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We extend simple opinion models to obtain stable but continuously evolving communities. Our scope is to meet a challenge raised by sociologists of generating "structures that last from non lasting entities". We achieve this by introducing…

Physics and Society · Physics 2015-06-05 Sébastian Grauwin , Pablo Jensen

Eliminating disagreement in a group is usually beneficial to the social stability. In this paper, using the well-known Hegselmann-Krause (HK) model, we design a quite simple strategy that could resolve the opinion difference of the system…

Optimization and Control · Mathematics 2017-04-18 Wei Su , Ge Chen , Yongguang Yu

Adaptive models of opinion formation among humans can display a fragmentation transition, where a social network breaks into disconnected components. Here, we investigate this transition in a class of models with arbitrary number of…

Physics and Society · Physics 2012-06-19 Gesa A. Böhme , Thilo Gross

Some political strategies to win elections over the last years were based heavily on fomenting general distrust in information institutions and favoring distrustful sources. The misinformation pandemic has the straightforward consequence…

Physics and Society · Physics 2022-10-03 Ricardo Simão , Lucas Wardil

We propose an opinion dynamics model that combines processes of vanity and opinion propagation. The interactions take place between randomly chosen pairs. During an interaction, the agents propagate their opinions about themselves and about…

Physics and Society · Physics 2012-07-27 Guillaume Deffuant , Timoteo Carletti , Sylvie Huet

We study the Deffuant et al. model for continuous--opinion dynamics under the influence of noise. In the original version of this model, individuals meet in random pairwise encounters after which they compromise or not depending of a…

Physics and Society · Physics 2009-08-24 Miguel Pineda , Raul Toral , Emilio Hernandez-Garcia

Opinion dynamics concerns social processes through which populations or groups of individuals agree or disagree on specific issues. As such, modelling opinion dynamics represents an important research area that has been progressively…

Physics and Society · Physics 2013-09-06 Alina Sîrbu , Vittorio Loreto , Vito D. P. Servedio , Francesca Tria

The diffusion of opinions in Social Networks is a relevant process for adopting positions and attracting potential voters in political campaigns. Opinion polarization, bias, targeted diffusion, and the radicalization of postures are key…

Physics and Society · Physics 2022-01-10 Didier A. Vega-Oliveros , Helder L. C. Grande , Flavio Iannelli , Federico Vazquez

We study a continuous-time version of the Hegselmann-Krause model describing the opinion dynamics of interacting agents subject to random perturbations. Mathematically speaking, the opinion of agents is modelled by an interacting particle…

Probability · Mathematics 2024-11-25 Li Chen , Paul Nikolaev , David J. Prömel

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 study a model for continuous-opinion dynamics under bounded confidence. In particular, we analyze the importance of the initial distribution of opinions in determining the asymptotic configuration. Thus, we sketch the structure of…

Physics and Society · Physics 2016-02-23 Adrian Carro , Raul Toral , Maxi San Miguel

Recent advances in Large Language Models (LLMs) have enabled multi-agent systems that simulate real-world interactions with near-human reasoning. While previous studies have extensively examined biases related to protected attributes such…

Artificial Intelligence · Computer Science 2025-06-03 Min Choi , Keonwoo Kim , Sungwon Chae , Sangyeob Baek

Agent-based models are versatile tools for studying how societal opinion change, including political polarization and cultural diffusion, emerges from individual behavior. This study expands agents' psychological realism using…

Multiagent Systems · Computer Science 2017-02-22 Peter Duggins

In a recent work [Shao $et$ $al$ 2009 Phys. Rev. Lett. \textbf{108} 018701], a nonconsensus opinion (NCO) model was proposed, where two opinions can stably coexist by forming clusters of agents holding the same opinion. The NCO model on…

Physics and Society · Physics 2015-05-20 Han-Xin Yang , Liang Huang

Designing feasible control strategies for opinion dynamics in complex social systems has never been an easy task. It requires a control protocol which 1) is not enforced on all individuals in the society, and 2) does not exclusively rely on…

Physics and Society · Physics 2019-02-27 Wei Su , Xianzhong Chen , Yongguang Yu , Ge Chen

We introduce a novel non-cooperative game to analyse opinion formation and resistance, incorporating principles from social psychology such as confirmation bias, resource constraints, and influence penalties. Our simulation features Large…

Artificial Intelligence · Computer Science 2025-09-03 Amin Qasmi , Usman Naseem , Mehwish Nasim

We propose a three-state microscopic opinion formation model for the purpose of simulating the dynamics of financial markets. In order to mimic the heterogeneous composition of the mass of investors in a market, the agent-based model…

Physics and Society · Physics 2019-05-14 Bernardo J. Zubillaga , André L. M. Vilela , Chao Wang , Kenric P. Nelson , H. Eugene Stanley

The effects of interpersonal interactions on individual's agreements result in a social aggregation process which is reflected in the formation of collective states, as for instance, groups of individuals with a similar opinion about a…

Physics and Society · Physics 2017-02-08 Pablo Balenzuela , Juan Pablo Pinasco , Viktoriya Semeshenko

We consider a stochastic, continuous state and time opinion model where each agent's opinion locally interacts with other agents' opinions in the system, and there is also exogenous randomness. The interaction tends to create clusters of…

Social and Information Networks · Computer Science 2016-02-29 Josselin Garnier , George Papanicolaou , Tzu-Wei Yang

In several real \emph{Multi-Agent Systems} (MAS), it has been observed that only weaker forms of\emph{metastable consensus} are achieved, in which a large majority of agents agree on some opinion while other opinions continue to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-05 Francesco d'Amore , Andrea Clementi , Emanuele Natale