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Recently, significant attention has been dedicated to the models of opinion dynamics in which opinions are described by real numbers, and agents update their opinions synchronously by averaging their neighbors' opinions. The neighbors of…

Dynamical Systems · Mathematics 2011-04-08 Anahita Mirtabatabaei , Francesco Bullo

We study a simple continuous-time multi-agent system related to Krause's model of opinion dynamics: each agent holds a real value, and this value is continuously attracted by every other value differing from it by less than 1, with an…

Optimization and Control · Mathematics 2009-07-28 Vincent D. Blondel , Julien M. Hendrickx , John N. Tsitsiklis

We consider a constrained hierarchical opinion dynamics in the case of leaders' competition and with complete information among leaders. Each leaders' group tries to drive the followers' opinion towards a desired state accordingly to a…

Optimization and Control · Mathematics 2017-12-12 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

In this work we study the formation of consensus in a hierarchical population. We derive the corresponding kinetic equations, and analyze the long time behaviour of their solutions for the case of finite number of hierarchical obtaining…

Analysis of PDEs · Mathematics 2022-07-06 María Celeste Romero Longar , Nicolas Saintier , Analía Silva

In modern interconnected societies, opinions and beliefs can quickly spread across large populations, giving rise to collective behaviors such as the adoption of social norms or polarization. These phenomena have motivated many models aimed…

Physics and Society · Physics 2026-05-27 Cosimo Agostinelli , Marco Mancastroppa , Alain Barrat

We study the opinion dynamics in a population by considering a variant of Kuramoto model where the phase of an oscillator represents the opinion of an individual on a single topic. Two extreme phases separated by $\pi$ represent opposing…

Physics and Society · Physics 2025-12-04 Sidharth Pradhan , Sangeeta Rani Ujjwal

In a previous paper we proposed a model to study the dynamics of opinion formation in human societies by a co-evolution process involving two distinct time scales of fast transaction and slower network evolution dynamics. In the transaction…

Physics and Society · Physics 2012-05-22 Gerardo Iñiguez , Rafael A. Barrio , János Kertész , Kimmo K. Kaski

Understanding and quantifying polarization in social systems is important because of many reasons. It could for instance help to avoid segregation and conflicts in the society or to control polarized debates and predict their outcomes. In…

Physics and Society · Physics 2017-10-11 Tyll Krueger , Janusz Szwabiński , Tomasz Weron

Social influence is the process by which individuals adapt their opinion, revise their beliefs, or change their behavior as a result of social interactions with other people. In our strongly interconnected society, social influence plays a…

Physics and Society · Physics 2013-11-15 Mehdi Moussaid , Juliane E. Kaemmer , Pantelis P. Analytis , Hansjoerg Neth

In this work we define a kinetic model for understanding the impact of heterogeneous opinion formation dynamics on epidemics. The considered many-agent system is characterized by nonsymmetric interactions which define a coupled system of…

Physics and Society · Physics 2024-03-13 Sabrina Bonandin , Mattia Zanella

In this paper we discuss opinion dynamics in the Opinion Changing Rate (OCR) model, recently proposed (A.Pluchino, V.Latora and A.Rapisarda Int. J. Mod. Phys. C, 16, No.4, 515-531 (2005)). The OCR model allows to study whether and how a…

Physics and Society · Physics 2009-11-13 Alessandro Pluchino , Stefano Boccaletti , Vito Latora , Andrea Rapisarda

We propose and investigate different kinetic models for opinion formation, when the opinion formation process depends on an additional independent variable, e.g. a leadership or a spatial variable. More specifically, we consider:(i) opinion…

Physics and Society · Physics 2018-06-05 Bertram Düring , Marie-Therese Wolfram

In this paper we consider the modeling of opinion dynamics over time dependent large scale networks. A kinetic description of the agents' distribution over the evolving network is considered which combines an opinion update based on binary…

Numerical Analysis · Mathematics 2016-04-05 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

Three conjectures from [R. Hegselmann, The Journal of Artificial Societies and Social Simulations 26(4), 11 (2023)] about the Hegselmann-Krause opinion dynamics and the structure of $\epsilon$-switches are proved. The first conjecture…

Physics and Society · Physics 2025-08-25 Paolo Molignini

We investigate opinion dynamics and information spreading on networks under the influence of content filtering technologies. The filtering mechanism, present in many online social platforms, reduces individuals' exposure to disagreeing…

Physics and Society · Physics 2024-01-26 Antonio F. Peralta , János Kertész , Gerardo Iñiguez

A common trait involving the opinion dynamics in social networks is an anchor on interacting network to characterize the opinion formation process among participating social actors, such as information flow, cooperative and antagonistic…

Systems and Control · Electrical Eng. & Systems 2021-01-28 Wentao Zhang , Zhiqiang Zuo , Yijing Wang

This work extends the recent opinion dynamics model from Cheng et al., emphasizing the role of group pressure in consensus formation. We generalize the findings to incorporate social influence algorithms with general time-varying,…

Physics and Society · Physics 2025-03-14 Iryna Zabarianska , Anton V. Proskurnikov

Opinion formation is an important element of social dynamics. It has been widely studied in the last years with tools from physics, mathematics and computer science. Here, a continuous model of opinion dynamics for multiple possible choices…

Physics and Society · Physics 2014-01-28 Alina Sîrbu , Vittorio Loreto , Vito D. P. Servedio , Francesca Tria

The convergence rate is a crucial issue in opinion dynamics, which characterizes how quickly opinions reach a consensus and tells when the collective behavior can be formed. However, the key factors that determine the convergence rate of…

Optimization and Control · Mathematics 2024-09-17 Lingling Yao , Aming Li

This paper examines the interplay of opinion exchange dynamics and communication network formation. An opinion formation procedure is introduced which is based on an abstract representation of opinions as $k$--dimensional bit--strings.…

Adaptation and Self-Organizing Systems · Physics 2014-10-24 S. Banisch , T. Araújo , J. Louçã