On Bipartite Consensus of Bounded Confidence Models for Opinion Dynamics

In this paper, the bipartite consensus problem is investigated for bounded confidence (BC) models. Different from the existing results concerning clustering characteristic of BC models, we investigate under which circumstances BC models can achieve bipartite consensus. About the classic BC model, we obtain a sufficient and necessary condition for bipartite consensus problem. For the signed BC model, several bipartite consensus criteria are obtained. The obtained criteria reveal that the dynamic of the signed BC model more dependents on the initial opinions. Finally, several examples are provided to illustrate the effectiveness of the obtained results.