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arXiv · 2304.12793

A Semi-Decentralized Tikhonov-based Algorithm for Optimal Generalized Nash Equilibrium Selection

Emilio Benenati·Wicak Ananduta·Sergio Grammatico
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Abstract

To optimally select a generalized Nash equilibrium, in this paper, we propose a semi-decentralized algorithm based on a double-layer Tikhonov regularization method. Technically, we extend the Tikhonov method for equilibrium selection in non-generalized games to the generalized case by coupling it with the preconditioned forward-backward splitting, which guarantees linear convergence to the solutions of the inner layer problem and allows for a semi-decentralized implementation. We then establish a conceptual connection and draw a comparison between the proposed algorithm and the hybrid steepest descent method, the other known distributed framework for solving the selection problem.

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Emilio Benenati, Wicak Ananduta, Sergio Grammatico. 2023-04-25. A Semi-Decentralized Tikhonov-based Algorithm for Optimal Generalized Nash Equilibrium Selection. https://arxiv.org/abs/2304.12793

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