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Related papers: Kinetic models of opinion formation

200 papers

We consider a kinetic model of opinion dynamics known as the Biswas-Chatterjee-Sen model with a modular interaction structure. The system consists of two groups of agents that feature more frequent interactions within each group and rarer…

Physics and Society · Physics 2024-11-28 Krzysztof Suchecki , Kathakali Biswas , Janusz A. Hołyst , Parongama Sen

A two state model for opinion forming, which has proven heuristic power, is reviewed with a novel emphasis on the existence or absence of a threshold for the dynamics. Monitored by repeated small groups discussions floater agents update…

Physics and Society · Physics 2008-03-18 Serge Galam

It is interesting and of significant importance to investigate how network structures co-evolve with opinions. The existing models of such co-evolution typically lead to the final states where network nodes either reach a global consensus…

Physics and Society · Physics 2017-10-25 Yi Yu , Gaoxi Xiao , Guoqi Li , Wee Peng Tay , Hao Fatt Teoh

We consider a constrained hierarchical opinion dynamics in the case of leaders' competition and with complete information among leaders. Each leaders' group tries to drive the followers' opinion towards a desired state accordingly to a…

Optimization and Control · Mathematics 2017-12-12 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

We introduce kinetic models to simulate epidemic spread while accounting for individuals' opinions on protective behaviors. Opinion exchanges occur on a social network represented by a graphon, leading to scenarios with or without opinion…

Analysis of PDEs · Mathematics 2026-04-14 Andrea Bondesan , Jacopo Borsotti , Mattia Fontana

Changes of mind can become less likely the longer an agent has adopted a given opinion state. This resilience or inertia to change has been called ``aging''. We perform a comparative study of the effects of aging on the critical behavior of…

Physics and Society · Physics 2024-08-01 Jaume Llabres , Sara Oliver-Bonafoux , Celia Anteneodo , Raul Toral

Numerous models in opinion dynamics focus on the temporal dynamics within a single electoral unit (e.g., country). The empirical observations, on the other hand, are often made across multiple electoral units (e.g., polling stations) at a…

Physics and Society · Physics 2019-10-11 Aleksejus Kononovicius

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

This paper establishes the global well-posedness of the nonlinear Fokker-Planck equation for a noisy version of the Hegselmann-Krause model. The equation captures the mean-field behavior of a classic multiagent system for opinion dynamics.…

Analysis of PDEs · Mathematics 2015-10-23 Bernard Chazelle , Quansen Jiu , Qianxiao Li , Chu Wang

This paper studies the evolution of the distribution of opinions in a population of individuals in which there exist two distinct subgroups of highly-committed, well-connected opinion leaders endowed with a strong convincing power. Each…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 Nino Boccara

In this work we study opinion formation in a population participating of a public debate with two distinct choices. We considered three distinct mechanisms of social interactions and individuals' behavior: conformity, nonconformity and…

Physics and Society · Physics 2015-12-11 Nuno Crokidakis , Paulo Murilo Castro de Oliveira

We present an opinion model founded upon the principles of the bounded confidence interaction among agents. Our objective is to explain the polarization effects inherent to vector-valued opinions. The evolutionary process adheres to the…

Multiagent Systems · Computer Science 2023-12-25 Jacek Cyranka , Piotr B. Mucha

The dynamics of opinion formation in large groups of people is a complex non-linear phenomenon whose investigation is just at the beginning. Both collective behaviour and personal view play an important role in this mechanism. In the…

Physics and Society · Physics 2010-02-17 M. Bartolozzi , B. Leinweber , A. W. Thomas

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

The dynamics of opinion is a complex and interesting process, especially for the systems with large number individuals. It is usually hard to describe the evolutionary features of these systems. In this paper, we study the self excitation…

Probability · Mathematics 2018-09-28 Lifu Wang , Bo Shen

We propose an exactly solvable model for the dynamics of voters in a two-party system. The opinion formation process is modeled on a random network of agents. The dynamical nature of interpersonal relations is also reflected in the model,…

Physics and Society · Physics 2009-11-13 I. J. Benczik , S. Z. Benczik , B. Schmittmann , R. K. P. Zia

Despite the increasing diffusion of the Internet technology, TV remains the principal medium of communication. People's perceptions, knowledge, beliefs and opinions about matter of facts get (in)formed through the information reported on by…

Social and Information Networks · Computer Science 2011-02-14 Walter Quattrociocchi , Rosaria Conte , Elena Lodi

In this work we study the formation of consensus in a hierarchical population. We derive the corresponding kinetic equations, and analyze the long time behaviour of their solutions for the case of finite number of hierarchical obtaining…

Analysis of PDEs · Mathematics 2022-07-06 María Celeste Romero Longar , Nicolas Saintier , Analía Silva

The proliferation of public networks has enabled instantaneous and interactive communication that transcends temporal and spatial constraints. The vast amount of textual data on the Web has facilitated the study of quantitative analysis of…

Physics and Society · Physics 2024-04-22 Yasuko Kawahata

We propose a model of continuous opinion dynamics, where mutual interactions can be both positive and negative. Different types of distributions for the interactions, all characterized by a single parameter $p$ denoting the fraction of…

Physics and Society · Physics 2012-03-02 Soumyajyoti Biswas , Arnab Chatterjee , Parongama Sen