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求解一类含均衡约束的均衡问题

李沛瑜

数学杂志2024,Vol.44Issue(2):95-106,12.
数学杂志2024,Vol.44Issue(2):95-106,12.

求解一类含均衡约束的均衡问题

SOLVING A CLASS OF EQUILIBRIUM PROBLEMS WITH EQUILIBRIUM CONSTRAINTS

李沛瑜1

作者信息

  • 1. 西南民族大学数学学院,四川成都 610041
  • 折叠

摘要

Abstract

In this paper,we particularly consider a class of equilibrium problems with equi-librium constraints(EPEC)and solve its normalized stationary points where the multipliers of the leaders on the shared constraints are proportionable.We reformulate this kind of EPEC to a stan-dard mathematical program with equilibrium constraints(MPEC).In addition,we demonstrate the proposed approach on an EPEC model in similar products market.

关键词

含均衡约束的数学规划/含均衡约束的均衡问题/正则稳定点

Key words

mathematical programs with equilibrium constraints/equilibrium problem with equilibrium constraints/normalized stationarity

分类

数理科学

引用本文复制引用

李沛瑜..求解一类含均衡约束的均衡问题[J].数学杂志,2024,44(2):95-106,12.

基金项目

Supported by the National Natural Science Foundation of China(11501476)and the Southwest Minzu University Research Startup Funds(RQD2021065). (11501476)

数学杂志

OACSTPCD

0255-7797

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