Distributed nash equilibrium seeking for heterogeneous second-order nonlinear noncooperative games with communication delays
Abstract This paper investigates the noncooperative game problems over weight-balanced digraphs with communication delays. Compared with existing noncooperative games, a class of noncooperative games that are more aligned with practical systems is discussed, where all agents have uncertain heterogen...
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| Format: | Article |
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Nature Portfolio
2025-01-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-86683-8 |
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| author | Rui Yu Li Li Qianyao Wang Xianchao Zhang Sixu Lu |
| author_facet | Rui Yu Li Li Qianyao Wang Xianchao Zhang Sixu Lu |
| author_sort | Rui Yu |
| collection | DOAJ |
| description | Abstract This paper investigates the noncooperative game problems over weight-balanced digraphs with communication delays. Compared with existing noncooperative games, a class of noncooperative games that are more aligned with practical systems is discussed, where all agents have uncertain heterogeneous second-order nonlinear dynamics. Then, considering two different types of communication delays, respectively slowly-varying communication delays and fast-varying communication delays, the distributed algorithm is designed to seek the Nash equilibrium (NE). By designing appropriate Lyapunov functions and constructing linear matrix inequalities, the designed algorithm has been proven to be effective, even though second-order nonlinear dynamics and communication delays increase the challenges of system convergence analysis. Furthermore, simulation cases are given to illustrate the validity of the designed algorithm. |
| format | Article |
| id | doaj-art-86ff703390f04b01ab06293768f44d98 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-86ff703390f04b01ab06293768f44d982025-01-26T12:29:59ZengNature PortfolioScientific Reports2045-23222025-01-0115111510.1038/s41598-025-86683-8Distributed nash equilibrium seeking for heterogeneous second-order nonlinear noncooperative games with communication delaysRui Yu0Li Li1Qianyao Wang2Xianchao Zhang3Sixu Lu4The Provincial Key Laboratory of Multimodal Perceiving and Intelligent Systems, Jiaxing UniversityDepartment of Control Science and Engineering, College of Electronics and Information Engineering, Tongji UniversityDepartment of Control Science and Engineering, College of Electronics and Information Engineering, Tongji UniversityThe Provincial Key Laboratory of Multimodal Perceiving and Intelligent Systems, Jiaxing UniversityThe Provincial Key Laboratory of Multimodal Perceiving and Intelligent Systems, Jiaxing UniversityAbstract This paper investigates the noncooperative game problems over weight-balanced digraphs with communication delays. Compared with existing noncooperative games, a class of noncooperative games that are more aligned with practical systems is discussed, where all agents have uncertain heterogeneous second-order nonlinear dynamics. Then, considering two different types of communication delays, respectively slowly-varying communication delays and fast-varying communication delays, the distributed algorithm is designed to seek the Nash equilibrium (NE). By designing appropriate Lyapunov functions and constructing linear matrix inequalities, the designed algorithm has been proven to be effective, even though second-order nonlinear dynamics and communication delays increase the challenges of system convergence analysis. Furthermore, simulation cases are given to illustrate the validity of the designed algorithm.https://doi.org/10.1038/s41598-025-86683-8Second-order nonlinear dynamicsNash equilibriumCommunication delaysNoncooperative games |
| spellingShingle | Rui Yu Li Li Qianyao Wang Xianchao Zhang Sixu Lu Distributed nash equilibrium seeking for heterogeneous second-order nonlinear noncooperative games with communication delays Scientific Reports Second-order nonlinear dynamics Nash equilibrium Communication delays Noncooperative games |
| title | Distributed nash equilibrium seeking for heterogeneous second-order nonlinear noncooperative games with communication delays |
| title_full | Distributed nash equilibrium seeking for heterogeneous second-order nonlinear noncooperative games with communication delays |
| title_fullStr | Distributed nash equilibrium seeking for heterogeneous second-order nonlinear noncooperative games with communication delays |
| title_full_unstemmed | Distributed nash equilibrium seeking for heterogeneous second-order nonlinear noncooperative games with communication delays |
| title_short | Distributed nash equilibrium seeking for heterogeneous second-order nonlinear noncooperative games with communication delays |
| title_sort | distributed nash equilibrium seeking for heterogeneous second order nonlinear noncooperative games with communication delays |
| topic | Second-order nonlinear dynamics Nash equilibrium Communication delays Noncooperative games |
| url | https://doi.org/10.1038/s41598-025-86683-8 |
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