{"title":"基于代理函数的非合作非凸对策的分布式广义纳什均衡寻求方法","authors":"Yuexin Liu , Jie Zhong , Yan Wang , Wenyin Xu","doi":"10.1016/j.sysconle.2025.106251","DOIUrl":null,"url":null,"abstract":"<div><div>This paper addresses distributed generalized Nash equilibrium seeking in noncooperative nonconvex games, where the decisions of players are subject to coupled nonconvex constraints and bound constraints. To address the limitations of existing approaches that either cannot handle bound constraints or require external augmentation terms (which incur high computational costs), a multi-agent system based on surrogate functions for nonconvex games is proposed. The convergence of the multi-agent system to a local variational generalized Nash equilibrium is proven. To demonstrate the effectiveness of the proposed multi-agent system, three numerical examples are presented to validate the main theoretical results.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"205 ","pages":"Article 106251"},"PeriodicalIF":2.5000,"publicationDate":"2025-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Distributed generalized Nash equilibrium seeking approach via surrogate functions for noncooperative nonconvex games\",\"authors\":\"Yuexin Liu , Jie Zhong , Yan Wang , Wenyin Xu\",\"doi\":\"10.1016/j.sysconle.2025.106251\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper addresses distributed generalized Nash equilibrium seeking in noncooperative nonconvex games, where the decisions of players are subject to coupled nonconvex constraints and bound constraints. To address the limitations of existing approaches that either cannot handle bound constraints or require external augmentation terms (which incur high computational costs), a multi-agent system based on surrogate functions for nonconvex games is proposed. The convergence of the multi-agent system to a local variational generalized Nash equilibrium is proven. To demonstrate the effectiveness of the proposed multi-agent system, three numerical examples are presented to validate the main theoretical results.</div></div>\",\"PeriodicalId\":49450,\"journal\":{\"name\":\"Systems & Control Letters\",\"volume\":\"205 \",\"pages\":\"Article 106251\"},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2025-09-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Systems & Control Letters\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0167691125002336\",\"RegionNum\":3,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Systems & Control Letters","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167691125002336","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
Distributed generalized Nash equilibrium seeking approach via surrogate functions for noncooperative nonconvex games
This paper addresses distributed generalized Nash equilibrium seeking in noncooperative nonconvex games, where the decisions of players are subject to coupled nonconvex constraints and bound constraints. To address the limitations of existing approaches that either cannot handle bound constraints or require external augmentation terms (which incur high computational costs), a multi-agent system based on surrogate functions for nonconvex games is proposed. The convergence of the multi-agent system to a local variational generalized Nash equilibrium is proven. To demonstrate the effectiveness of the proposed multi-agent system, three numerical examples are presented to validate the main theoretical results.
期刊介绍:
Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.