Effects of connectivity on the performance of a Trust-Distrust opinion dynamics model in regular networks

While typical opinion dynamics studies consider positive connectivity between individuals, the real society tells us that there are inverse effects on persuasion with respect to communication. A previous study focusing on this point proposes a Trust-Distrust model to deal with negative relationship between individuals. Although the study shows that the rate of positive relationship over all relationship has a critical effect on the convergence of opinions, it considers some types of network structure only. Here, we analyze the dynamics in regular networks. Our simulation shows that the convergence depends on the connecting degree of the network, and the higher the degree, the clearer the convergence threshold.