A nonsmooth Stackelberg equilibrium problem via mixed variational inequalities


 Lu, Jue, Zhou, Li-wen, Xiao, Yi-bin and Huang, Nan-jing


Abstract

carpathian_2019_35_3_339_347_abstract

In this paper, we introduce and study a class of nonsmooth Stackelberg equilibrium problems with differential revenue functions and nonsmooth cost functions. First, we describe the best response set of the follower and the best strategy set of the leader for the considered nonsmooth Stackelberg equilibrium problem via mixed variational inequalities. Then, by using the resolvent operator method and the Banach fixed point theorem, we show the existence and uniqueness of its solution.

Additional Information

Author(s)

 Lu, Jue, Zhou, Li-wen, Huang, Nan-jing, Xiao, Yi-bin