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相关论文: Vector Opinion Dynamics in a Bounded Confidence Co…

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We study multidimensional continuous opinion dynamics, where opinions are nonnegative vectors which components sum up to one. Examples of such opinions are budgets or other allocation vectors which display a distribution of a fixed amount…

物理与社会 · 物理学 2010-12-07 Jan Lorenz

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 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

We discuss two models of opinion dynamics. First wepresent a brief review of the Hegselmann and Krause (HK) compromise model in two dimensions, showing that it is possible to simulate the dynamics in the limit of an infinite number of…

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

We study the dynamics of opinion formation in the situation where changing opinion involves a cost for the agents. To do so we couple the dynamics of a heterogeneous bounded confidence Hegselmann-Krause model with that of the resources that…

物理与社会 · 物理学 2020-09-07 Hendrik Schawe , Laura Hernández

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

Memory effects play a crucial role in social interactions and decision-making processes. This paper proposes a novel fractional-order bounded confidence opinion dynamics model to characterize the memory effects in system states. Building…

物理与社会 · 物理学 2025-06-06 Meiru Jiang , Wei Su , Guojian Ren , Yongguang Yu

Models of continuous opinion dynamics under bounded confidence have been presented independently by Krause and Hegselmann and by Deffuant et al in 2000. They have raised a fair amount of attention in the communities of social simulation,…

物理与社会 · 物理学 2008-03-06 Jan Lorenz

We consider a continuous version of the Hegselmann-Krause model of opinion dynamics. Interaction between agents either leads to a state of consensus, where agents converge to a single opinion as time evolves, or to a fragmented state with…

斑图形成与孤子 · 物理学 2017-04-28 Matt Holzer , Ratna Khatri

This report studies a continuous-time version of the well-known Hegselmann-Krause model of opinion dynamics with bounded confidence. As the equations of this model have discontinuous right-hand side, we study their Krasovskii solutions. We…

最优化与控制 · 数学 2011-11-18 Francesca Ceragioli , Paolo Frasca

We study a model of opinion dynamics introduced by Krause: each agent has an opinion represented by a real number, and updates its opinion by averaging all agent opinions that differ from its own by less than 1. We give a new proof of…

多智能体系统 · 计算机科学 2009-03-13 Vincent D. Blondel , Julien M. Hendrickx , John N. Tsitsiklis

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

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

This paper introduces a heterogeneous multidimensional bounded confidence (BC) opinion dynamics with random pairwise interactions, whereby each pair of agents accesses each other's opinions with a specific probability. This revised model is…

最优化与控制 · 数学 2024-12-05 Jiangjiang Cheng , Ge Chen , Wenjun Mei , Francesco Bullo

We perform a detailed study of the Hegselmann-Krause bounded confidence opinion dynamics model with heterogeneous confidence $\varepsilon_i$ drawn from uniform distributions in different intervals $[\varepsilon_l, \varepsilon_u]$. The phase…

物理与社会 · 物理学 2020-05-22 Hendrik Schawe , Laura Hernández

This paper studies the opinion dynamics model recently introduced by Hegselmann and Krause: each agent in a group maintains a real number describing its opinion; and each agent updates its opinion by averaging all other opinions that are…

数学物理 · 物理学 2011-04-08 Anahita Mirtabatabaei , Francesco Bullo

Models of continuous opinion dynamics under bounded confidence show a sharp transition between a consensus and a polarization phase at a critical global bound of confidence. In this paper, heterogeneous bounds of confidence are studied. The…

物理与社会 · 物理学 2010-12-07 Jan Lorenz

In the model for continuous opinion dynamics introduced by Hegselmann and Krause, each individual moves to the average opinion of all individuals within an area of confidence. In this work we study the effects of noise in this system. With…

物理与社会 · 物理学 2014-01-24 Miguel Pineda , Raul Toral , Emilio Hernandez-Garcia

We study a Hegselmann-Krause type opinion formation model for a system of two populations. The two groups interact with each other via subsets of individuals, namely the leaders, and natural time delay effects are considered. By using…

最优化与控制 · 数学 2024-04-11 Chiara Cicolani , Cristina Pignotti

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
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