Consensus analysis of a long-range opinion model with a small confidence bound

In this paper, we propose a bounded-confidence opinion model and focus on the study of the opinion consensus probability based on long-range opinion interactions. In this model, each agent updates its opinion using some agents' opinion values according to its confidence bound. We provide a lower bound of the opinion consensus probability when the confidence bound is sufficiently small. Also, we give discussion and simulation examples for the opinion evolution along with some adjustable parameters.