A Real Coded Genetic Algorithm to Entropy Bimatrix Game: Fuzzy Programming Technique

Abstract

Here, we propose a mathematical model to analyze bimatrix game under entropy environment. In this new approach, the entropy function for each player are considered as objectives to the bimatrix game. This formulated model is named as Entropy Bimatrix Game Model which is a multi-objective non linear problem. To solve this kind of model, we have introduced a new solution technique, which determines the feasibility of fuzzy multiobjective non linear programming via a revised Genetic Algorithm (GA). By a real coded Genetic Algorithm, we obtained the bounds of objectives of said model and then applied fuzzy programming to determine the Nash equilibrium solution. To illustrate the methodology, numerical examples are included.