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Related papers: Opinion Dynamics on Signed Graphs and Graphons

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In this paper we make use of graphon theory to study opinion dynamics on large undirected networks. The opinion dynamics models that we take into consideration allow for negative interactions between the individuals, i.e. competing entities…

Physics and Society · Physics 2024-09-04 Raoul Prisant , Federica Garin , Paolo Frasca

The study of network supported opinion dynamics in large groups of autonomous agents is attracting an increasing interest during the last years. In this paper, we proposed the use of the recent graphon theory to model and simulate an…

Classical Analysis and ODEs · Mathematics 2022-06-22 Giacomo Aletti , Giovanni Naldi

A signed graph offers richer information than an unsigned graph, since it describes both collaborative and competitive relationships in social networks. In this paper, we study opinion dynamics on a signed graph, based on the…

Social and Information Networks · Computer Science 2024-07-18 Xiaotian Zhou , Haoxin Sun , Wanyue Xu , Wei Li , Zhongzhi Zhang

Understanding the mutual influence between social behavior and physical health is crucial for designing effective epidemic mitigation strategies. Individual interactions drive the evolution of opinions, which in turn shape how infectious…

Physics and Society · Physics 2026-05-15 Abu Safyan Ali , Elisa Calzola , Giacomo Dimarco , Lorenzo Pareschi , Thomas Rey

We propose and analyze a mathematical model for the evolution of opinions on directed complex networks. Our model generalizes the popular DeGroot and Friedkin-Johnsen models by allowing vertices to have attributes that may influence the…

Probability · Mathematics 2024-01-11 Nicolas Fraiman , Tzu-Chi Lin , Mariana Olvera-Cravioto

Opinion dynamics is a central subject of computational social science, and various models have been developed to understand the evolution and formulation of opinions. Existing models mainly focus on opinion dynamics on graphs that only…

Social and Information Networks · Computer Science 2023-10-10 Wanyue Xu , Zhongzhi Zhang

A graphon is a limiting object used to describe the behaviour of large networks through a function that captures the probability of edge formation between nodes. Although the merits of graphons to describe large and unlabelled networks are…

Methodology · Statistics 2024-08-23 Charles Dufour , Sofia C. Olhede

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

A signed network is a network with each link associated with a positive or negative sign. Models for nodes interacting over such signed networks, where two different types of interactions take place along the positive and negative links,…

Social and Information Networks · Computer Science 2018-11-14 Guodong Shi , Claudio Altafini , John S. Baras

Social learning algorithms provide models for the formation of opinions over social networks resulting from local reasoning and peer-to-peer exchanges. Interactions occur over an underlying graph topology, which describes the flow of…

Signal Processing · Electrical Eng. & Systems 2023-03-15 Valentina Shumovskaia , Konstantinos Ntemos , Stefan Vlaski , Ali H. Sayed

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

We consider the problem of estimating the topology of multiple networks from nodal observations, where these networks are assumed to be drawn from the same (unknown) random graph model. We adopt a graphon as our random graph model, which is…

Machine Learning · Statistics 2022-12-21 Madeline Navarro , Santiago Segarra

We consider two-opinion voter models on dense dynamic random graphs. Our goal is to understand and describe the occurrence of consensus versus polarisation over long periods of time. The former means that all vertices have the same opinion,…

Probability · Mathematics 2024-10-29 Simone Baldassarri , Peter Braunsteins , Frank den Hollander , Michel Mandjes

Most of the distributed protocols for multi-agent consensus assume that the agents are mutually cooperative and "trustful," and so the couplings among the agents bring the values of their states closer. Opinion dynamics in social groups,…

Systems and Control · Computer Science 2017-10-16 Anton V. Proskurnikov , Alexey Matveev , Ming Cao

In this paper we investigate the model of opinion dynamics with anticonformity on a complete graph. We show that below some threshold value of anticonformal behavior spontaneous reorientations occur between two stable states. Dealing with a…

Adaptation and Self-Organizing Systems · Physics 2015-05-27 Piotr Nyczka , Jerzy Cisło , Katarzyna Sznajd-Weron

In this work we propose and investigate a strategy to prevent consensus in kinetic models for opinion formation. We consider a large interacting agent system, and assume that agent interactions are driven by compromise as well as…

Mathematical Physics · Physics 2024-06-26 Bertram Düring , Jonathan Franceschi , Marie-Therese Wolfram , Mattia Zanella

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

We introduce kinetic models to simulate epidemic spread while accounting for individuals' opinions on protective behaviors. Opinion exchanges occur on a social network represented by a graphon, leading to scenarios with or without opinion…

Analysis of PDEs · Mathematics 2026-04-14 Andrea Bondesan , Jacopo Borsotti , Mattia Fontana

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

Opinion and belief dynamics are a central topic in the study of social interactions through dynamical systems. In this work, we study a model where, at each discrete time, all the agents update their opinion as an average of their intrinsic…

Optimization and Control · Mathematics 2024-12-05 Javiera Gutiérrez-Ramírez , David Salas , Victor Verdugo
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