@article{Li2023, 
author = {Wen Li and Deyi Li and Yuqiang Feng and Du Zou},
title = {Existence and stability of fuzzy Pareto-Nash equilibria for fuzzy constrained multi-objective games with fuzzy payoffs},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {7},
pages = {15907-15931},
keywords = {fuzzy constrained multi-objective game, fuzzy payoff, fuzzy Pareto-Nash equilibrium, bounded rationality, structural stability, robustness},
url = {https://www.sciopen.com/article/10.3934/math.2023812},
doi = {10.3934/math.2023812},
abstract = {A new class of fuzzy constrained multi-objective games with fuzzy payoffs (FCMGFPs) is considered in this paper. First, Berge's maximum theorem for the fuzzy-vector-valued function is obtained. Based on this theorem and the Fan-Glicksberg fixed point theorem, the existence theorem of the fuzzy Pareto-Nash equilibrium for the FCMGFP is established. Second, the abstract rationality function for the FCMGFP is given by using a nonlinear scalarization function of interval vectors. Finally, a series of results, such as structural stability (   (  γ  ,  ϵ  )-stability) and robustness to    ϵ-equilibrium (   (  γ  ,  ϵ  )-robustness), are obtained.}
}