Existence of equilibrium points for multi-leader-follower games under uncertainty
Zhe Yang, PU Yong-jian · Kongzhi yu juece · 2012
Under the assumption that the domain of the undetermined parameters is known, the existence of equilibrium points for multi-leader-follower games under uncertainty is studied. On the basis of NS equilibrium for noncooperative games, equilibrium points for multi-leader-follower games under uncertainty are defined. Further, the existence theorem of equilibrium points for multi-leader-follower games under uncertainty is proved by using Fan-Glicksberg fixed point theorem. Finally, a numeric example illustrates the feasibility of the proposed method.