有限理性与图像拓扑下不动点的稳定性

Bounded Rationality and Stability of Fixed Points in the Sense of Graph Topology

本文利用集值映射图像之间的Hausdorff距离定义了度量,在图像拓扑意义下,将有限理性应用到上半连续集值映射的不动点问题,证明了大多数的不动点问题(Baire分类的意义下)都是结构稳定的,对ε-平衡也是鲁棒的。

A metric was defined by using the Hausdorff distance of graphs of set-value mappings, and the bound- ed rationality was applied to fixed point of upper-continuous set-valued mappings in the sense of graph topology. And it is proven that the most of fixed point problems （ in the sense of Baire） are structurally stable and robust to- equilibrium.