Distributed GNE Seeking over Directed Graphs: A Scalar-State Variable Approach

Qianle Tao, Hongjie Pei, Yongfang Liu, Yu Zhao

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper explores distributed generalized Nash equilibrium (GNE) seeking problems for non-cooperation games over weight-unbalanced directed graphs.To address this issue, a new distributed GNE seeking framework is developed, where a scalar-state variable is introduced for each player.The scalar-state variable is designed by using local out-degree information and limited communications among neighbors, to compensate for the unbalance of the directed graphs.In addition, with the help of the scalar-state variable, the Lagrange multiplier and projection operator are further developed over directed graphs for addressing additional local constraint sets and the coupling equality constraint simultaneously.It is theoretically shown that the convergence of GNE can be guaranteed.Finally, a practical simulation verifies the effectiveness of the proposed algorithm.

Original languageEnglish
Title of host publicationProceedings of 2024 IEEE International Conference on Unmanned Systems, ICUS 2024
EditorsRong Song
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages386-391
Number of pages6
ISBN (Electronic)9798350384185
DOIs
StatePublished - 2024
Event2024 IEEE International Conference on Unmanned Systems, ICUS 2024 - Nanjing, China
Duration: 18 Oct 202420 Oct 2024

Publication series

NameProceedings of 2024 IEEE International Conference on Unmanned Systems, ICUS 2024

Conference

Conference2024 IEEE International Conference on Unmanned Systems, ICUS 2024
Country/TerritoryChina
CityNanjing
Period18/10/2420/10/24

Keywords

  • coupling constraint
  • directed graphs
  • GNE seeking
  • local constraint set

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