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We present a model that explores the influence of persuasion in a population of agents with positive and negative opinion orientations. The opinion of each agent is represented by an integer number $k$ that expresses its level of agreement…

Physics and Society · Physics 2014-05-30 C. E. La Rocca , L. A. Braunstein , F. Vazquez

Social media platforms have transformed the dynamics of collective opinion formation, enabling rapid, large-scale interactions while simultaneously exposing online discourse to polarization and manipulation. Traditional models of opinion…

Physics and Society · Physics 2025-11-18 Shigefumi Hata , Renaud Lambiotte , Hiroya Nakao , Ryota Kobayashi

In this paper, we investigate the role of uninformed individuals in consensus formation within opinion-swarming models for self-propelled particles. The proposed models are inspired by empirical observations in animal swarming, particularly…

Physics and Society · Physics 2025-08-12 Gissell Estrada-Rodriguez , Victor Villegas-Morral , Marie-Therese Wolfram

The emergence of opinion polarization within human communities -- the phenomenon that individuals within a society tend to develop conflicting attitudes related to the greatest diversity of topics -- has been a focus of interest for…

Physics and Society · Physics 2022-10-05 Anna Zafeiris

In this work we study opinion formation on a fully-connected population participating of a public debate with two distinct choices, where the agents may adopt three different attitudes (favorable to either one choice or to the other, or…

Physics and Society · Physics 2014-01-28 Nuno Crokidakis , Victor H. Blanco , Celia Anteneodo

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 2008-07-28 Timoteo Carletti , Duccio Fanelli , Alessio Guarino , Franco Bagnoli , Andrea Guazzini

The opinion dynamics of economic agents is modeled with the link structure influenced by the resulting opinions: Links between people of nearly the same opinion are more stable than those between people of vastly different opinions. A…

Disordered Systems and Neural Networks · Physics 2007-05-23 Dietrich Stauffer , Martin Hohnisch , Sabine Pittnauer

We consider a general class of three--state models where individuals hold one of two opposite opinions, or are neutral, and exchange opinions in generic pairwise interactions. We show that when opinions spread in a population where a…

Physics and Society · Physics 2016-03-09 Francesca Colaiori , Claudio Castellano

Statistical mechanics has proven to be able to capture the fundamental rules underlying phenomena of social aggregation and opinion dynamics, well studied in disciplines like sociology and psychology. This approach is based on the…

Physics and Society · Physics 2017-03-09 Daniele Vilone , Timoteo Carletti , Franco Bagnoli , Andrea Guazzini

The dynamical origin of opinion polarization in the real world is an interesting topic physical scientists may help to understand. To properly model the dynamics, the theory must be fully compatible with findings by social psychologists on…

Adaptation and Self-Organizing Systems · Physics 2014-09-03 H. F. Chau , C. Y. Wong , F. K. Chow , C. -H. F. Fung

We use a model of opinion formation to study the consequences of some mechanisms attempting to enforce the right behaviour in a society. We start from a model where the possible choices are not equivalent (such is the case when the agents…

Physics and Society · Physics 2012-12-18 M. F. Laguna , G. Abramson , J. R. Iglesias

We investigate the formation of opinion against authority in an authoritarian society composed of agents with different levels of authority. We explore a "dissenting" opinion, held by lower-ranking, obedient, or less authoritative people,…

Physics and Society · Physics 2018-04-10 Eun Lee , Petter Holme , Sang Hoon Lee

According to mass media theory, the dissemination of messages and the evolution of opinions in social networks follow a two-step process. First, opinion leaders receive the message from the message sources, and then they transmit their…

Social and Information Networks · Computer Science 2023-09-12 Huisheng Wang , Yuejiang Li , Yiqing Lin , H. Vicky Zhao

Opinion polarization is a ubiquitous phenomenon in opinion dynamics. In contrast to the traditional consensus oriented group decision making (GDM) framework, this paper proposes a framework with the co-evolution of both opinions and…

Social and Information Networks · Computer Science 2017-05-18 Qingxing Dong , Xin Zhou

We attempt to explain stock market dynamics in terms of the interaction among three variables: market price, investor opinion and information flow. We propose a framework for such interaction and apply it to build a model of stock market…

General Finance · Quantitative Finance 2014-09-23 Maxim Gusev , Dimitri Kroujiline , Boris Govorkov , Sergey V. Sharov , Dmitry Ushanov , Maxim Zhilyaev

In this paper, the influence of the social media on the opinion formation process is modeled during an election campaign. In the proposed model, peer- to-peer interactions and targeted online propaganda messages are assumed to be the…

Physics and Society · Physics 2021-03-16 Semra Gunduc

We propose an opinion dynamics model based on Latan\'e's social impact theory. Actors in this model are heterogeneous and, in addition to opinions, are characterised by their varying levels of persuasion and support. The model is tested for…

Physics and Society · Physics 2020-08-13 Agnieszka Kowalska-Styczeń , Krzysztof Malarz

Reputation is generally defined as the opinion of a group on an aspect of a thing. This paper presents a reputation model that follows a probabilistic modelling of opinions based on three main concepts: (1) the value of an opinion decays…

Multiagent Systems · Computer Science 2015-04-01 Nardine Osman , Alessandro Provetti , Valerio Riggi , Carles Sierra

In this paper we formulate a continuous opinion model that takes into account population growth, i.e. increase with time in the number of interacting agents $N(t)$. In our setting the population growth is governed by a generic growth rate…

Analysis of PDEs · Mathematics 2025-05-27 Ioannis Markou

We investigate the emergence of extreme opinion trends in society by employing statistical physics modeling and analysis on polls that inquire about a wide range of issues such as religion, economics, politics, abortion, extramarital sex,…