Modeling and Analysis of Competitive Behavior in Social Systems

Abstract

A new competition model is developed in this article, which aims to describe the competitive behavior in social systems. Taking social networks as an example, the constructed model describes the development speed of each opinion, its attractiveness to people, and the influence of the social environment on its development. The final result is that a certain number of opinions win the competition and are implemented. Specifically, we define various components of social networks as some parameters, and use changes in parameters to describe the dynamic changes of opinions. Furthermore, this article proves the stability and convergence of the constructed competition model in theory. A series of simulation experiments are conducted to simulate competitive activities in real life, and application scenarios suitable for the model are provided in this work.