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We propose a simple model to explore an educational phenomenon where the correct answer emerges from group discussion. We construct our model based on several plausible assumptions: (i) We tend to follow peers' opinions. However, if a…

Physics and Society · Physics 2025-05-27 Jibeom Seo , Beom Jun Kim

In this work we tackle a kinetic-like model of opinions dynamics in a networked population endued with a quenched plurality and polarization. Additionally, we consider pairwise interactions that are restrictive, which is modeled with a…

Physics and Society · Physics 2020-07-21 A. L. Oestereich , M. A. Pires , S. M. Duarte Queirós , N. Crokidakis

In this work we define a kinetic model for understanding the impact of heterogeneous opinion formation dynamics on epidemics. The considered many-agent system is characterized by nonsymmetric interactions which define a coupled system of…

Physics and Society · Physics 2024-03-13 Sabrina Bonandin , Mattia Zanella

We study the Deffuant et al. model for continuous--opinion dynamics under the influence of noise. In the original version of this model, individuals meet in random pairwise encounters after which they compromise or not depending of a…

Physics and Society · Physics 2009-08-24 Miguel Pineda , Raul Toral , Emilio Hernandez-Garcia

The paper treats opinion dynamics of an unequal distribution as the initial opinion distribution. Simulated is the Deffuant model on a directed Barabasi-Albert network with discrete opinions and several subjects. Noticed is a focusing of…

Physics and Society · Physics 2015-06-26 Dirk Jacobmeier

There is a rich literature on microscopic models for opinion dynamics; most of them fall into one of two categories - agent-based models or differential equation models - with a general understanding that the two are connected in certain…

Dynamical Systems · Mathematics 2023-11-16 Andrew Nugent , Susana N Gomes , Marie-Therese Wolfram

The study of opinions, their formation and change, is one of the defining topics addressed by social psychology, but in recent years other disciplines, as computer science and complexity, have addressed this challenge. Despite the…

Artificial Intelligence · Computer Science 2011-06-22 Francesca Giardini , Walter Quattrociocchi , Rosaria Conte

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…

Optimization and Control · Mathematics 2024-04-11 Chiara Cicolani , Cristina Pignotti

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

Models of opinion dynamics play a major role in various disciplines, including economics, political science, psychology, and social science, as they provide a framework for analysis and intervention. In spite of the numerous mathematical…

Physics and Society · Physics 2021-08-17 Armineh Rahmanian , Sadegh Bolouki , S. Rasoul Etesami , Abolfazl Mohebbi

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…

Physics and Society · Physics 2009-11-11 Santo Fortunato , Vito Latora , Alessandro Pluchino , Andrea Rapisarda

Opinion dynamics, the study of how individual beliefs and collective public opinion evolve, is a fertile domain for applying statistical physics to complex social phenomena. Like physical systems, societies exhibit macroscopic regularities…

In the bounded confidence model the opinions of a set of agents evolve over discrete time steps. In each round an agent averages the opinion of all agents whose opinions are at most a certain threshold apart. Here we assume that the…

Physics and Society · Physics 2025-12-23 Sascha Kurz

We present a toy model of opinion spreading in a society which combines a self-reinforcing mechanism with diffusion. The relative strength of these two mechanisms - called the affectability of the system - is a free parameter of the model.…

Physics and Society · Physics 2022-01-26 Tomáš Fürst , Anna Minarovičová , Františka Sandroni , Jakub Dostál

We here present a model of the dynamics of extremism based on opinion dynamics in order to understand the circumstances which favour its emergence and development in large fractions of the general public. Our model is based on the bounded…

Physics and Society · Physics 2015-03-18 Gérard Weisbuch

We investigate the effect of bias on the formation and dynamics of political parties in the bounded confidence model. For weak bias, we quantify the change in average opinion and potential dispersion and decrease in party size. For…

Dynamical Systems · Mathematics 2023-02-09 Olivia Cannon , Ty Bondurant , Malindi Whyte , Arnd Scheel

We propose and analyze a nonlinear opinion dynamics model for an agent making decisions about a continuous distribution of options in the presence of input. Inspired by perceptual decision-making, we develop new theory for opinion formation…

Analysis of PDEs · Mathematics 2024-11-28 Giovanna Amorim , Anastasia Bizyaeva , Alessio Franci , Naomi Ehrich Leonard

We propose a continuous-time nonlinear model of opinion dynamics with utility-maximizing agents connected via a social influence network. A distinguishing feature of the proposed model is the inclusion of an opinion-dependent…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Prashil Wankhede , Nirabhra Mandal , Sonia Martínez , Pavankumar Tallapragada

We briefly introduce a new promising field of applications of statistical physics, opinion dynamics, where the systems at study are social groups or communities and the atoms/spins are the individuals (or agents) belonging to such groups.…

Statistical Mechanics · Physics 2017-08-23 Santo Fortunato

This paper proposes and analyzes a novel multi-agent opinion dynamics model in which agents have access to actions which are quantized version of the opinions of their neighbors. The model produces different behaviors observed in social…

Dynamical Systems · Mathematics 2016-02-08 N. R. Chowdhury , I. -C. Morarescu , S. Martin , S. Srikant