有限理性下广义多目标多主多从博弈受控系统解的稳定性

Stability of Solutions for Controlled Systems of Generalized Multiobjective Multi-Leader-Follower Games Under Bounded Rationality

该文在有限理性条件下,构建了一类新的广义多目标多主多从博弈受控系统,并给出了该博弈受控系统解的存在性条件.进一步,利用非线性标量化方法构造了适当的理性函数,并证明了该模型是结构稳定的,同时对ε-平衡也是鲁棒的,即在Baire分类意义下,大多数广义多目标多主多从博弈受控系统问题都是稳定的,表明在一定条件下该模型的精确解可用有限理性条件下的近似解逼近.

In this paper,the stability of solutions for controlled systems of generalized multiobjective multi-leader-follower games is studied under the framework of bounded rationality.We construct an appropriate rational function by the nonlinear scalarization method,and prove that the model is structurally stable and robust toε-equilibrium.This means that most of the problems for controlled systems of generalized multiobjective multi-leader-follower games are stable on the meaning of Baire category,and also shows that,under certain conditions,the problem model can be approximated to complete rationality by bounded rationality.