The Continuous Opinion Dynamics On Spatial Networks (Deffuant Model On A Ring With Repelling Mechanism And Circular Opinions)

In recent years, using natural science methods to study complex phenomena and behaviors of social groups has aroused widespread interests. Opinion dynamics studies the evolution of opinion on complex networks by abstracting opinion propagation as a physical model and numerical simulation on complex networks. by means of computer programming. Opinion dynamics focus on opinions evolution, formation,and the process of reaching consensus. The opinion dynamics models include discrete opinion dynamic model and continuous opinion dynamic model. In this paper, the modified Deffuant continuous opinion dynamics model is studied on a ring network.We investigate a Deffuant model on a ring by introducing two modifications: the repelling mechanism and the circular opinions. The repelling mechanism drives the opinions of two individuals away from each other and the circular opinions are defined on a circle. We find that the repelling mechanism tends to polarize the opinions of adjacent individuals and the circular opinions bring up a new type of consensus in which all individuals take different opinions but the opinion difference between adjacent individuals tends to zero in the limit of the population size. In the Deffuant model with both repelling mechanism and the circular opinions, opinion dynamics depends on both the bounded confidence and the convergence rate. The interplay between the repelling mechanism and the circular opinion may give rise to time-dependent opinion dynamics.The research results have a certain significance for better understanding of the internal mechanism of the formation and evolution of opinion. It is also important to guide and control the spread of public opinion and to realize social consensus for the better decision-making and discussion of large-scale population.