Nash equilibrium, as an essential strategic profile in game theory, is of both practical relevance and theoretical significance due to its wide penetration into various fields, such as smart grids, wireless communication networks, and networked mobile vehicles. In particular, distributed Nash equilibrium seeking strategies have recently attracted increasing attention because they show remarkable advantages in relaxing the requirement of a central node for information broadcasting or full observation of players’ actions. This article aims to provide a survey of distributed Nash equilibrium seeking in games with partial decision information, in which players can only exchange information with their neighbors and their objective functions may explicitly depend on all players’ actions. First, fundamental problem descriptions on distributed Nash equilibrium seeking are presented. Second, related results on distributed Nash equilibrium seeking in general multiplayer games, aggregative games, and multicluster games are reviewed, respectively, where representative continuous- and discrete-time methods are explained in detail. Third, two practical applications, including collaborative control for a network of mobile sensors and energy consumption control in smart grids, are provided to demonstrate the applicability of distributed Nash equilibrium seeking strategies. Finally, some promising directions are suggested for future research.

中文翻译：

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具有部分决策信息的博弈中的分布式纳什均衡寻求：一项调查

纳什均衡作为博弈论中一个重要的战略框架，广泛渗透到智能电网、无线通信网络、联网移动车辆等各个领域，具有重要的现实意义和理论意义。特别是分布式纳什均衡寻求策略最近受到越来越多的关注，因为它们在放宽中心节点对信息广播或对玩家行为的全面观察的要求方面表现出显着优势。本文旨在对具有部分决策信息的博弈中寻求分布式纳什均衡进行调查，其中玩家只能与邻居交换信息，其目标函数可能明确取决于所有玩家的行为。第一的，提出了分布式纳什均衡寻求的基本问题描述。其次，分别回顾了一般多人博弈、聚合博弈和多集群博弈中分布式纳什均衡寻求的相关结果，其中详细解释了代表性的连续时间和离散时间方法。第三，提供了两个实际应用，包括移动传感器网络的协同控制和智能电网中的能量消耗控制，以证明分布式纳什均衡寻求策略的适用性。最后，为未来的研究提出了一些有前途的方向。其中详细解释了代表性的连续时间和离散时间方法。第三，提供了两个实际应用，包括移动传感器网络的协同控制和智能电网中的能量消耗控制，以证明分布式纳什均衡寻求策略的适用性。最后，为未来的研究提出了一些有前途的方向。其中详细解释了代表性的连续时间和离散时间方法。第三，提供了两个实际应用，包括移动传感器网络的协同控制和智能电网中的能量消耗控制，以证明分布式纳什均衡寻求策略的适用性。最后，为未来的研究提出了一些有前途的方向。