Opinion Dynamics and Social Power Evolution: A Single–Timescale Model
Opinion Dynamics and Social Power Evolution: A Single–Timescale Model
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DOI：
10.1109/tcns.2019.2951672
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发表时间：
2017-12
影响因子：
4.2
通讯作者：
P. Jia;N. Friedkin;F. Bullo
中科院分区：
文献类型：
--
作者：
P. Jia;N. Friedkin;F. Bullo
本文研究了社会影响系统中自我评价和社会权力的演化。我们认为最近的DeGroot-Friedkin（DF）模型的修改，称为单时标DF模型，在该模型中，意见形成过程发生在相同的时间尺度上的反映评估过程。我们提供了一个全面的分析的平衡和收敛特性的模型的设置不可约和可约的影响网络。对于不可约影响网络的设置，单时间尺度DF模型具有与原始DF模型相同的行为，例如，它预测，除其他事项外，社会权力在个人之间的排名是渐进地等于他们的中心性排名，社会权力往往积累在中心性排名层次结构的顶部。对于可约化影响网络的设置，单时间尺度DF模型的行为与原始DF模型的行为不同，我们完全描述了这些行为。
This article studies the evolution of self-appraisal and social power in a social influence system. We consider a modification of the recent DeGroot–Friedkin (DF) model, called the single–timescale DF model, in which the opinion formation process takes place on the same timescale as the reflected appraisal process. We provide a comprehensive analysis of the equilibria and convergence properties of the model for the settings of irreducible and reducible influence networks. For the setting of irreducible influence networks, the single-timescale DF model has the same behavior as the original DF model, e.g., it predicts among other things that the social power ranking among individuals is asymptotically equal to their centrality ranking, and that social power tends to accumulate at the top of the centrality ranking hierarchy. For the setting of reducible influence networks, the single-timescale DF model behaves differently from the original DF model in ways that we fully characterize.