Robust Accelerated Dynamics for Subnetwork Bilinear Zero-Sum Games with Distributed Restarting
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908479998918656 |
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| author | Li, Weijian Pavel, Lacra Malikopoulos, Andreas A. |
| author_facet | Li, Weijian Pavel, Lacra Malikopoulos, Andreas A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_16835 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Robust Accelerated Dynamics for Subnetwork Bilinear Zero-Sum Games with Distributed Restarting Li, Weijian Pavel, Lacra Malikopoulos, Andreas A. Optimization and Control 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. |
| title | Robust Accelerated Dynamics for Subnetwork Bilinear Zero-Sum Games with Distributed Restarting |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2504.16835 |