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Opinion dynamics is an important and very active area of research that delves into the complex processes through which individuals form and modify their opinions within a social context. The ability to comprehend and unravel the mechanisms…

Physics and Society · Physics 2025-03-19 Giacomo Albi , Elisa Calzola , Giacomo Dimarco

We survey some recent developments on the mathematical modeling of opinion dynamics. After an introduction on opinion modeling through interacting multi-agent systems described by partial differential equations of kinetic type, we focus our…

Physics and Society · Physics 2016-07-21 Giacomo Albi , Lorenzo Pareschi , Giuseppe Toscani , Mattia Zanella

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

We introduce and discuss kinetic models of opinion formation on social networks in which the distribution function depends on both the opinion and the connectivity of the agents. The opinion formation model is subsequently coupled with a…

Physics and Society · Physics 2018-08-22 G. Toscani , A. Tosin , M. Zanella

In this paper we propose a novel control approach for opinion dynamics on evolving networks. The controls modify the strength of connections in the network, rather than influencing opinions directly, with the overall goal of steering the…

Physics and Society · Physics 2024-04-16 Andrew Nugent , Susana N. Gomes , Marie-Therese Wolfram

Social media has emerged as a significant source of information for people. As agents interact with each other through social media platforms, they create numerous complex social networks. Within these networks, information spread among…

Physics and Society · Physics 2023-03-07 Jiarui Dong , Yi-Cheng Zhang , Yixiu Kong

Recent years saw an increased interest in modeling and understanding the mechanisms of opinion and innovation spread through human networks. Using analysis of real-world social data, researchers are able to gain a better understanding of…

Social and Information Networks · Computer Science 2016-03-29 Ajay Saini , Natasha Markuzon

We introduce new kinetic equations modeling opinion dynamics inside a population of individuals, whose propensity to interact with each other is described by their level of social activity. We show that opinion polarization can arise among…

Analysis of PDEs · Mathematics 2025-11-27 Andrea Bondesan , Jacopo Borsotti

We propose a modified Vicsek-like model to study influence dynamics and opinion formation in social networks. We work on the premise that opinions of members of a group may be considered to be analogous to the direction of motion of a…

Social and Information Networks · Computer Science 2018-09-03 Narayani Vedam , Debasish Ghose

Understanding the impact of collective social phenomena in epidemic dynamics is a crucial task to effectively contain the disease spread. In this work we build a mathematical description for assessing the interplay between opinion…

Physics and Society · Physics 2023-03-10 Mattia Zanella

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

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 work we are interested in the modelling and control of opinion dynamics spreading on a time evolving network with scale-free asymptotic degree distribution. The mathematical model is formulated as a coupling of an opinion alignment…

Optimization and Control · Mathematics 2015-11-03 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

Opinion dynamics is of paramount importance as it provides insights into the complex dynamics of opinion propagation and social relationship adjustment. It is assumed in most of the previous works that social relationships evolve much…

Physics and Society · Physics 2024-04-05 Xunlong Wang , Bin Wu

Social interactions influence people's opinions. In some situations, these interactions eventually yield a consensus opinion; in others, they can lead to opinion fragmentation and the formation of different opinion groups in the form of…

Physics and Society · Physics 2025-08-01 Lasse Mohr , Poul G. Hjorth , Mason A. Porter

Motivated by the literature on opinion dynamics and evolutionary game theory, we propose a novel mathematical framework to model the intertwined coevolution of opinions and decision-making in a complex social system. In the proposed…

Social and Information Networks · Computer Science 2021-03-02 Lorenzo Zino , Mengbin Ye , Ming Cao

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

The focus of this work is on designing influencing strategies to shape the collective opinion of a network of individuals. We consider a variant of the voter model where opinions evolve in one of two ways. In the absence of external…

Social and Information Networks · Computer Science 2020-02-04 Anmol Gupta , Sharayu Moharir , Neeraja Sahasrabudhe

We hereby propose a model of opinion dynamics where individuals update their beliefs because of interactions in acquaintances' group. The model exhibit a non trivial behavior that we discuss as a function of the main involved parameters.…

Physics and Society · Physics 2008-08-04 Timoteo Carletti , Simone Righi

After the recent COVID-19 outbreaks, it became increasingly evident that individuals' thoughts and beliefs can have a strong impact on disease transmission. It becomes therefore important to understand how information and opinions on…

Physics and Society · Physics 2024-09-27 Giacomo Albi , Elisa Calzola , Giacomo Dimarco , Mattia Zanella
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