The Study of Opinion Dynamics based on Stubborn Individuals
Due to the classical Hegselmann-Krause model neglecting factors such as individual differences,social influence,and the complex mechanisms of information propagation in studying opinion evolution,we introduce a certain proportion of stubborn in dividuals in this model.We characterize the differences in individual interactions through a network structure,thereby investigating the dynamical behavior of opinion evolution in heterogeneous populations.We also analyze the impact of network structure and the proportio n of stubborn individuals on the dynamics of opinion evolution.The results indicate that in the absence of stubborn individuals,a high trust threshold promotes the formation of consensus states.However,the presence of stubborn individuals leads to a fragmented distribution of group opinions,and a high trust threshold is not conducive to the formation of local consensus within the group.Furthermore,contrasting research results under different selection strategies for introducing stubborn individuals based on degree heterogeneity reve al that selecting individuals with higher degrees as stubborn individuals is most favorable for the formation of local consensus within the group.The network structure,the proportion of stubborn individuals,and the selection strategy for stubborn individuals also signi ficantly impact the system's relaxation time.These findings are of paramount significance in unraveling the macroscopic patterns and underlyi ng mechanisms of opinion evolution in real-world social systems.
HK ModelOpinion DynamicsNetwork StructureStubborn individual