TITLE:
Kinetic Modeling of an Opinion Model on Social Networks
AUTHORS:
Hanxiao He
KEYWORDS:
Kinetic Model, Social Network, Connectivity, Mean Opinion
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.6,
June
6,
2023
ABSTRACT: It is commonly accepted that, on social networks, the opinion of the agents with a higher connectivity, i.e., a larger number of followers, results in more convincing than that of the agents with a lower number of followers. By kinetic modeling approach, a kinetic model of opinion formation on social networks is derived, 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, ±1, 0, and the social network is represented statistically with connectivity denoting the number of contacts of a given individual. The asymptotic mean opinion of a social network is determined in terms of the initial opinion and the connectivity of the agents.