Game theory, which studies the cooperation and conflict among multiple rational decision makers, called players, can be utilized to analyze a large class of engineering systems (for example, wireless communication networks and smart grids). A game usually consists of three components: the players; the players’ actions; and their objective functions, which the players try to either maximize (in which case the objective function is known as a utility or payoff function) or minimize (in which case the objective function is referred to as a cost or loss function). In general, the players’ objective functions are dependent on other players’ actions, which lead to the coupling between the players’ actions in the decision-making process. This article is concerned with static games, where the order of the players’ decisions is not important (see “Summary”).

中文翻译：

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分布式纳什均衡寻求：连续时间控制理论方法


博弈论研究多个理性决策者（称为参与者）之间的合作和冲突，可用于分析一大类工程系统（例如，无线通信网络和智能电网）。游戏通常由三个部分组成：玩家；玩家的行为；以及他们的目标函数，玩家试图最大化（在这种情况下，目标函数被称为效用或收益函数）或最小化（在这种情况下，目标函数被称为成本或损失函数）。一般来说，参与者的目标函数依赖于其他参与者的行为，这导致决策过程中参与者的行为之间存在耦合。本文涉及静态游戏，其中玩家决策的顺序并不重要（参见“摘要”）。