Fuzzy Goals and Sets of Choices in Two-Person Games

The greatest attention of researchers in game theory is attracted by two principles of rational behavior: the principle of maximum guaranteed result due to Germeyer, and the principle based on the concept of equilibrium due to Nash. In this paper games are analyzed in which the players’ goals and sets of choices are formulated as fuzzy subsets of the respective spaces, and the application of both the above principles is analyzed. The presentation is limited to two-person games, however, many of the results obtained can be extended to games with greater number of participants.