Distributed Nash Equilibrium Seeking: Continuous-Time Control-Theoretic Approaches
Guoqiang Hu, Yipeng Pang, Chao Sun, Yiguang Hong · IEEE Control Systems · 2022
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”).