Distributed Nash equilibrium seeking: continuous-time control-theoretic approaches

• Main Authors: Hu, Guoqiang, Pang, Yipeng, Sun, Chao, Hong, Yiguang
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2022
• Subjects: Engineering::Electrical and electronic engineering; Wireless Communication; Memory Management
• Online Access: https://hdl.handle.net/10356/163369
• Institution: Nanyang Technological University

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').