Print Email Facebook Twitter A Semi-Decentralized Tikhonov-Based Algorithm for Optimal Generalized Nash Equilibrium Selection Title A Semi-Decentralized Tikhonov-Based Algorithm for Optimal Generalized Nash Equilibrium Selection Author Benenati, E. (TU Delft Team Sergio Grammatico) Ananduta, W. (TU Delft Team Sergio Grammatico) Grammatico, S. (TU Delft Team Sergio Grammatico; TU Delft Team Bart De Schutter) Date 2023 Abstract To optimally select a generalized Nash equilibrium, in this paper, we consider a semi-decentralized algorithm based on a double-layer Tikhonov regularization algorithm. Technically, we extend the Tikhonov method for equilibrium selection to generalized games. Next, we couple such an algorithm with the preconditioned forward-backward splitting, which guarantees linear convergence to a solution of the inner layer problem and allows for a semi-decentralized implementation. We then establish a conceptual connection and draw a comparison between the considered algorithm and the hybrid steepest descent method, the other known distributed approach for solving the equilibrium selection problem. To reference this document use: http://resolver.tudelft.nl/uuid:d7880aa7-63e5-454a-9808-f35c8b78b3c6 DOI https://doi.org/10.1109/CDC49753.2023.10383583 Publisher IEEE Embargo date 2024-07-19 ISBN 979-8-3503-0124-3 Source Proceedings of the 62nd IEEE Conference on Decision and Control (CDC 2023) Event 62nd IEEE Conference on Decision and Control, CDC 2023, 2023-12-13 → 2023-12-15, Singapore, Singapore Series Proceedings of the IEEE Conference on Decision and Control, 0743-1546 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 conference paper Rights © 2023 E. Benenati, W. Ananduta, S. Grammatico Files file embargo until 2024-07-19