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One of the main dimensions characterizing the unfolding of opinion formation processes in social debates is the degree of open-mindedness of the involved population. Opinion dynamic modeling studies have tried to capture such a peculiar…

Social and Information Networks · Computer Science 2022-09-22 Valentina Pansanella , Virginia Morini , Tiziano Squartini , Giulio Rossetti

Confirmation bias and peer pressure both have substantial impacts on the formation of collective decisions. Nevertheless, few attempts have been made to study how the interplay between these two mechanisms affects public opinion evolution.…

Physics and Society · Physics 2020-12-22 Longzhao Liu , Xin Wang , Shaoting Tang , Zhiming Zheng

We present the result of a dual modeling of opinion network. The model complements the agent-based opinion models by attaching to the social agent (voters) network a political opinion (party) network having its own intrinsic mechanisms of…

Physics and Society · Physics 2015-06-04 Ru Wang , Qiuping Alexandre Wang

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

A physical description of an opinion evolution is conducted based on the Hamilton-Jacobi equation derived from a generalized potential and the corresponding Langevin equation. The investigation mainly focuses on the heterogeneities such as…

Physics and Society · Physics 2016-04-12 Chen-Jie Feng , Peng Wang , Jie Huo , Rui Hao , Xu-Ming Wang

The voter model and the Axelrod model are two of the main stochastic processes that describe the spread of opinions on networks. The former includes social influence, the tendency of individuals to become more similar when they interact,…

Probability · Mathematics 2010-12-30 Nicolas Lanchier

Opinion spreading in a society decides the fate of elections, the success of products, and the impact of political or social movements. The model by Hegselmann and Krause is a well-known theoretical model to study such opinion formation…

Data Structures and Algorithms · Computer Science 2024-04-16 Petra Berenbrink , Martin Hoefer , Dominik Kaaser , Pascal Lenzner , Malin Rau , Daniel Schmand

We investigate the long-time behavior of a majority rule opinion dynamics model in finite spatial dimensions. Each site of the system is endowed with a two-state spin variable that evolves by majority rule. In a single update event, a group…

Statistical Mechanics · Physics 2009-11-10 P. Chen , S. Redner

We present an extensive study of the joint effects of heterogeneous social agents and their heterogeneous social links in a bounded confidence opinion dynamics model. The full phase diagram of the model is explored for two different…

Physics and Society · Physics 2023-01-24 Rémi Perrier , Hendrik Schawe , Laura Hernández

Scaling limits are analyzed for stochastic continuous opinion dynamics systems, also known as gossip models. In such models, agents update their vector-valued opinion to a convex combination (possibly agent- and opinion-dependent) of their…

Probability · Mathematics 2011-09-23 Giacomo Como , Fabio Fagnani

We assume a community whose members adopt one of two opinions $A$ or $B$. Each member appears as an inflexible, or as a non-contrarian or contrarian floater. An inflexible sticks to its opinion, whereas a floater may change into a floater…

Physics and Society · Physics 2019-09-25 Frans Jacobs , Serge Galam

The spread of opinions, memes, diseases, and "alternative facts" in a population depends both on the details of the spreading process and on the structure of the social and communication networks on which they spread. In this paper, we…

Physics and Society · Physics 2019-03-06 Jonas S. Juul , Mason A. Porter

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

In this work an opinion formation model with heterogeneous agents is proposed. Each agent is supposed to have different power of persuasion, and besides its own level of zealotry, that is, an individual willingness to being convinced by…

Analysis of PDEs · Mathematics 2018-03-28 Mayte Pérez-Llanos , Juan Pablo Pinasco , Nicolas Saintier , Analía Silva

A model where agents show discrete behavior regarding their actions, but have continuous opinions that are updated by interacting with other agents is presented. This new updating rule is applied to both the voter and Sznajd models for…

Physics and Society · Physics 2008-08-11 Andre C. R. Martins

In the evolving voter model, when an individual interacts with a neighbor having an opinion different from theirs, they will with probability $1-\alpha$ imitate the neighbor but with probability $ \alpha$ will sever the connection and…

Probability · Mathematics 2016-06-28 Anirban Basak , Rick Durrett , Yuan Zhang

We here present a model of the dynamics of extremism based on opinion dynamics in order to understand the circumstances which favour its emergence and development in large fractions of the general public. Our model is based on the bounded…

Physics and Society · Physics 2015-03-18 Gérard Weisbuch

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

This paper presents a theoretical convergence analysis for an opinion-action coevolution model that integrates the opinion updating rule of the Hegselmann-Krause model with a utility-based decision-making mechanism. The model is…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Chen Song , Angela Fontan , Rong Su , Julien M. Hendrickx , Vladimir Cvetkovic , Karl H. Johansson

We examine how the randomness of behavior and the flow of information between agents affect the formation of opinions. Our main research involves the process of opinion evolution, opinion clusters formation and studying the probability of…

Theoretical Economics · Economics 2021-01-11 Agnieszka Kowalska-Styczeń , Krzysztof Malarz