| 摘要: |
| 本文研究了一类多个下层的双层规划问题.利用文[1]有关理论与方法，获得了该类多下层双层规划问题与一类广义纳什均衡问题的联系，然后通过寻找该广义纳什均衡问题的均衡点求解该双层规划问题.同时给出了一种求解此类广义纳什均衡问题的算法，并进行了一定的理论分析与数值计算. |
| 关键词: 双层规划 广义纳什均衡 |
| DOI： |
| 分类号:O221.2 |
| 基金项目:国家自然科学基金资助（71471140）. |
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| A CLASS OF BILEVEL PROGRAMES WITH MULTI-LOWERS |
|
HU Jin1, WU Guo-min2
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1.School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;2.Department of Mathematics and Physics, Beijing Institute of Petrochemical Technology, Beijing 102617, China
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| Abstract: |
| In this paper, we study a class of bilevel programes with multi-lowers, and make contact with a class of GNEP in the help of article[1]. By finding the equilibrium of the GNEP, we can solve the bilevel programe. At the same time, we modify the algorithm of article[1] and prove some properties of it. |
| Key words: bilevel programes GNEP |
