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
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)