Method of Fuzzy Analysis on Game with Uncertain Payoff

The risk and expected payoff of players were analyzed with fuzzy comprehensive evaluation. The Nash equilibrium of the game was obtained with the classical game theory based on the fuzzy comprehensive evaluation results. An example was presented, in which the method was employed to compute the equilibrium. The result shows high income with high risk and low income with low risk, which is consistent with the reality, and verifies the feasibility of the proposed method.