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Interest is growing in social learning models where users share opinions and adjust their beliefs in response to others. This paper introduces generalized-bias opinion models, an extension of the DeGroot model, that captures a broader range…

Social and Information Networks · Computer Science 2024-09-18 Juan Paz , Camilo Rocha , Luis Tobòn , Frank Valencia

This paper presents a mathematical model for opinion dynamics in popularity-adaptive social networks, where both opinion spreading and the evolution of social media contacts depend on agents' popularity and the prominence of their views.…

Optimization and Control · Mathematics 2026-03-04 Giacomo Albi , Elisa Calzola , Matteo Piu

The voter model consists of a set of agents whose opinion is a binary variable. At each time step, an agent along with a social neighbor is selected and the agent imitates the social neighbor at the next time step. In this paper, we study a…

Probability · Mathematics 2023-07-06 Hsin-Lun Li

The bounded confidence model represents a widely adopted framework for modeling opinion dynamics wherein actors have a continuous-valued opinion and interact and approach their positions in the opinion space only if their opinions are…

Physics and Society · Physics 2024-11-22 Irene Ferri , Emanuele Cozzo , Aleix Nicolas-Olive , Albert Diaz-Guilera , Luce Prignano

We consider a network of interacting agents and we model the process of choice on the adoption of a given innovative product by means of statistical-mechanics tools. The modelization allows us to focus on the effects of direct interactions…

Physics and Society · Physics 2015-02-24 Paolo Sgrignoli , Elena Agliari , Raffaella Burioni , Augusto Schianchi

The dynamics of opinion formation in large groups of people is a complex non-linear phenomenon whose investigation is just at the beginning. Both collective behaviour and personal view play an important role in this mechanism. In the…

Physics and Society · Physics 2010-02-17 M. Bartolozzi , B. Leinweber , A. W. Thomas

We consider a nonlinear kinetic equation of Boltzmann type which takes into account the influence of conviction during the formation of opinion in a system of agents which interact through the binary exchanges introduced in [G. Toscani,…

Physics and Society · Physics 2015-12-09 Carlo Brugna , Giuseppe Toscani

Recent studies show that many types of human social activities, from scientific collaborations to sexual contacts, can be understood in terms of complex network of interactions. Such networking paradigm allows to model many aspects of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Pawel Sobkowicz

Accurately simulating human opinion dynamics is crucial for understanding a variety of societal phenomena, including polarization and the spread of misinformation. However, the agent-based models (ABMs) commonly used for such simulations…

We investigate how information-spreading mechanisms affect opinion dynamics and vice-versa via an agent-based simulation on adaptive social networks. First, we characterize the impact of reposting on user behavior with limited memory, a…

Physics and Society · Physics 2024-10-23 Kleber A. Oliveira , Henrique F. de Arruda , Yamir Moreno

We use a model of opinion formation to study the consequences of some mechanisms attempting to enforce the right behaviour in a society. We start from a model where the possible choices are not equivalent (such is the case when the agents…

Physics and Society · Physics 2012-12-18 M. F. Laguna , G. Abramson , J. R. Iglesias

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

As scientists we like to think that modern societies and their members base their views, opinions and behaviour on scientific facts. This is not necessarily the case, even though we are all (over-) exposed to information flow through…

Physics and Society · Physics 2014-06-04 Gerardo Iñiguez , Julia Tagüeña-Martínez , Kimmo K. Kaski , R. A. Barrio

We analyze the critical behavior of a class of discrete opinion models in the presence of disorder. Within this class, each agent opinion takes a discrete value ($\pm 1$ or 0) and its time evolution is ruled by two terms, one representing…

Physics and Society · Physics 2012-12-24 Nuno Crokidakis , Celia Anteneodo

Opinion dynamics, the study of how individual beliefs and collective public opinion evolve, is a fertile domain for applying statistical physics to complex social phenomena. Like physical systems, societies exhibit macroscopic regularities…

The cognitive process of opinion formation is often characterized by stubbornness or resistance of agents to changes of opinion. To capture such a feature we introduce a constant latency time in the standard voter model of opinion dynamics:…

Physics and Society · Physics 2024-08-27 Giovanni Palermo , Anna Mancini , Antonio Desiderio , Riccardo Di Clemente , Giulio Cimini

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

Opinion dynamics models how the publicly expressed opinions of users in a social network coevolve according to their neighbors as well as their own intrinsic opinion. Motivated by the real-world manipulation of social networks during the…

Social and Information Networks · Computer Science 2026-01-22 Akhil Jalan , Marios Papachristou

We study the transient behavior of a gossip model, in which agents randomly interact pairwise over a weighted graph with two communities. Edges within each community have identical weights, different from the weights between communities. It…

Systems and Control · Electrical Eng. & Systems 2023-04-26 Yu Xing , Karl H. Johansson

In traditional models of opinion dynamics, each agent in a network has an opinion and changes in opinions arise from pairwise (i.e., dyadic) interactions between agents. However, in many situations, groups of individuals possess a…

Physics and Society · Physics 2025-04-15 Corbit R. Sampson , Juan G. Restrepo , Mason A. Porter
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