一类多个下层的双层规划问题
A CLASS OF BILEVEL PROGRAMES WITH MULTI-LOWERS

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.
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