, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V45P515

Abstract

Bi-matrix game with symmetric trapezoidal pay -off is considered in this paper. At first trapezoidal number ranking method for such games is defined and then we define Nash equilibrium solution for pure strategies and mixed strategies. The inequality constraints involving trapezoidal co-efficient are reduced in their satisfactory crisp equivalent form and a satisfactory solution of the problem is established. Numerical example is given to illustrate the methodology.

Keywords

Symmetric trapezoidal number,Bi-Matrix game Nash equilibrium.

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