Böhme Gesa A, Gross Thilo
Max-Planck Institute for the Physics of Complex Systems, Dresden, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jun;85(6 Pt 2):066117. doi: 10.1103/PhysRevE.85.066117. Epub 2012 Jun 15.
Adaptive models of opinion formation among humans can display a fragmentation transition, where a social network breaks into disconnected components. Here we investigate this transition in a class of models with arbitrary number of opinions. In contrast to previous work we do not assume that opinions are equidistant or arranged on a one-dimensional conceptual axis. Our investigation reveals detailed analytical results on fragmentations in a three-opinion model, which are confirmed by agent-based simulations. Furthermore, we show that in certain models the number of opinions can be reduced without affecting the fragmentation points.
人类意见形成的自适应模型可能会呈现出一种碎片化转变，即社会网络分裂成不相连的组件。在此，我们研究一类具有任意数量意见的模型中的这种转变。与先前的工作不同，我们不假设意见是等距的或排列在一维概念轴上。我们的研究揭示了三意见模型中碎片化的详细分析结果，这些结果通过基于主体的模拟得到了证实。此外，我们表明，在某些模型中，可以减少意见的数量而不影响碎片化点。
