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We present a model describing the temporal evolution of opinions due to interactions among a network of individuals. This Accept-Shift-Constrict (ASC) model is formulated in terms of coupled nonlinear differential equations for opinions and…

Physics and Society · Physics 2020-04-09 Michael Gabbay

Polarization of societies is getting more and more attention from researchers working at the intersection of many fields, because it seems to be a defining feature of many public domains. In this paper, we are going to investigate how the…

Physics and Society · Physics 2019-10-14 Janusz Szwabiński , Tomasz Weron

We propose a discrete model for how opinion about a given phenomenon, about which various groups of a population have different degrees of enthusiasm, such as fanaticism and extreme social and political positions, including terrorism, may…

Physics and Society · Physics 2007-05-23 Dietrich Stauffer , Muhammad Sahimi

There is growing concern about misinformation and the role online media plays in social polarization. Analyzing belief dynamics is one way to enhance our understanding of these problems. Existing analytical tools, such as survey research or…

Social and Information Networks · Computer Science 2023-06-08 Joshua Introne

We investigate the dynamics of opinion formation on social networking platforms, focusing on how individual opinions, influenced by both social connections and platform algorithms, evolve. We model this process using a differential…

Social and Information Networks · Computer Science 2024-10-15 Hind AlMahmoud , Frederik Mallmann-trenn

This paper introduces a definition of ideological polarization of an electorate around a particular central point. The definition is flexible about the location or boundaries of the center. Using US survey data, the paper shows how this…

General Economics · Economics 2024-11-27 Boris Ginzburg

Our belief systems are shaped by social processes, such as observations and influence, and by cognitive processes, such as the drive for internal coherence. These processes steer how individual beliefs evolve and become connected. The…

Social and Information Networks · Computer Science 2026-04-22 Ozgur Can Seckin , Rachith Aiyappa , Madalina Vlasceanu , Filippo Menczer , Alessandro Flammini , Yong-Yeol Ahn

Mass-conserving reaction-diffusion systems with bistable nonlinearity are useful models for studying cell polarity formation, which is a key process in cell division and differentiation. We rigorously show the existence and stability of…

Analysis of PDEs · Mathematics 2025-05-23 Masataka Kuwamura , Takashi Teramoto , Hideo Ikeda

We consider two-opinion voter models on dense dynamic random graphs. Our goal is to understand and describe the occurrence of consensus versus polarisation over long periods of time. The former means that all vertices have the same opinion,…

Probability · Mathematics 2024-10-29 Simone Baldassarri , Peter Braunsteins , Frank den Hollander , Michel Mandjes

We introduce a new model that mimics the strong and sudden effects induced by conformity in tightly interacting human societies. Such effects range from mere crowd phenomena to dramatic political turmoil. The model is a modified version of…

Physics and Society · Physics 2015-06-26 A. L. Efros , P. Désesquelles

Adversarial examples are one of the most severe threats to deep learning models. Numerous works have been proposed to study and defend adversarial examples. However, these works lack analysis of adversarial information or perturbation,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-06 Guanlin Li , Naishan Zheng , Man Zhou , Jie Zhang , Tianwei Zhang

We present a novel explanation for the group polarization effect whereby discussion among like-minded individuals induces shifts toward the extreme. Our theory distinguishes between a quantitative policy under debate and the discussion's…

Physics and Society · Physics 2020-01-09 Michael Gabbay , Zane Kelly , Justin Reedy , John Gastil

It is widely believed that society is becoming increasingly polarized around important issues, a dynamic that does not align with common mathematical models of opinion formation in social networks. In particular, measures of polarization…

Social and Information Networks · Computer Science 2021-10-27 Christopher Musco , Indu Ramesh , Johan Ugander , R. Teal Witter

Accurate modeling of opinion dynamics has the potential to help us understand polarization and what makes effective political discourse possible or impossible. Here, we use physics-based methods to model the evolution of political opinions…

Physics and Society · Physics 2020-10-07 David Sabin-Miller , Daniel M. Abrams

We perform a validation analysis on the multipolar model of opinion dynamics. A general methodology for using the model on datasets of two correlated variables is proposed and tested using data on the relationship between COVID-19…

Systems and Control · Electrical Eng. & Systems 2025-10-16 Luka Baković , David Ohlin , Emma Tegling

Group polarization, the phenomenon where individuals become more extreme after interacting, has been gaining attention, especially with the rise of social media shaping people's opinions. Recent interest has emerged in formal reasoning…

Logic in Computer Science · Computer Science 2024-05-03 Robert Freiman , Carlos Olarte , Elaine Pimentel , Christian G. Fermüller

We introduce a utility-driven bounded-confidence model of opinion dynamics in which opinions associated with higher utility exert stronger social influence. In the regime where all agents belong to a single opinion cluster, we derive a…

Adaptation and Self-Organizing Systems · Physics 2026-05-22 Alex Siebenmorgen , Juan G. Restrepo

A polarized social network is modeled as a system of interacting marked point processes with memory of variable length. Each point process indicates the successive times in which a social actor expresses a "favorable" or "contrary" opinion.…

Probability · Mathematics 2024-08-23 Antonio Galves , Kádmo Laxa

Understanding and quantifying polarization in social systems is important because of many reasons. It could for instance help to avoid segregation and conflicts in the society or to control polarized debates and predict their outcomes. In…

Physics and Society · Physics 2017-10-11 Tyll Krueger , Janusz Szwabiński , Tomasz Weron

In modern interconnected societies, opinions and beliefs can quickly spread across large populations, giving rise to collective behaviors such as the adoption of social norms or polarization. These phenomena have motivated many models aimed…

Physics and Society · Physics 2026-05-27 Cosimo Agostinelli , Marco Mancastroppa , Alain Barrat
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