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Motivated by empirical research on bias and opinion formation, we formulate a multidimensional nonlinear opinion-dynamical model where agents have individual biases, which are fixed, as well as opinions, which evolve. The dimensions…

Systems and Control · Electrical Eng. & Systems 2024-05-14 Luka Baković , David Ohlin , Giacomo Como , Emma Tegling

As one of the most widespread social dynamics, cooperative behavior is among the most fascinating collective phenomena. Several animal species, from social insects to human beings, feature social groups altruistically working for a common…

Confirmation bias and peer pressure both have substantial impacts on the formation of collective decisions. Nevertheless, few attempts have been made to study how the interplay between these two mechanisms affects public opinion evolution.…

Physics and Society · Physics 2020-12-22 Longzhao Liu , Xin Wang , Shaoting Tang , Zhiming Zheng

People's opinions change with time as they interact with each other. In a bounded-confidence model (BCM) of opinion dynamics, individuals (which are represented by the nodes of a network) have continuous-valued opinions and are influenced…

Social and Information Networks · Computer Science 2024-07-30 Grace J. Li , Jiajie Luo , Mason A. Porter

This is a brief "proof of concept" article that shows nonlocal diffusion is well suited to the study of pattern formation and the particular application of public sentiment. We use a nonlocal reaction-diffusion equation to model the…

Analysis of PDEs · Mathematics 2022-10-28 Joseph L. Shomberg

In social networks, it is often of interest to identify the most influential users who can successfully spread information to others. This is particularly important for marketing (e.g., targeting influencers for a marketing campaign) and to…

Social and Information Networks · Computer Science 2025-07-24 Caroline B. Pena , David J. P. O'Sullivan , Pádraig MacCarron , Akrati Saxena

In a previous paper we proposed a model to study the dynamics of opinion formation in human societies by a co-evolution process involving two distinct time scales of fast transaction and slower network evolution dynamics. In the transaction…

Physics and Society · Physics 2012-05-22 Gerardo Iñiguez , Rafael A. Barrio , János Kertész , Kimmo K. Kaski

Individuals modify their opinions towards a topic based on their social interactions. Opinion evolution models conceptualize the change of opinion as a uni-dimensional continuum, and the effect of influence is built by the group size, the…

Social and Information Networks · Computer Science 2022-07-29 Bailu Jin , Weisi Guo

Public opinion is often affected by the presence of committed groups of individuals dedicated to competing points of view. Using a model of pairwise social influence, we study how the presence of such groups within social networks affects…

Physics and Society · Physics 2012-04-24 J. Xie , J. Emenheiser , M. Kirby , S. Sreenivasan , B. K. Szymanski , G. Korniss

The spatial organization of individuals and their interactions in communities are important factors known to preserve diversity in many complex systems. Inspired by metapopulation models from ecology, we study opinion formation using a…

Physics and Society · Physics 2026-05-19 Tim Mauch , Thilo Gross

Polarization issue is generally subject to ideological polarization and affective polarization. In particular, affective polarization usually accelerates the polarization process and transform social interactions into a zero-sum game. Yet,…

Physics and Society · Physics 2023-04-27 Peng-Bi Cui

We study an opinion dynamics model that explores the competition between persuasion and compromise in a population of agents with nearest-neighbor interactions on a two-dimensional square lattice. Each agent can hold either a positive or a…

Physics and Society · Physics 2019-12-03 Fátima Velásquez-Rojas , Federico Vazquez

We study opinion dynamics in a population of interacting adaptive agents voting on a set of complex multidimensional issues. We consider agents which can classify issues into for or against. The agents arrive at the opinions about each…

Physics and Society · Physics 2009-03-11 Renato Vicente , Andre C. R. Martins , Nestor Caticha

The emergence of opinion polarization within human communities -- the phenomenon that individuals within a society tend to develop conflicting attitudes related to the greatest diversity of topics -- has been a focus of interest for…

Physics and Society · Physics 2022-10-05 Anna Zafeiris

In animal societies as well as in human crowds, many observed collective behaviours result from self-organized processes based on local interactions among individuals. However, models of crowd dynamics are still lacking a systematic…

Physics and Society · Physics 2009-09-30 Mehdi Moussaid , Dirk Helbing , Simon Garnier , Anders Johansson , Maud Combe , Guy Theraulaz

The bounded confidence model of opinion dynamics, introduced by Deffuant et al, is a stochastic model for the evolution of continuous-valued opinions within a finite group of peers. We prove that, as time goes to infinity, the opinions…

Probability · Mathematics 2011-04-19 Javier Gómez-Serrano , Carl Graham , Jean-Yves Le Boudec

Considerable effort using techniques developed in statistical physics has been aimed at numerical simulations of agent-based opinion models and analysis of their results. Such work has elucidated how various rules for interacting agents can…

Physics and Society · Physics 2019-08-06 Moorad Alexanian , Dylan McNamara

Many models have been proposed to explain opinion formation in groups of individuals; most of these models study opinion propagation as the interaction between nodes/agents in a social network. Opinion formation is a complex process and a…

Physics and Society · Physics 2008-07-15 Floriana Gargiulo , Alberto Mazzoni

We study an opinion dynamics model in which agents reach compromise via pairwise interactions. When the opinions of two agents are sufficiently close, they both acquire the average of their initial opinions; otherwise, they do not interact.…

Statistical Mechanics · Physics 2009-11-07 E. Ben-Naim , P. L. Krapivsky , S. Redner

Opinion formation has been gaining increasing research interests recently, and various models have been proposed. These models, however, have their limitations, among which noticeably include (i) it is generally assumed that adjacent nodes…

Physics and Society · Physics 2017-03-08 Yi Yu , Gaoxi Xiao