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A global optimization method for the stackelberg problem with convex functions via problem transformation and concave programming

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2 Author(s)
Shimizu, Kiyotaka ; Faculty of Science and Technology, Keio University, Yokohama 223, Japan ; Lu, Min

A global optimization method is proposed for solving the Stackelberg problem through problem transformation and concave programming. The proposed method is applicable to a broad class of the Stackelberg problem, in which each function in upper-level is convex or a difference of two convex functions, and that in lower-level is convex.

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Systems, Man and Cybernetics, IEEE Transactions on  (Volume:25 ,  Issue: 12 )