Online Non-Convex Non-Cooperative Cluster-Based Games With Byzantine Resiliency in Decentralized Multi-Agent Systems

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Abstract

Decentralized multi-agent systems are well known for their ability to model complex systems, such as smart grids, autonomous vehicles, etc. Many decentralized multi-agent systems can be modeled as cluster-based non-cooperative games in which agents within a cluster have selfish interests different from those of agents in other clusters. In this paper, we consider a cluster-based non-cooperative game for multi-agent systems in the presence of Byzantine attacks. This is an area of research yet to be explored in non-cooperative games. Therefore, we propose a novel Byzantine-resilient online mirror descent-based decentralized Nash algorithm. We assume that the loss function is time-varying and non-convex. Also, the agents within each cluster form an unbalanced graph network. Our theoretical and simulation results show that the proposed algorithm is resilient against Byzantine attacks and computationally efficient.
Original languageEnglish
Pages (from-to)752-766
Number of pages15
JournalIEEE Transactions on Signal and Information Processing over Networks
Volume11
DOIs
StatePublished - Jan 1 2025

Keywords

  • Byzantine attacks
  • mirror descent
  • multi-agent systems
  • non-cooperative games
  • online learning

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