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We study here the dynamics of opinion formation in a society where we take into account of the internally held beliefs and externally expressed opinions of the individuals, which are not necessarily the same at all times. While these two…

物理与社会 · 物理学 2022-04-27 Subhadeep Roy , Soumyajyoti Biswas

We study convergence of the following discrete-time non-linear dynamical system: n agents are located in R^d and at every time step, each moves synchronously to the average location of all agents within a unit distance of it. This popularly…

数据结构与算法 · 计算机科学 2012-11-09 Arnab Bhattacharyya , Mark Braverman , Bernard Chazelle , Huy L. Nguyen

This article contributes in four ways to the research on time-discrete continuous opinion dynamics with compromising agents. First, communication regimes are introduced as an elementary concept of opinion dynamic models. Second, we develop…

物理与社会 · 物理学 2007-08-27 Diemo Urbig , Jan Lorenz

Opinion formation is an important element of social dynamics. It has been widely studied in the last years with tools from physics, mathematics and computer science. Here, a continuous model of opinion dynamics for multiple possible choices…

物理与社会 · 物理学 2014-01-28 Alina Sîrbu , Vittorio Loreto , Vito D. P. Servedio , Francesca Tria

We investigate opinion formation in a kinetic exchange opinion model, where opinions are represented by numbers in the real interval $[-1,1]$ and agents are typified by the individual degree of conviction about the opinion that they…

物理与社会 · 物理学 2016-02-25 Allan R. Vieira , Celia Anteneodo , Nuno Crokidakis

Opinion dynamics models such as the bounded confidence models (BCMs) describe how a population can reach consensus, fragmentation, or polarization, depending on a few parameters. Connecting such models to real-world data could help…

This paper elaborates control strategies to prevent clustering effects in opinion formation models. This is the exact opposite of numerous situations encountered in the literature where, on the contrary, one seeks controls promoting…

最优化与控制 · 数学 2018-02-05 Benedetto Piccoli , Nastassia Pouradier Duteil , Emmanuel Trélat

Collective opinions affect civic participation, governance, and societal norms. Due to the influence of opinion dynamics, many models of their formation and evolution have been developed. A commonly used approach for the study of opinion…

动力系统 · 数学 2023-01-06 Claudia Kann , Michelle Feng

The existence of juxtaposed regions of distinct cultures in spite of the fact that people's beliefs have a tendency to become more similar to each other's as the individuals interact repeatedly is a puzzling phenomenon in the social…

计算物理 · 物理学 2010-11-05 Lucas R. Peres , Jose F. Fontanari

We give an elementary proof of a conjecture by Hegselmann and Krause in opinion dynamics, concerning a symmetric bounded confidence interval model: If there is a truth and all individuals take each other seriously by a positive amount…

动力系统 · 数学 2014-01-20 Sascha Kurz , Jörg Rambau

We study the evolution of opinions on a directed network with community structure. Individuals update their opinions synchronously based on a weighted average of their neighbors' opinions, their own previous opinions, and external media…

概率论 · 数学 2024-01-17 Panagiotis Andreou , Mariana Olvera-Cravioto

Many models have been proposed to analyze the evolution of opinion structure due to the interaction of individuals in their social environment. Such models analyze the spreading of ideas both in completely interacting backgrounds and on…

物理与社会 · 物理学 2015-03-13 F. Gargiulo , S. Huet

This article is concerned with a general class of stochastic spatial models for the dynamics of opinions. Like in the voter model, individuals are located on the vertex set of a connected graph and update their opinion at a constant rate…

概率论 · 数学 2014-12-16 Nicolas Lanchier , Stylianos Scarlatos

Mean-field equations have been developed recently to approximate the dynamics of the Deffuant model of opinion formation. These equations can describe both fully-mixed populations and the case where individuals interact only along edges of…

物理与社会 · 物理学 2022-10-14 Alina Dubovskaya , Susan C. Fennell , Kevin Burke , James P. Gleeson , Doireann O'Kiely

We introduce a 2-state opinion dynamics model where agents evolve by majority rule. In each update, a group of agents is specified whose members then all adopt the local majority state. In the mean-field limit, where a group consists of…

统计力学 · 物理学 2009-11-10 P. L. Krapivsky , S. Redner

A Consensus Model according to Deffuant on a directed Barabasi-Albert network was simulated. Agents have opinions on different subjects. A multi-component subject vector was used. The opinions are discrete. The analysis regards distribution…

无序系统与神经网络 · 物理学 2009-11-10 Dirk Jacobmeier

We here discuss a model of continuous opinion dynamics in which agents adjust continuous opinions as a result of random binary encounters whenever their difference in opinion is below a given threshold. We concentrate on the version of the…

其他凝聚态物理 · 物理学 2009-11-10 Gerard Weisbuch , Guillaume Deffuant , Frederic Amblard

We propose a modeling framework to develop a continuum description of opinion dynamics on networks as an alternative to other models, like the ones based on graphons. In a nutshell, the continuum model that we propose aims at approximating…

偏微分方程分析 · 数学 2026-03-16 Gianluca Favre , Gaspard Jankowiak , Sara Merino-Aceituno , Lara Trussardi

We investigate an opinion model consisting of a large group of interacting agents, whose opinions are represented as numbers in $[-1,1]$. At each update time, two random agents are selected, and the opinion of the first agent is updated…

概率论 · 数学 2024-08-06 Fei Cao , Roberto Cortez

In this era of fast and large-scale opinion formation, a mathematical understanding of opinion evolution, a.k.a. opinion dynamics, is especially important. Linear graph-based dynamics and bounded confidence dynamics are the two most popular…

社会与信息网络 · 计算机科学 2021-12-09 Sushmitha Shree S , Kishore G , Avhishek Chatterjee , Krishna Jagannathan