Existence of equilibrium solution for leader-follower games with fuzzy goals and parameters

Abstract

Firstly, we propose the model of single-leader-multi-follower games with fuzzy goals involving fuzzy parameters and introduce its α-FNS equilibrium. Next, we prove the existence of α-FNS equilibrium by Kakutani's fixed point theorem. Finally, we illustrate an example to show that the equilibrium existence result is reasonable.