Analysis And Application Of Opinion Dynamics Model Based On Weighted Median

There has been a great deal of interest in exploring the phenomenon and behavior of social clusters,especially the study of social group opinions.On the other hand,the scholars are committed to establishing simple and easy to analyze mathematical models for studying the evolution of group opinions.Within the framework of cognitive dissonance theory,we rethink existing opinion dynamics models from a microscopic perspective,and use a weighted-median mechanism to remodel opinion dynamics model.The main research content of this thesis is as follows:The classic Hegselmann-Krause(H-K)model assumes that the greater the difference in individual opinions,the stronger the attraction,which is an unrealistic social phenomenon.To address the unrealistic implication,we propose weighted-median based H-K opinion dynamics model to investigate the convergence and consensus of group opinions.The established opinion dynamics model is used to study the effect of fake news that COVID-19 can be treated by injecting disinfectants in the body on group opinion,and the results showed that group opinion is not affected by fake news.In order to consider the opinion evolution of individuals under the influence of social pressure,we establish a weighted-median based opinion dynamics model with social pressure.According to Banach fixed point theory,it is proved that under certain conditions,the group opinions can reach a convergent state.Finally,the established opinion dynamics model is utilized to study the "acquaintances effect" in social psychology,and the effectiveness of the model is verified on regular graph,ER random graph,WS small-world network and BA scale-free network.In view of the cooperative and competitive relationship among individuals,we establish a weighted-median based opinion dynamics model with antagonistic interactions.The explicit expression of the established model is obtained through the threshold decomposition theory,and the convergence of opinions is analyzed.The established opinion dynamics model is employed to study the 2022 Football World Cup.Finally,the effectiveness of the opinion dynamics model is verified by simulation analysis.