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相关论文: On the Consensus Threshold for the Opinion Dynamic…

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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 is concerned with the probability of consensus in a multivariate, spatially explicit version of the Hegselmann-Krause model for the dynamics of opinions. Individuals are located on the vertices of a finite connected graph…

概率论 · 数学 2022-04-27 Nicolas Lanchier , Hsin-Lun Li

The original Hegselmann-Krause (HK) model comprises a set of $n$ agents characterized by their opinion, a number in $[0,1]$. Agent $i$ updates its opinion $x_i$ via taking the average opinion of its neighbors whose opinion differs by at…

概率论 · 数学 2021-03-05 Hsin-Lun Li

In the Hegselmann-Krause model, an agent updates its opinion by averaging with others whose opinions differ by at most a given confidence threshold. With agents' initial opinions uniformly distributed on the unit interval, we provide a…

概率论 · 数学 2024-08-08 Hsin-Lun Li

The consensus model of Krause and Hegselmann can be naturally extended to the case in which opinions are integer instead of real numbers. Our algorithm is much faster than the original version and thus more suitable for applications. For…

统计力学 · 物理学 2009-11-10 Santo Fortunato

Opinion spreading in a society decides the fate of elections, the success of products, and the impact of political or social movements. The model by Hegselmann and Krause is a well-known theoretical model to study such opinion formation…

数据结构与算法 · 计算机科学 2024-04-16 Petra Berenbrink , Martin Hoefer , Dominik Kaaser , Pascal Lenzner , Malin Rau , Daniel Schmand

In the consensus model of Sznajd, opinions are integers and a randomly chosen pair of neighbouring agents with the same opinion forces all their neighbours to share that opinion. We propose a simple extension of the model to continuous…

统计力学 · 物理学 2009-11-10 Santo Fortunato

This paper presents a theoretical convergence analysis for an opinion-action coevolution model that integrates the opinion updating rule of the Hegselmann-Krause model with a utility-based decision-making mechanism. The model is…

系统与控制 · 电气工程与系统科学 2026-04-08 Chen Song , Angela Fontan , Rong Su , Julien M. Hendrickx , Vladimir Cvetkovic , Karl H. Johansson

In this paper, we consider two multi-dimensional Hagselmann-Krause (HK) models for opinion dynamics. The two models describe how individuals adjust their opinions on multiple topics, based on the influence of their peers. The models differ…

系统与控制 · 电气工程与系统科学 2022-04-20 Giulia De Pasquale , Maria Elena Valcher

We study the continuum opinion dynamics of the compromise model of Krause and Hegselmann for a community of mutually interacting agents, by solving numerically a rate equation. The opinions are here represented by bidimensional vectors with…

物理与社会 · 物理学 2009-11-11 Santo Fortunato , Vito Latora , Alessandro Pluchino , Andrea Rapisarda

The Hegselmann-Krause (HK) model allows one to characterize the continuous change of agents' opinions with the bounded confidence threshold $\varepsilon$. To consider the heterogeneity of agents in characteristics, we study the HK model on…

物理与社会 · 物理学 2021-02-05 Yueying Zhu , Jian Jiang , Wei Li

Hegselmann and Krause introduced a discrete-time model of opinion dynamics with agents having limit confidence. It is well known that the dynamics reaches a stable state in a polynomial number of time steps. However, the gap between the…

动力系统 · 数学 2015-05-14 Sascha Kurz

A continuous-opinion model accounting for the social compromise propensity is theoretically and numerically analysed. An agent's opinion is represented by a real number that can be changed through social interactions with her neighbours.…

物理与社会 · 物理学 2025-10-09 Carlos Uriarte , Pablo Rodriguez-Lopez , Nagi Khalil

We study the consensus formation for an agents based model, generalizing that originally proposed by Krause \cite{Kr}, by allowing the communication channels between any couple of agents to be switched on or off randomly, at each time step,…

社会与信息网络 · 计算机科学 2026-03-26 Gianfelice Michele , Giuseppe Scola

In a 2006 paper, Jan Lorenz observed a curious behaviour in numerical simulations of the Hegselmann-Krause model: Under some circumstances, making agents more closed-minded can produce a consensus from a dense configuration of opinions…

动力系统 · 数学 2021-07-28 Edvin Wedin

In this paper, we analyze a Hegselmann-Krause opinion formation model with attractive-lacking interaction. More precisely, we investigate the situation in which the individuals involved in an opinion formation process interact among…

最优化与控制 · 数学 2024-07-08 Elisa Continelli , Cristina Pignotti

We study Hegselmann-Krause type opinion formation models with non-universal interaction and time-delayed coupling. We assume the presence of a common influencer between two different agents. Moreover, we explore two cases in which such an…

最优化与控制 · 数学 2024-07-25 Chiara Cicolani , Badis Ouahab , Cristina Pignotti

The Hegselmann--Krause model is a prototypical model for opinion dynamics. It models the stochastic time evolution of an agent's or voter's opinion in response to the opinion of other like-minded agents. The Hegselmann--Krause model only…

物理与社会 · 物理学 2025-02-26 Patrick H. Cahill , Georg A. Gottwald

Recently, significant attention has been dedicated to the models of opinion dynamics in which opinions are described by real numbers, and agents update their opinions synchronously by averaging their neighbors' opinions. The neighbors of…

动力系统 · 数学 2011-04-08 Anahita Mirtabatabaei , Francesco Bullo

Socio-psychological studies have identified a common phenomenon where an individual's public actions do not necessarily coincide with their private opinions, yet most existing models fail to capture the dynamic interplay between these two…

社会与信息网络 · 计算机科学 2025-11-12 Chen Song , Vladimir Cvetkovic , Rong Su
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