Characterization of Nash Equilibrium Strategy of a Two Person Non Zero Sum Games with Trapezoidal Fuzzy Payoffs

Characterization of Nash Equilibrium Strategy of a Two Person Non Zero Sum Games with Trapezoidal Fuzzy Payoffs

Authors

  • K. Selvakumari and C. Karthi

Keywords:

Fuzzy numbers, Bimatrix games, symmetric Bimatrix games, Nash Equilibrium, Trapezoidal Fuzzy number. I

Abstract

In this article, we have considered the Bimatrix game with symmetric trapezoidal
Pay-off’s and then we define Nash Equilibrium solution for pure and mixed strategies. We
extended the models of investigating Nash Equilibrium strategy of a two person Non zero
sum games with fuzzy payoff’s in trapezoidal fuzzy environment and also proposed the
methodology for the existence of equilibrium strategies. In addition to that, numerical
examples are presented to find Nash Equilibrium for the Bimatrix game.

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Published

30-07-2018
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