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A simple model of opinion formation dynamics in which binary-state agents make up their opinions due to the influence of agents in a local neighborhood is studied using different network topologies. Each agent uses two different strategies,…

Statistical Mechanics · Physics 2009-11-11 A. O. Sousa , J. R. Sanchez

The dynamics of political opinion are a critical component of modern society with large-scale implications for the evolution of intra- and international political discourse and policy. Here we utilize recent high-resolution survey data to…

Physics and Society · Physics 2025-10-15 David Sabin-Miller , Christopher Harding

We here discuss the process of opinion formation in an open community where agents are made to interact and consequently update their beliefs. New actors (birth) are assumed to replace individuals that abandon the community (deaths). This…

Physics and Society · Physics 2007-12-07 Timoteo Carletti , Duccio Fanelli , Alessio Guarino , Franco Bagnoli , Andrea Guazzini

Human interactions create social networks forming the backbone of societies. Individuals adjust their opinions by exchanging information through social interactions. Two recurrent questions are whether social structures promote opinion…

Physics and Society · Physics 2023-07-31 Fatemeh Zarei , Yerali Gandica , Luis Enrique Correa Rocha

The flow of information reaching us via the online media platforms is optimized not by the information content or relevance but by popularity and proximity to the target. This is typically performed in order to maximise platform usage. As a…

Physics and Society · Physics 2019-06-19 Alina Sîrbu , Dino Pedreschi , Fosca Giannotti , János Kertész

A model of opinion formation on a Small World type topology is studied to observe qualitatively its difference with one is own conviction versus the opinion of others. It is possible to observe that the relation between conviction to copy…

Physics and Society · Physics 2022-02-22 Victor H. Blanco

Opinions are an integral part of how we perceive the world and each other. They shape collective action, playing a role in democratic processes, the evolution of norms, and cultural change. For decades, researchers in the social and natural…

Physics and Society · Physics 2022-12-21 Antonio F. Peralta , János Kertész , Gerardo Iñiguez

We propose a modified Vicsek-like model to study influence dynamics and opinion formation in social networks. We work on the premise that opinions of members of a group may be considered to be analogous to the direction of motion of a…

Social and Information Networks · Computer Science 2018-09-03 Narayani Vedam , Debasish Ghose

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

We propose and investigate different kinetic models for opinion formation, when the opinion formation process depends on an additional independent variable, e.g. a leadership or a spatial variable. More specifically, we consider:(i) opinion…

Physics and Society · Physics 2018-06-05 Bertram Düring , Marie-Therese Wolfram

Understanding social polarization requires integrating insights from psychology, sociology, and complex systems science. Agent-based modeling provides a natural framework to combine perspectives from different fields and explore how…

Physics and Society · Physics 2026-04-22 Alina Dubovskaya , David J. P. O'Sullivan , Michael Quayle

We discuss the process of opinion formation in a completely homogeneous, democratic population using a class of probabilistic cellular automata models with two absorbing states. Each individual can have one of two opinions that can change…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Franco Bagnoli , Fabio Franci , Raúl Rechtman

With social media, the flow of uncertified information is constantly increasing, with the risk that more people will trust low-credible information sources. To design effective strategies against this phenomenon, it is of paramount…

Physics and Society · Physics 2023-07-10 Enrico Maria Fenoaltea , Alejandro Lage-Castellanos

This review outlines the major approaches to modelling opinion formation and manipulation in mathematics and computer science. Key tools such as ordinary and partial differential equations, stochastic models, control theory, and interaction…

Optimization and Control · Mathematics 2026-01-13 Luisa Estrada , Sasha Glendinning , Andrew Nugent

Diffusion models have emerged as a dominant framework for generative modeling, but their mathematical foundations are often presented separately through diffusion probabilistic models, score-based modeling, stochastic differential…

Machine Learning · Computer Science 2026-05-29 Jiayi Fu , Yuxia Wang

Opinions and beliefs determine the evolution of social systems. This is of particular interest in finance, as the increasing complexity of financial systems is coupled with information overload. Opinion formation, therefore, is not always…

General Finance · Quantitative Finance 2014-08-05 Marco D'Errico , Gulnur Muradoglu , Silvana Stefani , Giovanni Zambruno

Irreversible opinion spreading phenomena are studied on small-world networks generated from 2D regular lattices by means of the magnetic Eden model, a nonequilibrium kinetic model for the growth of binary mixtures in contact with a thermal…

Physics and Society · Physics 2009-11-13 Julián Candia

The influence of the social relationships of an individual on the individual's opinions (about a topic, a product, or whatever else) is a well known phenomenon and it has been widely studied. This paper considers a network of positive (i.e.…

Computational Complexity · Computer Science 2022-12-01 Miriam Di Ianni

Under certain circumstances such as lack of information or bounded rationality, human players can take decisions on which strategy to choose in a game on the basis of simple opinions. These opinions can be modified after each round by…

Physics and Society · Physics 2015-06-05 Floriana Gargiulo , Jose J. Ramasco

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
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