Print Email Facebook Twitter Fully distributed Nash equilibrium seeking over time-varying communication networks with linear convergence rate Title Fully distributed Nash equilibrium seeking over time-varying communication networks with linear convergence rate Author Bianchi, M. (TU Delft Team Bart De Schutter) Grammatico, S. (TU Delft Team Bart De Schutter) Date 2021 Abstract We design a distributed algorithm for learning Nash equilibria over time-varying communication networks in a partial-decision information scenario, where each agent can access its own cost function and local feasible set, but can only observe the actions of some neighbors. Our algorithm is based on projected pseudo-gradient dynamics, augmented with consensual terms. Under strong monotonicity and Lipschitz continuity of the game mapping, we provide a simple proof of linear convergence, based on a contractivity property of the iterates. Compared to similar solutions proposed in literature, we also allow for time-varying communication and derive tighter bounds on the step sizes that ensure convergence. In fact, in our numerical simulations, our algorithm outperforms the existing gradient-based methods, when the step sizes are set to their theoretical upper bounds. Finally, to relax the assumptions on the network structure, we propose a different pseudo-gradient algorithm, which is guaranteed to converge on time-varying balanced directed graphs. Subject Game theoryoptimization algorithmsnetworked control systems To reference this document use: http://resolver.tudelft.nl/uuid:5a9fde8f-c549-4a44-adf7-8f58976b89ab DOI https://doi.org/10.1109/LCSYS.2020.3002734 Embargo date 2020-12-16 ISSN 2475-1456 Source IEEE Control Systems Letters, 5 (2), 499-504 Bibliographical note Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. Part of collection Institutional Repository Document type journal article Rights © 2021 M. Bianchi, S. Grammatico Files PDF 09119080_1.pdf 860.65 KB Close viewer /islandora/object/uuid:5a9fde8f-c549-4a44-adf7-8f58976b89ab/datastream/OBJ/view