Distributed Variational Equilibrium Seeking of Multi-coalition Game via Variational Inequality Approach. Issue 1 (July 2017)

• Record Type: Journal Article
• Authors: Zeng, Xianlin; Liang, Shu; Hong, Yiguang
• Is Part Of: IFAC-PapersOnLine. Volume 50:Issue 1(2017)
• Page Start: 940
• Page End: 945
• Publication Date: 2017-07
• Subjects: Distributed algorithms -- distributed variational equilibria -- variational inequalities -- multi-coalition games; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2017.08.120
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This paper studies the distributed variational equilibrium seeking problem for a class of multi-coalition non-cooperative games via a continuous-time algorithm. In the multi-coalition game, there are multiple coalitions and each coalition (a virtual player in the game) is composed of a set of agents, which are actual decision makers for their coalition and cooperate to minimize the coalition payoff function. To solve this problem, the variational equilibrium seeking problem for a multi-coalition game is first formulated as a distributed variational inequality problem. Then, a novel distributed projected continuous-time algorithm, which is in the form of a projected ordinary differential equation, is proposed to solve the distributed variational inequality. Finally, the algorithm is applied to a numerical example to show the efficacy of the proposed algorithm.