Existence of α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document}-Robust Weak Nash Equilibria for Leader–Follower Population Games with Fuzzy Parameters

This paper mainly studies the existence of α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document}-robust weak Nash equilibria for leader-follower population games with fuzzy parameters. First, α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document}-robust weak Nash equilibria for population games with fuzzy parameters are defined based on u-type set relations and their existence is proved by Fan-Glicksberg fixed theorem. Second, such equilibrium solutions are further proposed for leader-follower population games with fuzzy parameters and their existence is further shown. Finally, four examples are constructed to illustrate their feasibility, respectively. Our results are new and different from the existing ones.