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.
作者
曾静
彭家玉
Zeng Jing;Peng Jiayu(School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067)
出处
《数学物理学报（A辑）》
CSCD
北大核心
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)~~。
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
The excess demand equilibrium problem
Essential equilibrium solution
Essential set
Excess demand function
Hadamard well-posedness
