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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2025  > In Press, Accepted Manuscript
H. Li, J. Li, L. Ran, L. Zheng, and T. Huang, “A survey of distributed algorithms for aggregative games,” IEEE/CAA J. Autom. Sinica, 2025. doi: 10.1109/JAS.2024.124998
Citation: H. Li, J. Li, L. Ran, L. Zheng, and T. Huang, “A survey of distributed algorithms for aggregative games,” IEEE/CAA J. Autom. Sinica, 2025. doi: 10.1109/JAS.2024.124998
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A Survey of Distributed Algorithms for Aggregative Games

doi: 10.1109/JAS.2024.124998
Funds:  This work was supported in part by the Fundamental Research Funds for the Central Universities (SWU-XDJH202312), the National Natural Science Foundation of China (62173278), and by the Chongqing Science Fund for Distinguished Young Scholars (2024NSCQ-JQX0103)
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    Abstract
  • Game theory-based models and design tools have gained substantial prominence for controlling and optimizing behavior within distributed engineering systems due to the inherent distribution of decisions among individuals. In non-cooperative settings, aggregative games serve as a mathematical framework model for the interdependent optimal decision-making problem among a group of non-cooperative players. In such scenarios, each player’s decision is influenced by an aggregation of all players’ decisions. Nash equilibrium (NE) seeking in aggregative games has emerged as a vibrant topic driven by applications that harness the aggregation property. This paper presents a comprehensive overview of the current research on aggregative games with a focus on communication topology. A systematic classification is conducted on distributed algorithm research based on communication topologies such as undirected networks, directed networks, and time-varying networks. Furthermore, it sorts out the challenges and compares the algorithms’ convergence performance. It also delves into real-world applications of distributed optimization techniques grounded in aggregative games. Finally, it proposes several challenges that can guide future research directions.

     

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