We expand the classical model of a two-player game by inserting fuzzy sets as payoff values in the game matrix. Players can thus formulate their payoff expectations with words instead of deciding on numerical entries of the matrix. In this way we count on the better verbal communication between players when designing the preliminaries of the game. The players can also assign powers-weights to their strategies to mark importance of all tactics introduced in the game. As a final result we expect to obtain samples of the players’ optimal strategies, which will follow the final results in order to preserve the profit of the game on the neutral level. We also intend to estimate fuzzy probabilities of adapting the optimal strategies to achieve the objective of the game.