有向复杂网络的舆论动力学

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-04-05 DOI:10.1287/moor.2022.0250

Nicolas Fraiman, Tzu-Chi Lin, Mariana Olvera-Cravioto

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引用次数: 0

摘要

我们提出并分析了有向复杂网络中观点演变的数学模型。我们的模型对流行的 DeGroot 和 Friedkin-Johnsen 模型进行了概括，允许顶点具有可能影响观点动态的属性。我们首先建立了在任何固定图上存在静态意见分布的充分条件，然后通过考虑具有局部弱极限的有向随机图序列，对其行为进行了越来越详细的描述。在这种情况下，我们的模型可用于解释各种现象，例如，达成共识的条件、意见两极分化的机制以及顽固分子对意见形成的破坏作用：本研究得到了美国国家科学基金会（NSF-DMS-1929298 和 CMMI-2243261）的资助。

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Opinion Dynamics on Directed Complex Networks

We propose and analyze a mathematical model for the evolution of opinions on directed complex networks. Our model generalizes the popular DeGroot and Friedkin-Johnsen models by allowing vertices to have attributes that may influence the opinion dynamics. We start by establishing sufficient conditions for the existence of a stationary opinion distribution on any fixed graph, and then provide an increasingly detailed characterization of its behavior by considering a sequence of directed random graphs having a local weak limit. Our most explicit results are obtained for graph sequences whose local weak limit is a marked Galton-Watson tree, in which case our model can be used to explain a variety of phenomena, for example, conditions under which consensus can be achieved, mechanisms in which opinions can become polarized, and the effect of disruptive stubborn agents on the formation of opinions.Funding: This work was supported by the National Science Foundation [Grants NSF-DMS-1929298 and CMMI-2243261].

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.