Convergence and Disagreement Analysis of Opinion Dynamics

Recently, opinion dynamics have drawn much attention with mathematical and simulation analysis. In this paper, we propose a second-order opinion model composed of stubborn agents and regular agents as well as internal opinion dynamics. We first consider the opinion evolution and fluctuation analysis, and then obtain that the steady-state expectation value of the regular agents, which depend on the interaction topology and the stubborn agents, though the regular agents keep fluctuating. Then we also give an estimation of disagreement for the regular agents based on variance for this opinion dynamics model.