抽象凸空间中广义模糊博弈的结构稳定性

The Structural Stability of Generalized Fuzzy Game in Abstract Convex Space

首先利用M模型的研究方法,在抽象凸空间中的广义模糊博弈平衡存在的前提下,构造参数空间,进而构造抽象理性或信息函数得到M0模型;然后证明了参数空间的完备性和信息函数或理性函数的下半连续性;最后由M模型的有关结果得到M0模型是结构稳定的,且对ε-平衡是鲁棒的.

Utilizing the method for the M model, under the existence of equilibrium of generalized fuzzy game in abstract convex space, we construct a parameter space, and obtain an M0 model by constructing abstract rationality or information function. Next, the completeness of the parameter space and the lower semi-continuity of the abstract information or rationality function are proved. Finally, the structural stability and robustness to e-equilibrium of the M0 model are obtained from the relative results of the M model.