Department of Politics and Philosophy, University of Idaho, Moscow, Idaho, USA.
Department of Electrical Engineering, University of Idaho, Moscow, Idaho, USA.
Phys Rev E. 2018 Aug;98(2-1):022310. doi: 10.1103/PhysRevE.98.022310.
Spatially situated opinions that can be held with different degrees of conviction lead to spatiotemporal patterns such as clustering (homophily), polarization, and deadlock. Our goal is to understand how sensitive these patterns are to changes in the local nature of interactions. We introduce two different mixing mechanisms, spatial relocation and nonlocal interaction ("telephoning"), to an earlier fully spatial model (no mixing). Interestingly, the mechanisms that create deadlock in the fully spatial model have the opposite effect when there is a sufficient amount of mixing. With telephoning, not only is polarization and deadlock broken up, but consensus is hastened. The effects of mixing by relocation are even more pronounced. Further insight into these dynamics is obtained for selected parameter regimes via comparison to the mean-field differential equations.
存在不同置信度的空间定位观点会导致时空模式,如聚类(同质性)、极化和僵局。我们的目标是了解这些模式对局部相互作用性质变化的敏感程度。我们为早期的完全空间模型(无混合)引入了两种不同的混合机制,即空间重定位和非局部相互作用(“打电话”)。有趣的是,在有足够混合量的情况下,在完全空间模型中造成僵局的机制会产生相反的效果。通过打电话,不仅极化和僵局被打破,而且共识也得到了加快。通过重新定位进行混合的效果甚至更为显著。通过与平均场微分方程进行比较,可以获得所选参数区域的这些动态的更深入了解。