基于同质性的评价动力学与基于影响力的意见动力学的相互作用：建模与分析
Interplay Between Homophily-Based Appraisal Dynamics and Influence-Based Opinion Dynamics: Modeling and Analysis
摘要：
在社会系统中，人际评价和个人意见的演化不是独立的过程，而是相互交织的。尽管对意见动态和评价动态分别进行了广泛的研究，但以前的工作从未将这两个过程结合在一起。在本文中，我们提出了一个新的和直观的模型之间的相互作用同性恋为基础的评价动态和影响力为基础的意见动态。我们假设，个人的意见更新通过影响网络构建的人际评价，这反过来又更新基于个人意见通过同质性机制。通过理论分析，我们刻画了该模型的平衡点集和一些瞬态行为。此外，我们建立了评价网络的收敛到社会平衡，个人意见的一致性和非零评价之间的等价性。蒙特卡罗验证进一步表明，非零评价条件保持一般的初始条件。与以往通过人与人的同质性机制解释社会平衡的出现相比，我们的模型从人与实体的同质性机制的角度提供了另一种解释。此外，我们的模型还描述了个体对多个不相关问题的意见如何在时变影响网络上变得相关并收敛到模共识。
英文摘要：
In social systems, the evolution of interpersonal appraisals and individual opinions are not independent processes but intertwine with each other. Despite extensive studies on both opinion dynamics and appraisal dynamics separately, no previous work has ever combined these two processes together. In this paper, we propose a novel and intuitive model on the interplay between homophily-based appraisal dynamics and influence-based opinion dynamics. We assume that individuals' opinions are updated via the influence network constructed from their interpersonal appraisals, which are in turn updated based on the individual opinions via the homophily mechanism. By theoretical analysis, we characterize the set of equilibria and some transient behavior of our model. Moreover, we establish the equivalence among the convergence of the appraisal network to social balance, the modulus consensus of individual opinions, and the non-vanishing appraisals. Monte Carlo validations further show that the non-vanishing appraisals condition holds for generic initial conditions. Compared with previous works that explain the emergence of social balance via person-to-person homophily mechanism, our model provides an alternative explanation in terms of the person-to-entity homophily mechanism. In addition, our model also describes how individuals' opinions on multiple irrelevant issues become correlated and converge to modulus consensus over time-varying influence networks.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
