求解一类含均衡约束的均衡问题OACSTPCD
SOLVING A CLASS OF EQUILIBRIUM PROBLEMS WITH EQUILIBRIUM CONSTRAINTS
本文研究一类含均衡约束的均衡问题(EPEC),求解其共用约束乘子成比例的正则稳定点,将此类EPEC转化为一个标准的含均衡约束的数学规划问题(MPEC)进行求解.并分析相似产品市场竞争中存在的此类博弈模型,将其按上述方法进行有效求解.
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.
李沛瑜
西南民族大学数学学院,四川成都 610041
数学
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
mathematical programs with equilibrium constraintsequilibrium problem with equilibrium constraintsnormalized stationarity
《数学杂志》 2024 (002)
95-106 / 12
Supported by the National Natural Science Foundation of China(11501476)and the Southwest Minzu University Research Startup Funds(RQD2021065).
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