Distributed Nash Equilibrium Seeking Strategies Under Quantized Communication

doi:10.1109/JAS.2022.105857

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	Distributed Nash Equilibrium Seeking Strategies Under Quantized Communication
	Maojiao Ye; Qing-Long Han; Lei Ding; Shengyuan Xu; Guobiao Jia
发表期刊	IEEE/CAA Journal of Automatica Sinica
ISSN	2329-9266
	2024
卷号	11 期号:1 页码:103-112
摘要	This paper is concerned with distributed Nash equilibrium seeking strategies under quantized communication. In the proposed seeking strategy, a projection operator is synthesized with a gradient search method to achieve the optimization of players’ objective functions while restricting their actions within required non-empty, convex and compact domains. In addition, a leader-following consensus protocol, in which quantized information flows are utilized, is employed for information sharing among players. More specifically, logarithmic quantizers and uniform quantizers are investigated under both undirected and connected communication graphs and strongly connected digraphs, respectively. Through Lyapunov stability analysis, it is shown that players’ actions can be steered to a neighborhood of the Nash equilibrium with logarithmic and uniform quantizers, and the quantified convergence error depends on the parameter of the quantizer for both undirected and directed cases. A numerical example is given to verify the theoretical results.
关键词	Consensus distributed Nash equilibrium seeking projected gradient play quantized communication
DOI	10.1109/JAS.2022.105857
引用统计
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/54496
专题	学术期刊_IEEE/CAA Journal of Automatica Sinica
推荐引用方式 GB/T 7714	Maojiao Ye,Qing-Long Han,Lei Ding,et al. Distributed Nash Equilibrium Seeking Strategies Under Quantized Communication[J]. IEEE/CAA Journal of Automatica Sinica,2024,11(1):103-112.
APA	Maojiao Ye,Qing-Long Han,Lei Ding,Shengyuan Xu,&Guobiao Jia.(2024).Distributed Nash Equilibrium Seeking Strategies Under Quantized Communication.IEEE/CAA Journal of Automatica Sinica,11(1),103-112.
MLA	Maojiao Ye,et al."Distributed Nash Equilibrium Seeking Strategies Under Quantized Communication".IEEE/CAA Journal of Automatica Sinica 11.1(2024):103-112.

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