Affiliation:
1. School of Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, P. R. China
2. School of Mathematical Sciences, CMA-Shanghai and MOE-LSC, Shanghai Jiao Tong University, Shanghai 200240, P. R. China
Abstract
In this paper, we study a kinetic modeling of opinion formation on social networks in which the distribution function depends on both the opinion and the connectivity of the agents. The opinion exchange process is governed by a Sznajd-type model with three opinions, [Formula: see text], 0, and the social network is represented statistically with connectivity denoting the number of contacts of a given individual. It is commonly accepted that, in social networks, the opinion of the agents with a higher connectivity, i.e. a larger number of followers, is more convincing than that of the agents with a lower number of followers. By the kinetic modeling approach, we derived the asymptotic mean opinion of a social network in terms of the initial opinion and the connectivity of the agents. The present work extends the result in [N. Loy, M. Raviola and A. Tosin, Opinion polarisation in social networks, Phil. Trans. R. Soc. A 380, 20210158 (2021)] where only binary opinions, [Formula: see text], were considered, that indecisive people who cannot make a clear choice between [Formula: see text] are allowed in this study.
Funder
National Natural Science Foundation of China
Shanghai Science and Technology Innovation Action Plan
Publisher
World Scientific Pub Co Pte Ltd
Cited by
1 articles.
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1. PHYSICAL ANALYSIS OF SOCIAL DYNAMICS: A SOCIOPHYSICS PERSPECTIVE;Scientific Journal of Mehmet Akif Ersoy University;2024-06-30