Mathematical economics

Mathematics

Multi-agent system

Nash equilibrium

Economic growth

Mathematical optimization

Artificial intelligence

Economics

Game theory

Convergence (economics)

Computer science

Sequential game

International Journal of Robust and Nonlinear Control

Summary This paper considers a consensus problem for hybrid multiagent systems, which comprise two groups of agents: a group of continuous‐time dynamic agents and a group of discrete‐time dynamic agents. Firstly, a game‐theoretic approach is adopted to model the interactions between the two groups of agents. To achieve consensus for the considered hybrid multiagent systems, the cost functions are designed. Moreover, it is shown that the designed game admits a unique Nash equilibrium. Secondly, sufficient/necessary conditions of solving consensus are established. Thirdly, we find that the convergence speed of the system depends on the game. By the mechanism design of the game, the convergence speed is increased. Finally, simulation examples are given to validate the effectiveness of the theoretical results.

Consensus analysis of hybrid multiagent systems: A game‐theoretic approach