Robust Accelerated Dynamics for Subnetwork Bilinear Zero-Sum Games with Distributed Restarting

Weijian Li; Lacra Pavel; Andreas A. Malikopoulos

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arXiv · 2504.16835

Robust Accelerated Dynamics for Subnetwork Bilinear Zero-Sum Games with Distributed Restarting

Weijian Li·Lacra Pavel·Andreas A. Malikopoulos

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Abstract

In this paper, we investigate distributed Nash equilibrium seeking for a class of two-subnetwork zero-sum games characterized by bilinear coupling. We present a distributed primal-dual accelerated mirror-descent algorithm with convergence guarantees. However, we demonstrate that this time-varying algorithm is not robust, as it fails to converge under arbitrarily small disturbances. To address this limitation, we introduce a distributed accelerated algorithm that incorporates a coordinated restarting mechanism. We model this new algorithm as a hybrid dynamical system and establish its structural robustness.

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BibTeX RIS

Weijian Li, Lacra Pavel, Andreas A. Malikopoulos. 2025-04-23. Robust Accelerated Dynamics for Subnetwork Bilinear Zero-Sum Games with Distributed Restarting. https://arxiv.org/abs/2504.16835

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