带不确定性参数约束的对策模型

GAME MODELS WITH UNCERTAINTY CONSTRAINT

针对不完全信息对策理论用对策参与人类型的概率分布描述对策中的不确定性问题 ,采用模糊参数刻划对策中策略空间及目标函数的不确定性 ,定义了新的均衡概念 ,并应用模糊测度理论给出了均衡解的充分必要条件以及与 Nash均衡的关系 .

In the game theory with incomplete information,the uncertainty was described by probability distribution of players types.In this paper the uncertainty in games is described with fuzzy parameters in strategic spaces and objectives.It gives new concepts of equilibria,necessary sufficient conditions and relationship with Nash equilibria using some results in the fuzzy measure theory.