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首页> 外文期刊>Proceedings of the Royal Society. Mathematical, physical and engineering sciences >Opinion dynamics: inhomogeneous Boltzmann-type equations modelling opinion leadership and political segregation
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Opinion dynamics: inhomogeneous Boltzmann-type equations modelling opinion leadership and political segregation

机译：意见动态：不统一的玻尔兹曼型方程式，用于建模意见领导力和政治隔离

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摘要

We propose and investigate different kinetic models for opinion formation, when the opinion formation process depends on an additional independent variable, e.g. a leadership or a spatial variable. More specifically, we consider (i) opinion dynamics under the effect of opinion leadership, where each individual is characterized not only by its opinion but also by another independent variable which quantifies leadership qualities; (ii) opinion dynamics modelling political segregation in 'The Big Sort', a phenomenon that US citizens increasingly prefer to live in neighbourhoods with politically like-minded individuals. Based on microscopic opinion consensus dynamics such models lead to inhomogeneous Boltzmann-type equations for the opinion distribution. We derive macroscopic Fokker-Planck-type equations in a quasi-invariant opinion limit and present results of numerical experiments.
机译：当意见形成过程取决于其他独立变量时，例如，我们提出并研究了意见形成的不同动力学模型。领导力或空间变量。更具体地说，我们考虑（i）在意见领导作用下的意见动态，其中每个人不仅以其意见为特征，而且还以量化领导素质的另一个自变量为特征; （ii）在“大分类”中为政治隔离建模的意见动态，这种现象越来越多，美国公民更喜欢与政治上志趣相投的人一起居住。基于微观意见的共识动力学，这种模型导致意见分布的Boltzmann型方程不均匀。我们在准不变观点极限中推导了宏观Fokker-Planck型方程，并给出了数值实验的结果。

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