Distributed Nash Equilibrium Seeking Strategies Under Quantized Communication

作     者：Maojiao Ye Qing-Long Han Lei Ding Shengyuan Xu Guobiao Jia Maojiao Ye;Qing-Long Han;Lei Ding;Shengyuan Xu;Guobiao Jia

作者机构：IEEE the School of AutomationNanjing University of Science and TechnologyNanjing 210094China the School of ScienceComputing and Engineering TechnologiesSwinburne University of TechnologyMelbourne VIC 3122Australia the Institute of Advanced TechnologyNanjing University of Posts and TelecommunicationsNanjing 210023China 

出 版 物：《IEEE/CAA Journal of Automatica Sinica》 (自动化学报（英文版）)

年 卷 期：2024年第11卷第1期

页      面：103-112页

核心收录：

学科分类：0810[工学-信息与通信工程] 12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 081104[工学-模式识别与智能系统] 08[工学] 081001[工学-通信与信息系统] 0835[工学-软件工程] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China (NSFC)(62222308, 62173181, 62073171, 62221004) the Natural Science Foundation of Jiangsu Province (BK20200744, BK20220139) Jiangsu Specially-Appointed Professor (RK043STP19001) the Young Elite Scientists Sponsorship Program by CAST (2021QNRC001) 1311 Talent Plan of Nanjing University of Posts and Telecommunications the Fundamental Research Funds for the Central Universities (30920032203) 

主　　题：Consensus distributed Nash equilibrium seeking projected gradient play quantized communication 

摘      要：This paper is concerned with distributed Nash equi librium seeking strategies under quantized communication. In the proposed seeking strategy, a projection operator is synthesized with a gradient search method to achieve the optimization o 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 informa tion 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, respec tively. Through Lyapunov stability analysis, it is shown that play ers actions can be steered to a neighborhood of the Nash equilib rium with logarithmic and uniform quantizers, and the quanti fied convergence error depends on the parameter of the quan tizer for both undirected and directed cases. A numerical exam ple is given to verify the theoretical results.