一般经济均衡的本质稳定性及Hadamard适定性

Abstract

Abstract:

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.

Key words: The excess demand equilibrium problem, Essential equilibrium solution, Essential set, Excess demand function, Hadamard well-posedness

CLC Number:

O224

Zeng Jing,Peng Jiayu. Essential Stability and Hadamard Well-Posedness of Excess Demand Equilibrium Problems[J].Acta mathematica scientia,Series A, 2023, 43(3): 930-938.

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

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