Shifting Consensus in a Biased Compromise Model

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-22 DOI:10.1137/23m1552346

Olivia Cannon, Ty Bondurant, Malindi Whyte, Arnd Scheel

引用次数: 0

Abstract

SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 297-324, March 2024.
Abstract. We investigate the effect of bias on the formation and dynamics of opinion clusters in the bounded confidence model. For weak bias, we quantify the change in average opinion and potential dispersion and decrease in cluster size. For nonlinear bias modeling self-incitement, we establish coherent drifting motion of clusters on a background of uniform opinion distribution for biases below a critical threshold where clusters dissolve. Technically, we use geometric singular perturbation theory to derive drift speeds, we rely on a nonlocal center manifold analysis to construct drifting clusters near threshold, and we implement numerical continuation in a forward-backward delay equation to connect asymptotic regimes.

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有偏见的妥协模式中的共识转变

SIAM 应用动力系统期刊》第 23 卷第 1 期第 297-324 页，2024 年 3 月。摘要我们研究了有界置信模型中偏见对意见集群的形成和动态的影响。对于弱偏差，我们量化了平均意见和潜在离散度的变化以及集群规模的减小。对于非线性偏差模型中的自我激励，我们在均匀舆论分布的背景上建立了簇的连贯漂移运动，当偏差低于临界阈值时，簇会解散。在技术上，我们使用几何奇异扰动理论来推导漂移速度，依靠非局部中心流形分析来构建临界点附近的漂移集群，并在前向后延迟方程中实施数值延续来连接渐近状态。

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.