Analysis and Application of Weighted-Median Hegselmann-Krause Opinion Dynamics Model on Social Networks

In the classic Hegselmann-Krause (H-K) model, the greater the difference in individual opinions, the stronger the attractiveness, this is the unrealistic social phenomenon. In this paper, we propose a weighted-median H-K opinion dynamics model to capture the realistic social phenomenon. It is revealed that the proposed weighted-median H-K model is not affected by the stubborn individual. Furthermore, we apply our established weighted-median H-K model to the fake news claimed by US President Trump, it is shown that people do not believe the statement by Trump, which is in accord with the real situation. A numerical example is provided to demonstrate the effectiveness of the proposed the weighted-median H-K opinion dynamics model.