Existence and well-posedness of equilibrium for multi-leader-follower games with fuzzy constraint mappings
Publish place: Iranian Journal of Fuzzy Systems، Vol: 21، Issue: 4
Publish Year: 1403
Type: Journal paper
Language: English
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Document National Code:
JR_IJFS-21-4_004
Index date: 24 September 2024
Existence and well-posedness of equilibrium for multi-leader-follower games with fuzzy constraint mappings 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.
Existence and well-posedness of equilibrium for multi-leader-follower games with fuzzy constraint mappings Keywords:
Existence and well-posedness of equilibrium for multi-leader-follower games with fuzzy constraint mappings authors
Li Shi
College of Mathematics and Statistics, Guizhou University, Guiyang, Guizhou, China
Yanlong Yang
College of Mathematics and statistics, Guizhou University, Guizhou, Guiyang , China
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