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