Existence and well-posedness of equilibrium for multi-leader-follower games with fuzzy constraint mappings

Document Type : Research Paper

Authors

1 College of Mathematics and Statistics, Guizhou University, Guiyang, Guizhou, China

2 College of Mathematics and statistics, Guizhou University, Guizhou, Guiyang , China

Abstract

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.

Keywords

Main Subjects

References

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Iranian Journal of Fuzzy Systems
Volume 21, Issue 4
July and August 2024
Pages 49-59

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