Li Shi - College of Mathematics and Statistics, Guizhou University, Guiyang, Guizhou, China
Yanlong Yang - College of Mathematics and statistics, Guizhou University, Guizhou, Guiyang , China

This article aims to research the multi-leader-follower games with fuzzy constraint mappings(MLFFGs), in which the feasible strategy mappings of the leaders are fuzzy mappings. By using the Fan-Glicksberg fixed point theorem, an existence theorem of equilibria for the MLFFGs under some conditions is obtained. Furthermore, with the assumption of finite rationality, we prove the stable results on the generalized well-posedness, the generalized Tykhonov well-posedness, and the generalized Hadamard well-posedness of fuzzy multi-leader-follower games.

Fuzzy constraint mapping, Multi-leader-follower game, Well-posedness