On solving bimatrix games with triangular fuzzy payoffs

Abstract

The aim of this paper is to introduce the concept of bimatrix fuzzy games. The fuzzy games are defined by payoff matrices constructed using triangular fuzzy numbers. The bimatrix fuzzy game discussed in this paper is different from the one given by Maeda and Cunlin in respect that it is not a zero-sum game and two different payoff matrices are provided for the two players. Three kinds of Nash equilibriums are introduced for fuzzy games, and their existence conditions are studied. A solution method for bimatrix fuzzy games is given using crisp parametric bimatrix games. Finally, a numerical example is discussed to support the model described in the paper. © Springer Nature Singapore Pte Ltd. 2018.