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We propose an opinion model based on agents located at the vertices of a regular lattice. Each agent has an independent opinion (among an arbitrary, but fixed, number of choices) and its own degree of conviction. The latter changes every…

Physics and Society · Physics 2012-05-29 S. R. Souza , S. Goncalves

We consider the problem of categorizing and describing the dynamic properties and behaviours of crowds over time. Previous work has tended to focus on a relatively static "typology"-based approach, which does not account for the fact that…

Multiagent Systems · Computer Science 2024-04-15 Martyn Amos , Steve Gwynne , Anne Templeton

Recently, social phenomena have received a lot of attention not only from social scientists, but also from physicists, mathematicians and computer scientists, in the emerging interdisciplinary field of complex system science. Opinion…

Physics and Society · Physics 2016-05-23 Alina Sîrbu , Vittorio Loreto , Vito D. P. Servedio , Francesca Tria

Understanding the impact of collective social phenomena in epidemic dynamics is a crucial task to effectively contain the disease spread. In this work we build a mathematical description for assessing the interplay between opinion…

Physics and Society · Physics 2023-03-10 Mattia Zanella

It is generally believed that in a situation where individual and collective interests are in conflict, the availability of optional participation is a key mechanism to maintain cooperation. Surprisingly, this effect is sensitive to the use…

Physics and Society · Physics 2023-06-21 Marcos Cardinot , Colm O'Riordan , Josephine Griffith , Attila Szolnoki

Networked multi-agent dynamical systems have been used to model how individual opinions evolve over time due to the opinions of other agents in the network. Particularly, such a model has been used to study how a planning agent can be used…

Social and Information Networks · Computer Science 2026-03-19 Sheryl Paul , Leslie Cruz Juarez , Jyotirmoy V. Deshmukh , Ketan Savla

The dynamics of spreading of the minority opinion in public debates (a reform proposal, a behavior change, a military retaliation) is studied using a diffusion reaction model. People move by discrete step on a landscape of random geometry…

Disordered Systems and Neural Networks · Physics 2009-11-07 Serge Galam

A model for continuous-opinion dynamics is proposed and studied by taking advantage of its similarities with a mono-dimensional granular gas. Agents interact as in the Deffuant model, with a parameter $\alpha$ controlling the persuasibility…

Statistical Mechanics · Physics 2021-04-07 Nagi Khalil

When opinions, behaviors or ideas diffuse within a population, some are invariably stickier than others. The stickier the opinion, behavior or idea, the greater is an individual's inertia to replace it with an alternative. Here we study the…

Physics and Society · Physics 2015-12-02 C. Doyle , S. Sreenivasan , B. K. Szymanski , G. Korniss

We investigate majority-vote opinion dynamics on Geometric Inhomogeneous Random Graphs (GIRGs), a powerful model for spatial complex networks. In contrast to classic coarsening dynamics where a single opinion typically achieves global…

Social and Information Networks · Computer Science 2026-03-11 Mats Bierwirth , Johannes Lengler

We study a variant of the voter model with multiple opinions; individuals can imitate each other and also change their opinion randomly in mutation events. We focus on the case of a population with all-to-all interaction. A noise-driven…

Physics and Society · Physics 2019-08-14 Francisco Herrerías-Azcué , Tobias Galla

In this work, we focus on strategies to influence the opinion dynamics of a well-connected society. We propose a generalization of the popular voter model. This variant of the voter model can capture a wide range of individuals including…

Social and Information Networks · Computer Science 2020-02-17 Arunabh Saxena , Bhumesh Kumar , Anmol Gupta , Neeraja Sahasrabudhe , Sharayu Moharir

In this note we study a new kinetic model of opinion dynamics. The model incorporates two forces -- alignment of opinions under all-to-all communication driving the system to a consensus, and Rayleigh type friction force that drives each…

Analysis of PDEs · Mathematics 2022-11-18 Vinh Nguyen , Roman Shvydkoy

Social dynamics models may present discontinuities in the right-hand side of the dynamics for multiple reasons, including topology changes and quantization. Several concepts of generalized solutions for discontinuous equations are available…

Optimization and Control · Mathematics 2021-07-21 Francesca Ceragioli , Paolo Frasca , Benedetto Piccoli , Francesco Rossi

Opinion dynamics aims to understand how individuals' opinions evolve through local interactions. Recently, opinion dynamics have been modeled as network games, where individuals update their opinions in order to minimize the social pressure…

Dynamical Systems · Mathematics 2025-04-07 Yuchen Xu , Yi Han , Chuanzhe Zhang , Miao Wang , Wenjun Mei

In this paper, we study a model for opinion dynamics where the influence weights of agents evolve in time via an equation which is coupled with the opinions' evolution. We explore the natural question of the large population limit with two…

Analysis of PDEs · Mathematics 2020-12-17 Nathalie Ayi , Nastassia Pouradier Duteil

In a three state kinetic exchange opinion formation model, the effect of extreme switches was considered in a recent paper. In the present work, we study the same model with disorder. Here disorder implies that negative interactions may…

Statistical Mechanics · Physics 2023-05-08 Kathakali Biswas , Parongama Sen

A universal formula is shown to predict the dynamics of public opinion including eventual sudden and unexpected outbreaks of minority opinions within a generic parameter space of five dimensions. The formula is obtained combining and…

Physics and Society · Physics 2020-12-04 Serge Galam , Taksu Cheon

We study phase transitions in models of opinion formation which are based on the social impact theory. Two different models are discussed: (i) a cellular--automata based model of a finite group with a strong leader where persons can change…

Statistical Mechanics · Physics 2009-10-31 Janusz A. Holyst , Krzysztof Kacperski , Frank Schweitzer

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
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