heuristic solutions for interval-valued games

when we design the payoff matrix of a game on the basis of the available information, then rarely the information is free from impreciseness, and as a result, the payoffs of the payoff matrix have a certain amount of ambiguity associated with them. in this work, we have developed a heuristic technique to solve two persons 𝑚 × 𝑛 zero-sum games (𝑚 2, 𝑛 2), with interval-valued payoffs and interval-valued objectives. thus the game has been formulated by representing the impreciseness of the payoffs with interval numbers. to solve the game, a real coded genetic algorithm with interval fitness function, tournament selection, uniform crossover, and uniform mutation has been developed. finally, our proposed technique hasbeen demonstrated with a few examples and sensitivity analyses with respect to the genetic algorithm parameters have been done graphically to study the stability of our algorithm.