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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

Modelling efforts in opinion dynamics have to a large extent ignored that opinion exchange between individuals can also have an effect on how willing they are to express their opinion publicly. Here, we introduce a model of public opinion…

Physics and Society · Physics 2020-10-14 Felix Gaisbauer , Eckehard Olbrich , Sven Banisch

The rise of digital social media has strengthened the coevolution of public opinions and social interactions, that shape social structures and collective outcomes in increasingly complex ways. Existing literature often explores this…

Physics and Society · Physics 2024-09-20 Nataša Djurdjevac Conrad , Nhu Quang Vu , Sören Nagel

Accurate modeling of opinion dynamics has the potential to help us understand polarization and what makes effective political discourse possible or impossible. Here, we use physics-based methods to model the evolution of political opinions…

Physics and Society · Physics 2020-10-07 David Sabin-Miller , Daniel M. Abrams

I develop a rather simple agent-based model to capture a co-evolution of opinion formation, political decision making and economic outcomes. I use this model to study how societies form opinions if their members have opposing interests.…

General Economics · Economics 2021-11-19 Patrick Mellacher

We provide an agent-based model to explain the emergence of collective opinions not based on feedback between different opinions, but based on emotional interactions between agents. The driving variable is the emotional state of agents,…

Physics and Society · Physics 2019-09-02 Frank Schweitzer , Tamas Krivachy , David Garcia

We investigate different opinion formation models on adaptive network topologies. Depending on the dynamical process, rewiring can either (i) lead to the elimination of interactions between agents in different states, and accelerate the…

Physics and Society · Physics 2009-09-29 Cecilia Nardini , Balazs Kozma , Alain Barrat

We introduce the incremental voter model (IVM), a discrete-opinion multi-agent system where agents undergo step-wise transitions biased by the opinion of a randomly selected persuader. Our incremental voter model comprises a large…

Multiagent Systems · Computer Science 2026-05-29 Fei Cao , Xiaoqian Gong

In the modelling of social systems, opinion latency is the idea that once an agent changes its opinion, there will be a period of time where it is immune to other changes. When added to the voter model this leads to a situation where no…

Physics and Society · Physics 2026-02-24 Ryan W. Salatti , André M. Timpanaro

We investigate mean-field dynamics of a nonlinear opinion formation model with congregator and contrarian agents. Each agent assumes one of the two possible states. Congregators imitate the state of other agents with a rate that increases…

Physics and Society · Physics 2013-12-25 Shoma Tanabe , Naoki Masuda

While the number and variety of models to explain opinion exchange dynamics is huge, attempts to justify the model results using empirical data are relatively rare. As linking to real data is essential for establishing model credibility,…

Physics and Society · Physics 2015-05-18 Sven Banisch , Tanya Araújo

We introduce a model of opinion dynamics based on networked non-linear differential equations. The model combines a linear attraction with a repulsive hyperbolic tangent interaction, labeled controversialness. For low controversialness the…

Physics and Society · Physics 2025-12-08 Jake Boyce , Matteo Farina , Jody McKerral , Sergiy Shelyag , Mathew Zuparic

The dynamics of opinion formation in a society is a complex phenomenon where many variables play an important role. Recently, the influence of algorithms to filter which content is fed to social networks users has come under scrutiny.…

This mini-review presents extensions of the voter model that incorporate various plausible features of real decision-making processes by individuals. Although these generalizations are not calibrated by empirical data, the resulting…

Physics and Society · Physics 2019-07-31 S. Redner

This paper gives lower bounds for the probability of consensus for two spatially explicit stochastic opinion models. Both processes are characterized by two finite connected graphs, that we call respectively the spatial graph and the…

Probability · Mathematics 2019-12-17 Mela Hardin , Nicolas Lanchier

How should one combine noisy information from diverse sources to make an inference about an objective ground truth? This frequently recurring, normative question lies at the core of statistics, machine learning, policy-making, and everyday…

Multiagent Systems · Computer Science 2020-01-29 Silviu Pitis , Michael R. Zhang

Model-based Reinforcement Learning approaches have the promise of being sample efficient. Much of the progress in learning dynamics models in RL has been made by learning models via supervised learning. But traditional model-based…

Machine Learning · Computer Science 2019-06-12 Shagun Sodhani , Anirudh Goyal , Tristan Deleu , Yoshua Bengio , Sergey Levine , Jian Tang

We present a full stochastic description of the pair approximation scheme to study binary-state dynamics on heterogeneous networks. Within this general approach, we obtain a set of equations for the dynamical correlations, fluctuations and…

Physics and Society · Physics 2018-11-05 A. F. Peralta , A. Carro , M. San Miguel , R. Toral

We introduce a probabilistic pairwise \emph{attraction--repulsion} model for opinion dynamics on multilayer social networks, in which agents hold layer-specific states and interact through random matchings that couple multiple, time-varying…

Dynamical Systems · Mathematics 2025-12-23 Hsin-Lun Li

Interaction with others influences our opinions and behaviours. Our activities within various social circles lead to different opinions expressed in various situations, groups, and ways of communication. Earlier studies on agent-based…

Social and Information Networks · Computer Science 2024-03-08 Stanisław Stępień , Jarosław Jankowski , Piotr Bródka , Radosław Michalski