论文标题
关于耦合随机步行和社交系统应用程序的同步
On the synchronization of coupled random walks and applications to social systems
论文作者
论文摘要
在过去几年中，一些赢得选举的政治策略主要基于激发信息机构的普遍不信任并赞成不信任的来源。错误的信息大流行具有直接的后果，除非人们与自己的信念兼容，否则人们不相信任何信息。我们提出了一个简单的模型，以研究不确定代理的意见库中共识的出现，这些代理人信任（夫妇）邻居（信息源）具有力量K。我们将研究重点放在常规的晶格和线性耦合上。根据耦合的恒定，k和选择意见的倾向（表现出在孤独中表现出给定意见的可能性），P_0，我们获得了即使在无限系统（k大于或等于k_c）中也可以达成共识的区域，这些区域（大于k_c）的区域不稳定的稳定状态（k_c）是唯一的态度（k_c），并且是k_c symers的，并且是在k_c s的范围内（k_c），并且是k_c s的范围。改变极化之前的意见（P_0等于P_C和K大于或等于K_C。该最后一个区域中的第一个模型表现出与选民模型相同的过渡概率（P_0等于P_C和K等于p_c和K等于K_C）。不同的升级，与单个偏见的人的见解相比，与单个偏见的人相处的偏见可能会隔离，并且在孤立的情况下会改变型号。种群（p^i_0不等于p^j_0对于某些节点I，j）。
Some political strategies to win elections over the last years were based heavily on fomenting general distrust in information institutions and favoring distrustful sources. The misinformation pandemic has the straightforward consequence that people do not believe any information unless it is compatible with their own beliefs. We present a simple model to study the emergence of consensus in opinion pools of uncertain agents that trust (couple to) their neighbors (information sources) with strength K. We focus the studies on regular lattices and linear coupling. Depending on the coupling constant, K, and the propensity to choose an opinion (the probability to manifest a given opinion in solitude), p_0, we get regions where consensus is surely reached even in infinity systems (K greater than or equal to K_c), regions where not-consensus is the only steady state (K lesser than K_c), and a region where consensus on any opinion is transitory with each agent presenting periods of strong oscillation of opinions before changing polarization (p_0 equal to p_c and K greater than or equal K_c. The first model in this last region presents transition probabilities identical to the voter model (p_0 equal to p_c and K equal to K_c). Different upbringings, exposition to education biased to a single political view, and previous coexistence with opinion polarized people can change the opinion of agents in isolation. We model such characteristics with heterogeneous populations (p^i_0 not equal to p^j_0 for some pairs of nodes i,j). Such systems present regions where the coexistence of local consensus (bulk-stable clusters of like-minded opinions), weak consensus (bulk-unstable temporary clusters where contrary opinions emerge inside the cluster), and distrust (random orientations that do not form clusters) are possible.
