Existence of $$\alpha $$ α -Robust Weak Nash Equilibria for Leader–Follower Population Games with Fuzzy Parameters

Guoling Wang (), Miao Wang (), Hui Yang (), Guanghui Yang () and Chun Wang ()
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Guoling Wang: Guizhou University
Miao Wang: Guizhou University
Hui Yang: Guizhou University
Guanghui Yang: Guizhou University
Chun Wang: Guizhou Open University

Journal of Optimization Theory and Applications, 2024, vol. 203, issue 3, No 22, 2739-2758

Abstract: Abstract This paper mainly studies the existence of $$\alpha $$ α -robust weak Nash equilibria for leader-follower population games with fuzzy parameters. First, $$\alpha $$ α -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.

Keywords: Leader–follower population games; Fuzzy parameters; Existence; $$\alpha $$ α -robust weak Nash equilibria; Set optimization; 91A10; 91A13; 03E72; 49K99 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10957-024-02534-y

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