This paper investigates the Nash equilibrium seeking problem among networked multi-player game over directed and switching topologies. To this end, a fully distributive gain adaptation strategy is proposed to make sure all players are updated without global information or initialization, and it is proved rigorously that the proposed scheme works well under a switching digraph and admits global convergence to the Nash equilibrium.

中文翻译：

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具有增益自适应的切换拓扑上的连续时间分布式 Nash 策略

本文研究了在有向和切换拓扑上的网络多人游戏中的纳什均衡寻求问题。为此，提出了一种完全分配的增益适应策略，以确保所有参与者在没有全局信息或初始化的情况下更新，并且严格证明了所提出的方案在切换有向图下运行良好，并允许全局收敛到纳什均衡。