一般经济均衡的本质稳定性及Hadamard适定性  

Essential Stability and Hadamard Well-Posedness of Excess Demand Equilibrium Problems

作　　者：曾静[1] 彭家玉 Zeng Jing;Peng Jiayu(School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067)

机构地区：[1]重庆工商大学数学与统计学院,重庆400067

出　　处：《数学物理学报（A辑）》2023年第3期930-938,共9页Acta Mathematica Scientia

基　　金：国家自然科学基金(12071251);山东省自然科学基金(ZR2020MA035)~~。

摘　　要：考虑有限维欧氏空间中的一般经济均衡问题.首先在超需映射和价格参数集均扰动的情况下,建立了一般经济均衡解映射半连续性与本质平衡解,本质集之间的关系.其次在Baire分类意义下,证明一般经济均衡是稳定的.最后,通过引入一个标量化函数来定义一个集合,得到一般经济均衡Hadamard适定性成立的充分性条件.In this paper,we considered the excess demand equilibrium problems in finite dimensional Euclidean spaces.Firstly,the relationship among the semicontinuity of solution mapping,the essential equilibrium solution and the essential set is established,when both the excess demand mapping and the price parameter set are disturbed.Secondly,it is proved that the excess demand equilibrium problems is stable in the sense of Baire classification.Finally,taking advantage of a set defined by a scalar function,sufficient conditions of Hadamard well-posedness of the excess demand equilibrium problems are obtained.

关 键 词：一般经济均衡问题 本质平衡解 本质集 超需映射 Hadamard适定性 

分 类 号：O224[理学—运筹学与控制论]