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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

Hypergraphs naturally represent higher-order interactions, which persistently appear from social interactions to neural networks and other natural systems. Although their importance is well recognized, a theoretical framework to describe…

Physics and Society · Physics 2020-05-25 Guilherme Ferraz de Arruda , Michele Tizzani , Yamir Moreno

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

We propose a simple model to explore an educational phenomenon where the correct answer emerges from group discussion. We construct our model based on several plausible assumptions: (i) We tend to follow peers' opinions. However, if a…

Physics and Society · Physics 2025-05-27 Jibeom Seo , Beom Jun Kim

Network science has evolved into an indispensable platform for studying complex systems. But recent research has identified limits of classical networks, where links connect pairs of nodes, to comprehensively describe group interactions.…

Physics and Society · Physics 2022-03-24 Soumen Majhi , Matjaz Perc , Dibakar Ghosh

In this paper, we investigate a general nonlinear model of opinion dynamics in which both state-dependent susceptibility to persuasion and antagonistic interactions are considered. According to the existing literature and…

Optimization and Control · Mathematics 2018-01-29 Shidong Zhai , Wei Xing Zheng

Cooperation plays a fundamental role in societal and biological domains, and the population structure profoundly shapes the dynamics of evolution. Practically, individuals behave either altruistically or egoistically in multiple groups,…

Adaptation and Self-Organizing Systems · Physics 2024-04-05 Dini Wang , Peng Yi , Yiguang Hong , Jie Chen , Gang Yan

Individuals increasingly rely on social networking platforms to form opinions. However, these platforms typically aim to maximize engagement, which may not align with social good. In this paper, we introduce an opinion dynamics model where…

Theoretical Economics · Economics 2025-06-06 Ozan Candogan , Nicole Immorlica , Bar Light , Jerry Anunrojwong

Public discourse and opinions stem from multiple social groups. Each group has beliefs about a topic (such as vaccination, abortion, gay marriage, etc.), and opinions are exchanged and blended to produce consensus. A particular measure of…

Social and Information Networks · Computer Science 2025-04-11 Marios Papachristou , Jon Kleinberg

Identifying the most influential nodes in information networks has been the focus of many research studies. This problem has crucial applications in various contexts, such as controlling the propagation of viruses or rumours in real-world…

Social and Information Networks · Computer Science 2022-08-30 Ahmad Asgharian Rezaei , Justin Munoz , Mahdi Jalili , Hamid Khayyam

Most statistical models for networks focus on pairwise interactions between nodes. However, many real-world networks involve higher-order interactions among multiple nodes, such as co-authors collaborating on a paper. Hypergraphs provide a…

Methodology · Statistics 2025-09-16 Yichao Chen , Jingfei Zhang , Ji Zhu

We study the ordering dynamics of nonlinear voter models with multiple states, also providing a discussion of the two-state model. The rate with which an individual adopts an opinion scales as the $q$-th power of the number of the…

Physics and Society · Physics 2023-11-01 Lucía Soledad Ramirez , Federico Vazquez , Maxi San Miguel , Tobias Galla

Temporal Graph Neural Networks (TGNNs) have gained growing attention for modeling and predicting structures in temporal graphs. However, existing TGNNs primarily focus on pairwise interactions while overlooking higher-order structures that…

Machine Learning · Computer Science 2025-05-22 Jingzhe Liu , Zhigang Hua , Yan Xie , Bingheng Li , Harry Shomer , Yu Song , Kaveh Hassani , Jiliang Tang

We present an innovative framework for traffic dynamics analysis using High-Order Evolving Graphs, designed to improve spatio-temporal representations in autonomous driving contexts. Our approach constructs temporal bidirectional bipartite…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Aditya Humnabadkar , Arindam Sikdar , Benjamin Cave , Huaizhong Zhang , Paul Bakaki , Ardhendu Behera

In this paper we propose and investigate a multi-dimensional opinion dynamics model where people are characterised by both opinions and importance weights across these opinions. Opinion changes occur through binary interactions, with a…

Physics and Society · Physics 2026-01-12 Hanna Bartel , Martin Burger , Marie-Therese Wolfram

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

This paper studies the opinion dynamics model recently introduced by Hegselmann and Krause: each agent in a group maintains a real number describing its opinion; and each agent updates its opinion by averaging all other opinions that are…

Mathematical Physics · Physics 2011-04-08 Anahita Mirtabatabaei , Francesco Bullo

Opinion polarization is on the rise, causing concerns for the openness of public debates. Additionally, extreme opinions on different topics often show significant correlations. The dynamics leading to these polarized ideological opinions…

Physics and Society · Physics 2021-02-03 Fabian Baumann , Philipp Lorenz-Spreen , Igor M. Sokolov , Michele Starnini

This paper studies the opinion dynamics that result when individuals consecutively discuss a sequence of issues. Specifically, we study how individuals' self-confidence levels evolve via a reflected appraisal mechanism. Motivated by the…

Optimization and Control · Mathematics 2016-03-02 Zhi Xu , Ji Liu , Tamer Basar

Learning complex network dynamics is fundamental to understanding, modelling and controlling real-world complex systems. There are two main problems in the task of predicting the dynamic evolution of complex networks: on the one hand,…

Artificial Intelligence · Computer Science 2025-10-14 Bicheng Wang , Junping Wang , Yibo Xue
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