Complex Transitions of the Bounded Confidence Model from an Odd Number of Clusters to the Next

IF 17.7 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-05-08 DOI:10.3390/physics6020046

Guillaume Deffuant

引用次数: 0

Abstract

The bounded confidence model assumes simple continuous opinion dynamics in which agents ignore opinions which are too far from their own. The two initial variants—Hegselmann–Krause (HK) and Deffuant–Weisbuch (DW)—of the model have attracted significant attention since the early 2000s. This paper revisits the version of the HK model applied to a probability distribution, earlier studied by Jan Lorenz. It shows that the bifurcation diagram depends on the parity of the size of the discretisation and that adding a small noise to the initial conditions leads to complex transitions involving several phases.

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有界信度模型从奇数聚类到下一个聚类的复杂过渡

有界信心模型假定了简单连续的意见动态，在这种动态中，代理人会忽略与自己意见相差太远的意见。自 2000 年代初以来，该模型的两个初始变体--Hegselmann-Krause（HK）和 Deffuant-Weisbuch（DW）--引起了广泛关注。本文重温了扬-洛伦兹（Jan Lorenz）早先研究的应用于概率分布的 HK 模型版本。结果表明，分岔图取决于离散化大小的奇偶性，在初始条件中加入少量噪声会导致涉及多个阶段的复杂转换。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.

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