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
刊名	IEEE/CAA Journal of Automatica Sinica
	2024
卷号	11 期号:1 页码:103-112
关键词	Consensus distributed Nash equilibrium seeking projected gradient play quantized communication
ISSN号	2329-9266
DOI	10.1109/JAS.2022.105857
英文摘要	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.
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/54496]
专题	自动化研究所_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.