Bilevel Programs with Multiple Potential Reactions
Wang Qian · 系统科学与系统工程学报(英文版) · 1994
In this paper,we study linear bilevel programming without the assumption that the reaction set of the follower is a singleton.Several properties of the feasible region of the leader are presented.A new solution concept is introduced to deal with the uncertainty resulting from multiple potential reactions of the follower.To solve a bilevel program with multiple potential reactions,we propose,meadod to transform the original problem into a bilevel programming proproblem which can be solved by some known algorithms.