论文标题
具有异步信任/不信任水平进化的签名社交网络中以领导者为导向的意见动态
Leader-Driven Opinion Dynamics in Signed Social Networks With Asynchronous Trust/Distrust Level Evolution
论文作者
论文摘要
信任和不信任在社交网络中的代理人之间的意见相互作用中很普遍，并且通过在签名的挖掘物中具有积极和负权重的边缘描述它们。在社会心理学中已经表明，尽管大多数代理商（追随者）的意见倾向于占上风，有时有一个具有坚定立场和强大影响力的代理商（领导者）会影响甚至推翻追随者的偏好。本文旨在分析领导者如何影响签署的社交网络中追随者意见的形成。此外，本文认为基于意见差异的信任/不信任水平的异步演化机制，其中邻近代理人之间的信任/不信任水平被描绘成其意见差异的非线性权重函数，每个代理人都会与邻居相互作用，以更新邻居的信任/不信任水平和意见。基于亚故事和超声体矩阵的相关特性，建立了有关积极和负权重以达成意见共识和极化的不平等条件。提供了一些基于两个著名网络的数值模拟，称为“ 12个愤怒的男人”网络和空手道俱乐部网络，以验证理论结果的正确性。
Trust and distrust are common in the opinion interactions among agents in social networks, and they are described by the edges with positive and negative weights in the signed digraph, respectively. It has been shown in social psychology that although the opinions of most agents (followers) tend to prevail, sometimes one agent (leader) with a firm stand and strong influence can impact or even overthrow the preferences of followers. This paper aims to analyze how the leader influences the formation of followers' opinions in signed social networks. In addition, this paper considers an asynchronous evolution mechanism of trust/distrust level based on opinion difference, in which the trust/distrust level between neighboring agents is portrayed as a nonlinear weight function of their opinion difference, and each agent interacts with the neighbors to update the trust/distrust level and opinion at the times determined by its own will. Based on the related properties of sub-stochastic and super-stochastic matrices, the inequality conditions about positive and negative weights to achieve opinion consensus and polarization are established. Some numerical simulations based on two well-known networks called the ``12 Angry Men" network and the Karate Club network are provided to verify the correctness of the theoretical results.
