论文标题
在高度两极化的社交网络中的快速共识和亚竞争性
Fast Consensus and Metastability in a Highly Polarized Social Network
论文作者
论文摘要
两极分化的社交网络被建模为与可变长度的内存相互作用的标记点过程系统。每个点过程都表示社会演员表达“有利”或“相反”意见的连续时间。表达了意见后,对演员的社会压力将重置为0,等待小组的反应。演员表达意见的方向和速度受到极化系数调节的社会压力的影响。我们证明,当极化系数发散时,网络达到了瞬时但具有亚稳定的共识。
A polarized social network is modeled as a system of interacting marked point processes with memory of variable length. Each point process indicates the successive times in which a social actor expresses a "favorable" or "contrary" opinion. After expressing an opinion, the social pressure on the actor is reset to 0, waiting for the group's reaction. The orientation and the rate at which an actor expresses an opinion is influenced by the social pressure exerted on it, modulated by a polarization coefficient. We prove that the network reaches an instantaneous but metastable consensus, when the polarization coefficient diverges.