A Game-Based Opinion Dynamics for Multi-Group

In this paper, the problem that aggregation of opinions for several individuals which are divided into two different subgroups is considered. Firstly, we establish a new model for the evolution of all individual opinions in the system. Moreover, it's shown that the designed game admits a unique Nash equilibrium. Secondly, by using matrix theory and game theory, we obtain the sufficient condition for the consensus of opinions with co-evolution over time and issues. Finally, simulation examples are given to validate the effectiveness of the theoretical results.