Study of Optimality Strategies for Two-Person Game Model Under Interval Uncertainty

Game theory is a useful tool to deal with real-world problems of a conflicting nature. We may not ignore the uncertainty in real-world problems due to the vagueness of the data set for the problem. Therefore, this paper investigates a two-player zero-sum game (a matrix game) with uncertain payoffs to determine the optimal value of the game and the players’ optimal mixed strategies. Further, we develop the solution concept to achieve the goal using a bi-objective programming problem. Furthermore, real-world problems are successfully applied to the developed approach in an uncertain environment.