Existence of Equilibrium Solution for Multi-Leader–Follower Games with Fuzzy Goals and Parameters

Zhenli Liu (), Guoling Wang () and Guanghui Yang ()
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Zhenli Liu: Guizhou University
Guoling Wang: Guizhou University
Guanghui Yang: Guizhou University

Journal of Optimization Theory and Applications, 2024, vol. 200, issue 2, No 6, 585-601

Abstract: Abstract In this paper, we first propose the model of multi-leader–follower games with fuzzy goals involving fuzzy parameters and introduce its $$\alpha $$ α -FNS equilibrium. Next, we shift our attention to the existence of $$\alpha $$ α -FNS equilibrium and prove it by Kakutani’s fixed point theorem. Finally, we illustrate an example to show that the equilibrium existence result is valid.

Keywords: Fuzzy set; Multi-leader–follower game; $$\alpha $$ α -FNS equilibrium; 91A06; 91A07; 91A10 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10957-023-02340-y

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