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Social interactions influence our thoughts, opinions and actions. In this paper, social interactions are studied within a group of individuals composed of influential social leaders and followers. Each person is assumed to maintain a social…

Systems and Control · Computer Science 2014-02-25 Zhen Kan , Justin Klotz , Eduardo L. Pasiliao , Warren E. Dixon

Mechanistic and tractable mathematical models play a key role in understanding how social influence shapes public opinions. Recently, a weighted-median mechanism has been proposed as a new micro-foundation of opinion dynamics and validated…

Systems and Control · Electrical Eng. & Systems 2022-12-20 Wenjun Mei , Julien M. Hendrickx , Ge Chen , Francesco Bullo , Florian Dörfler

With the advent of online networks, societies are substantially more connected with individual members able to easily modify and maintain their own social links. Here, we show that active network maintenance exposes agents to confirmation…

Physics and Society · Physics 2016-11-23 V. Ngampruetikorn , Greg J Stephens

We consider the evolution of correlation functions in a non-Markov version of the contact model in the continuum. The memory effects are introduced by assuming the fractional evolution equation for the statistical dynamics. This leads to a…

Mathematical Physics · Physics 2014-12-02 Anatoly N. Kochubei , Yuri G. Kondratiev

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

We investigate the long-time dynamics of an opinion formation model inspired by a work by Borghesi, Bouchaud and Jensen. Firstly, we derive a Fokker-Planck type equation under the assumption that interactions between individuals produce…

Analysis of PDEs · Mathematics 2016-07-22 Pierre Degond , Jian-Guo Liu , Sara Merino-Aceituno , Thomas Tardiveau

The empirical validation of models remains one of the most important challenges in opinion dynamics. In this contribution, we report on recent developments on combining data from survey experiments with computational models of opinion…

Physics and Society · Physics 2023-07-24 Sven Banisch , Hawal Shamon

Consensus formation is a central problem in collective behavior. In this work, we develop quantum models of opinion dynamics that can be exactly solved and implemented on current quantum hardware. By exploiting quantum superposition,…

Physics and Society · Physics 2026-03-10 Xingyu Guo , Xiaoyang Wang , Lingxiao Wang

Models of opinion dynamics aim to capture how individuals' opinions change when they interact with each other. One well-known model of opinion dynamics is the Deffuant--Weisbuch (DW) model, which is a type of bounded-confidence model (BCM).…

Physics and Society · Physics 2026-05-25 Leila Thompsky , Yuexuan Yolanda Wu , Mason A. Porter , Jiajie Luo

Many models have been proposed to analyze the evolution of opinion structure due to the interaction of individuals in their social environment. Such models analyze the spreading of ideas both in completely interacting backgrounds and on…

Physics and Society · Physics 2015-03-13 F. Gargiulo , S. Huet

In this manuscript, we introduce and study a variant of the agent-based opinion dynamics proposed in a recent work [8], within the framework of an interacting multi-agent system, where agents are assumed to interact with each other and…

Probability · Mathematics 2026-01-30 Fei Cao , Roberto Cortez

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

In the bounded confidence model the opinions of a set of agents evolve over discrete time steps. In each round an agent averages the opinion of all agents whose opinions are at most a certain threshold apart. Here we assume that the…

Physics and Society · Physics 2025-12-23 Sascha Kurz

We present a stochastic imitation-based model of opinion dynamics in which agents balance social conformity with responsiveness to an external signal. The model captures how populations evolve between two binary opinion states, driven by…

Physics and Society · Physics 2025-08-12 Federica De Domenico , Fabio Caccioli , Giacomo Livan

A general model of opinion dynamics is introduced in which each individual's opinion is measured on a bounded continuous spectrum. Each opinion is influenced heterogeneously by every other opinion in the population. It is demonstrated that…

Physics and Society · Physics 2021-10-22 Joseph William Baron

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

Opinion dynamics - the research field dealing with how people's opinions form and evolve in a social context - traditionally uses agent-based models to validate the implications of sociological theories. These models encode the causal…

Social and Information Networks · Computer Science 2020-06-03 Corrado Monti , Gianmarco De Francisci Morales , Francesco Bonchi

We propose a new model of opinion formation, the Opinion Changing Rate (OCR) model. Instead of investigating the conditions that allow consensus in a world of agents with different opinions, we study under which conditions a group of agents…

Other Condensed Matter · Physics 2007-05-23 A. Pluchino , V. Latora , A. Rapisarda

Advanced opinion dynamics modeling is vital for deciphering social behavior, emphasizing its role in mitigating polarization and securing cyberspace. To synergize mechanistic interpretability with data-driven flexibility, recent studies…

Artificial Intelligence · Computer Science 2026-02-06 Chenghua Gong , Yihang Jiang , Hao Li , Rui Sun , Juyuan Zhang , Tianjun Gu , Liming Pan , Linyuan Lü

We analyze Hegselmann-Krause opinion formation models with leadership in presence of time delay effects. In particular, we consider a model with pointwise time variable time delay and a model with a distributed delay. In both cases we show…

Optimization and Control · Mathematics 2023-08-30 Alessandro Paolucci , Cristina Pignotti