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arXiv 1710.00530cs.SIphysics.soc-ph
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社交网络中的信念动力学:基于流体的分析

Belief Dynamics in Social Networks: A Fluid-Based Analysis

Alessandro Nordio, Alberto Tarable, Carla Fabiana Chiasserini, Emilio Leonardi

摘要:

社交媒体的出现和扩散已经导致了描述由社交交互用户组成的生态系统中的信念/观点的演变的数学模型的发展。其目标是深入了解集体主导的社会信念和系统不同组件的影响,例如用户的交互,同时能够预测用户的意见。遵循这一思路,在本文中,我们考虑了一个相当普遍的社会互动的动力学模型,它捕捉了社会系统所表现出的所有主要特征。对于这样的模型,通过拥抱一个平均场的方法,我们推导出一个扩散微分方程,表示渐近的信念动态,随着用户的数量越来越大。然后,我们分析了稳态行为以及系统的时间相关(瞬态)行为。特别是,对于稳态分布,我们获得了简单的封闭形式的表达式为相关的一类系统,而我们提出了有效的半分析技术在最一般的情况下。最后,我们开发了一个有效的半解析方法来分析用户的信念随着时间的推移,这可以应用到一个显着的大类系统的动态。

英文摘要:

The advent and proliferation of social media have led to the development of mathematical models describing the evolution of beliefs/opinions in an ecosystem composed of socially interacting users. The goal is to gain insights into collective dominant social beliefs and into the impact of different components of the system, such as users' interactions, while being able to predict users' opinions. Following this thread, in this paper we consider a fairly general dynamical model of social interactions, which captures all the main features exhibited by a social system. For such model, by embracing a mean-field approach, we derive a diffusion differential equation that represents asymptotic belief dynamics, as the number of users grows large. We then analyze the steady-state behavior as well as the time dependent (transient) behavior of the system. In particular, for the steady-state distribution, we obtain simple closed-form expressions for a relevant class of systems, while we propose efficient semi-analytical techniques in the most general cases. At last, we develop an efficient semi-analytical method to analyze the dynamics of the users' belief over time, which can be applied to a remarkably large class of systems.

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。

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