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Accurate modeling of opinion dynamics has the potential to help us understand polarization and what makes effective political discourse possible or impossible. Here, we use physics-based methods to model the evolution of political opinions…

物理与社会 · 物理学 2020-10-07 David Sabin-Miller , Daniel M. Abrams

This paper investigates the asymptotic behavior of some common opinion dynamic models in a continuum of agents. We show that as long as the interactions among the agents are symmetric, the distribution of the agents' opinion converges. We…

动力系统 · 数学 2016-08-11 Julien M. Hendrickx , Alex Olshevsky

We study a simple continuous-time multi-agent system related to Krause's model of opinion dynamics: each agent holds a real value, and this value is continuously attracted by every other value differing from it by less than 1, with an…

最优化与控制 · 数学 2009-07-28 Vincent D. Blondel , Julien M. Hendrickx , John N. Tsitsiklis

In the compromise model of Deffuant et al., opinions are real numbers between 0 and 1 and two agents are compatible if the difference of their opinions is smaller than the confidence bound parameter \epsilon. The opinions of a randomly…

统计力学 · 物理学 2009-11-10 Santo Fortunato

This paper investigates a model of opinion formation on an adaptive social network, consisting of a system of coupled ordinary differential equations for individuals' opinions and corresponding network edge weights. A key driver of the…

物理与社会 · 物理学 2026-02-04 Andrew Nugent , Carmen Calatayud Fernandez , Susana N. Gomes

The Hegselmann-Krause (HK) model of opinion dynamics describes how opinions held by individuals in a community change over time in response to the opinions of others and their access to the true value, T, to which these opinions relate.…

社会与信息网络 · 计算机科学 2025-02-28 Allen G. Rodrigo

The present paper is devoted to the study of average consensus problems for undirected networks of dynamic agents having communication delays. The accent is put here on the study of the time-delays influence: both constant and time-varying…

最优化与控制 · 数学 2020-10-02 Pierre-Alexandre Bliman , Giancarlo Ferrari-Trecate

We study damage spreading among the opinions of a system of agents, subjected to the dynamics of the Krause-Hegselmann consensus model. The damage consists in a sharp change of the opinion of one or more agents in the initial random opinion…

统计力学 · 物理学 2009-11-10 Santo Fortunato

In this article, we establish exponential contraction results for the diameter and variance of general first-order multiagent systems. Our approach is based on compactification techniques, and works under rather mild assumptions. Namely, we…

最优化与控制 · 数学 2024-06-06 Benoît Bonnet-Weill , Mario Sigalotti

We study the effect of adaptivity on a social model of opinion dynamics and consensus formation. We analyze how the adaptivity of the network of contacts between agents to the underlying social dynamics affects the size and topological…

物理与社会 · 物理学 2008-05-23 Balazs Kozma , Alain Barrat

We show how the prevailing majority opinion in a population can be rapidly reversed by a small fraction p of randomly distributed committed agents who consistently proselytize the opposing opinion and are immune to influence. Specifically,…

物理与社会 · 物理学 2011-08-22 J. Xie , S. Sreenivasan , G. Korniss , W. Zhang , C. Lim , B. K. Szymanski

We identify a fundamental pathology in the likelihood for time delay inference which challenges standard inference methods. By analysing the likelihood for time delay inference with Gaussian process light curve models, we show that it…

统计方法学 · 统计学 2026-05-19 Namu Kroupa , Will Handley

We study opinion dynamics in a social network with stubborn agents who influence their neighbors but who themselves always stick to their initial opinion. We consider first the well-known DeGroot model. While it is known in the literature…

社会与信息网络 · 计算机科学 2021-01-01 Olle Abrahamsson , Danyo Danev , Erik G. Larsson

This paper focuses on the opinion dynamics under the influence of manipulative agents. This type of agents is characterized by the fact that their opinions follow a trajectory that does not respond to the dynamics of the model, although it…

社会与信息网络 · 计算机科学 2025-01-28 A. Bautista

We study finite-size effects on the convergence time in a continuous-opinion dynamics model. In the model, each individual's opinion is represented by a real number on a finite interval, e.g., $[0,1]$, and a uniformly randomly chosen…

物理与社会 · 物理学 2021-07-28 Hang-Hyun Jo , Naoki Masuda

The time dependence of the survival probability of an opinion in a closed community has been investigated in accordance with social temperature by using the Kawasaki-exchange dynamics based on previous study in Ref. [1]. It is shown that…

物理与社会 · 物理学 2009-11-11 Ekrem Aydiner , Meltem Gonulol

Consensus of autonomous agents is a benchmark problem in cooperative control. In this paper, we consider standard continuous-time averaging consensus policies (or Laplacian flows) over time-varying graphs and focus on robustness of…

系统与控制 · 电气工程与系统科学 2020-09-08 Anton V. Proskurnikov , Guiseppe Calafiore

This paper studies the evolution of the distribution of opinions in a population of individuals in which there exist two distinct subgroups of highly-committed, well-connected opinion leaders endowed with a strong convincing power. Each…

适应与自组织系统 · 物理学 2009-11-13 Nino Boccara

Understanding the dynamics of opinion depolarization is pivotal to reducing the political divide in our society. We propose an opinion dynamics model, which we name the social compass model, for interdependent topics represented in a polar…

物理与社会 · 物理学 2023-10-25 Jaume Ojer , Michele Starnini , Romualdo Pastor-Satorras

We investigate the dynamics of the majority-rule opinion formation model when voters experience differential latencies. With this extension, voters that just adopted an opinion go into a latent state during which they are excluded from the…

物理与社会 · 物理学 2015-03-17 Alexander Scheidler