基于顽固个体的舆论演化动力学研究

The Study of Opinion Dynamics based on Stubborn Individuals

由于经典Hegselmann-Krause模型在研究观点演化时没有考虑到个体差异、社会影响力、信息传播的复杂机制等因素,我们在该模型中引入一定比例的顽固个体,并通过网络结构来刻画个体作用之间的差别,进而研究异质群体的舆论演化动力学行为,并分析网络结构和顽固个体比例对舆论演化动力学的影响。结果表明,在没有顽固个体的情况下,高信任阈值会促进共识态的形成,而顽固个体的存在则会导致群体观点的碎片化分布,且高信任阈值并不有利于群体形成局部共识。此外,对比基于度异质性引入顽固个体的不同选择策略下的研究结果发现,选择度较大的个体作为顽固个体时最有利于群体形成局部共识,网络结构、顽固个体比例和顽固个体的选择策略对系统弛豫时间也有显著影响。这些发现对于揭示真实社会系统中舆论演化的宏观规律和内在机理具有重要意义。

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 individuals 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 proportion 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 reveal 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 significantly impact the system's relaxation time.These findings are of paramount significance in unraveling the macroscopic patterns and underlying mechanisms of opinion evolution in real-world social systems.