Kinetic modeling of a Sznajd opinion model on social networks

Author:

Liao Jie1ORCID,Yang Xiongfeng2ORCID

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. 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

1. PHYSICAL ANALYSIS OF SOCIAL DYNAMICS: A SOCIOPHYSICS PERSPECTIVE;Scientific Journal of Mehmet Akif Ersoy University;2024-06-30

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