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摘要: |
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. |
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 |
DOI: |
分类号:O22 |
基金项目: |
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SOLVING A CLASS OF EQUILIBRIUM PROBLEMS WITH EQUILIBRIUM CONSTRAINTS |
LI Pei-yu
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Abstract: |
In this paper, we particularly consider a class of equilibrium problems with equilibrium 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 standard mathematical program with equilibrium constraints(MPEC). In addition, we demonstrate the proposed approach on an EPEC model in similar products market. |
Key words: mathematical programs with equilibrium constraints equilibrium problem with equilibrium constraints normalized stationarity |