Affiliation:
1. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China
2. Department of Physics, Fuzhou University, Fuzhou 350108, China
3. Institute of Technical Physics and Materials Science, Centre for Energy Research, P.O. Box 49, H-1525 Budapest, Hungary
Abstract
Opinion dynamics on social networks have received considerable attentions in recent years. Nevertheless, just a few works have theoretically analyzed the condition in which a certain opinion can spread in the whole structured population. In this article, we propose an evolutionary game approach for a binary opinion model to explore the conditions for an opinion’s spreading. Inspired by real-life observations, we assume that an agent’s choice to select an opinion is not random but is based on a score rooted from both public knowledge and the interactions with neighbors. By means of coalescing random walks, we obtain a condition in which opinion [Formula: see text] can be favored to spread on social networks in the weak selection limit. We find that the successfully spreading condition of opinion [Formula: see text] is closely related to the basic scores of binary opinions, the feedback scores on opinion interactions, and the structural parameters including the edge weights, the weighted degrees of vertices, and the average degree of the network. In particular, when individuals adjust their opinions based solely on the public information, the vitality of opinion [Formula: see text] depends exclusively on the difference of basic scores of [Formula: see text] and [Formula: see text]. When there are no negative (positive) feedback interactions between connected individuals, we find that the success of opinion [Formula: see text] depends on the ratio of the obtained positive (negative) feedback scores of competing opinions. To complete our study, we perform computer simulations on fully connected, small-world, and scale-free networks, respectively, which support and confirm our theoretical findings.
Funder
National Natural Science Foundation of China
the Fundamental Research Funds of the Central Universities of China
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献