optimization problems with nonconvex multiobjective generalized nash equilibrium problem constraints

This work discusses a category of optimization problems in which the lower-level problems include multiobjective generalized nash equilibrium problems. despite the fact that it has various possible applications, there has been little research into it in the literature. we provide a single-level reformulation for these types of problems and highlight their equivalence in terms of global and local minimizers. our method consists of transforming our problem into a one-level optimization problem, utilizing the kth-objective weighted-constraint and optimal value reformulation. the mordukhovich generalized differentiation calculus is then used to derive completely detailed first-order necessary optimality conditions in the smooth setting.