TY - JOUR
T1 - A Real Coded Genetic Algorithm to Entropy Bimatrix Game: Fuzzy Programming Technique
AU - Sankar Kumar Roy and Chandan Bikash Das
JO - Journal of Information and Computing Science
VL - 4
SP - 243
EP - 252
PY - 2024
DA - 2024/01
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22631.html
KW - Bimatrix Game, Nash Equilibrium, Entropy, Fuzzy Programming, GA. 

AB -  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.