Fuzzily Constrained Games

In real life, games are often played in contexts. So, when a player of a game chooses a strategy, it should consider not only the material or money payoff from taking the strategy and others´ best response but also how feasible to take the strategy in the specific context where the game is played. To solve such a game, this paper establishes a model of fuzzily constrained games and introduces a solution concept of constrained equilibrium for the games of this kind. Our model can reflect the outcome of altruistic behavior and predict the outcome of a game played under fuzzy constraints precisely. Finally, we discuss what will happen if Prisoner´s Dilemma and Stag Hunt are played under fuzzy constraints.