Existence and stability of weakly Pareto-Nash equilibrium for generalized multiobjective multi-leader-follower games

摘要

In this paper, we mainly study a kind of generalized multiobjective multi-leader-follower games in Hausdorff topological spaces. We establish an existence theorem of weakly Pareto-Nash equilibrium for generalized multiobjective multi-leader-follower games. As a special case, we also obtain a sufficient condition on the existence theorem of Nash equilibrium for single-leader-multi-follower games. Moreover, we deduce some results on the generic stability of generalized multiobjective multi-leader-follower games by using the method of essential solutions.