We expand the classical model of a two-player game to select the best strategies, whose action is expected to maintain the values of a certain variable on the neutral level. By inserting fuzzy sets as payoff values in the game matrix we facilitate the procedure of formulations of payoff expectations by players. Instead of making difficult decisions about the choice of accurate numerical entries of the matrix the players are able to use words, which should simplify a communication between them when designing the preliminaries of the game. The players also have the possibility of making a ranking of their favorite strategies.