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Human behavior often exhibit a scheme in which individuals adopt indifferent, neutral, or radical positions on a given topic. The mechanisms leading to community formation are strongly related with social pressure and the topology of the…

Physics and Society · Physics 2013-02-21 Marta Balbás Gambra , Erwin Frey

We propose and analyze a nonlinear dynamic model of continuous-time multi-dimensional belief formation over signed social networks. Our model accounts for the effects of a structured belief system, self-appraisal, internal biases, and…

Physics and Society · Physics 2024-07-04 Anastasia Bizyaeva , Alessio Franci , Naomi Ehrich Leonard

In this paper, we examine both stability and sustainability of a network-based model of natural resource consumption. Stability is studied from a dynamical systems perspective, though we argue that sustainability is a fundamentally…

Optimization and Control · Mathematics 2019-01-11 Matthew T. Hale , Sebastian F. Ruf , Talha Manzoor , Abubakr Muhammad

In this work we present a strategic network formation model predicting the emergence of multigroup structures. Individuals decide to form or remove links based on the benefits and costs those connections carry; we focus on bilateral consent…

Social and Information Networks · Computer Science 2020-01-30 Shadi Mohagheghi , Jingying Ma , Francesco Bullo

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

How do networks of relationships evolve over time? We analyse a dataset tracking the social interactions of 900 individuals over four years. Despite continuous shifts in individual relationships, the macroscopic structural properties of the…

Physics and Society · Physics 2025-06-04 Miguel A. González-Casado , Andreia Sofia Teixeira , Angel Sánchez

The formation of social networks and the evolution of their structures have been of interest to researchers for many decades. We wish to answer questions about network stability, group formation and popularity effects. We propose a latent…

Methodology · Statistics 2020-05-19 Daniel K. Sewell , Yuguo Chen

We present a dynamical theory of opinion formation that takes explicitly into account the structure of the social network in which in- dividuals are embedded. The theory predicts the evolution of a set of opinions through the social network…

Other Condensed Matter · Physics 2007-05-23 Fang Wu , Bernardo A. Huberman

We model a close-knit community of friends and enemies as a fully connected network with positive and negative signs on its edges. Theories from social psychology suggest that certain sign patterns are more stable than others. This notion…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Seth A. Marvel , Steven H. Strogatz , Jon M. Kleinberg

The proliferation of social media platforms, recommender systems, and their joint societal impacts have prompted significant interest in opinion formation and evolution within social networks. We study how local edge dynamics can drive…

Social and Information Networks · Computer Science 2022-12-12 Nikita Bhalla , Adam Lechowicz , Cameron Musco

The dynamical process of opinion formation within a model using a local majority opinion updating rule is studied numerically in networks with the small-world geometrical property. The network is one in which shortcuts are added to randomly…

Physics and Society · Physics 2009-11-11 Ping-Ping Li , Da-Fang Zheng , P. M. Hui

In this paper, a model for a spatial network evolution based on a Metropolis simulation is presented. The model uses an energy function that depends both on the distance between the nodes and the stated preferences. The agents influence…

Physics and Society · Physics 2019-10-23 André C. R. Martins

Opinion polarization is a ubiquitous phenomenon in opinion dynamics. In contrast to the traditional consensus oriented group decision making (GDM) framework, this paper proposes a framework with the co-evolution of both opinions and…

Social and Information Networks · Computer Science 2017-05-18 Qingxing Dong , Xin Zhou

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

We present a new model for reasoning about the way information is shared among friends in a social network, and the resulting ways in which it spreads. Our model formalizes the intuition that revealing personal information in social…

Computer Science and Game Theory · Computer Science 2010-03-03 Jon Kleinberg , Katrina Ligett

It is not uncommon for certain social networks to divide into two opposing camps in response to stress. This happens, for example, in networks of political parties during winner-takes-all elections, in networks of companies competing to…

Adaptation and Self-Organizing Systems · Physics 2015-05-20 Seth A. Marvel , Jon M. Kleinberg , Robert D. Kleinberg , Steven H. Strogatz

The massive amount of text data on the web has facilitated research on the quantitative analysis of public opinion, which could not be visualized earlier. In this paper, we propose a new opinion dynamics theory. This theory that is intended…

Physics and Society · Physics 2019-01-01 Akira Ishii , Yasuko Kawahata

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 consider a certain class of nonlinear maps that preserve the probability simplex, i.e., stochastic maps, that are inspired by the DeGroot-Friedkin model of belief/opinion propagation over influence networks. The corresponding dynamical…

Systems and Control · Computer Science 2018-10-11 Zahra Askarzadeh , Rui Fu , Abhishek Halder , Yongxin Chen , Tryphon T. Georgiou

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