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Distributed accelerated Nash equilibrium learning for two-subnetwork zero-sum game with bilinear coupling

Xianlin ZengLihua DouJinqiang Cui — 2023

Kybernetika

This paper proposes a distributed accelerated first-order continuous-time algorithm for O ( 1 / t 2 ) convergence to Nash equilibria in a class of two-subnetwork zero-sum games with bilinear couplings. First-order methods, which only use subgradients of functions, are frequently used in distributed/parallel algorithms for solving large-scale and big-data problems due to their simple structures. However, in the worst cases, first-order methods for two-subnetwork zero-sum games often have an asymptotic or O ( 1 / t ) convergence....

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