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We propose a modeling framework to develop a continuum description of opinion dynamics on networks as an alternative to other models, like the ones based on graphons. In a nutshell, the continuum model that we propose aims at approximating…

Analysis of PDEs · Mathematics 2026-03-16 Gianluca Favre , Gaspard Jankowiak , Sara Merino-Aceituno , Lara Trussardi

In many social situations, a discrepancy arises between an individual's private and expressed opinions on a given topic. Motivated by Solomon Asch's seminal experiments on social conformity and other related socio-psychological works, we…

Social and Information Networks · Computer Science 2024-10-25 Mengbin Ye , Yuzhen Qin , Alain Govaert , Brian D. O. Anderson , Ming Cao

Opinion dynamics is crucial for unraveling the complexities of human interaction in the information age. How to speed up consensus without disturbing the fate of the system is key for opinion dynamics. We propose a voter model on adaptive…

Physics and Society · Physics 2023-12-12 Xunlong Wang , Bin Wu

A long line of work in social psychology has studied variations in people's susceptibility to persuasion -- the extent to which they are willing to modify their opinions on a topic. This body of literature suggests an interesting…

Social and Information Networks · Computer Science 2018-01-29 Rediet Abebe , Jon Kleinberg , David Parkes , Charalampos E. Tsourakakis

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

Physics and Society · Physics 2023-12-06 Yu Xing , Karl H. Johansson

Opinion formation is an important element of social dynamics. It has been widely studied in the last years with tools from physics, mathematics and computer science. Here, a continuous model of opinion dynamics for multiple possible choices…

Physics and Society · Physics 2014-01-28 Alina Sîrbu , Vittorio Loreto , Vito D. P. Servedio , Francesca Tria

Among different aspects of social networks, dynamics have been proposed to simulate how opinions can be transmitted. In this study, we propose a model that simulates the communication in an online social network, in which the posts are…

Social and Information Networks · Computer Science 2022-01-11 Henrique F. de Arruda , Felipe M. Cardoso , Guilherme F. de Arruda , Alexis R. Hernández , Luciano da F. Costa , Yamir Moreno

The study of opinions $-$ e.g., their formation and change, and their effects on our society $-$ by means of theoretical and numerical models has been one of the main goals of sociophysics until now, but it is one of the defining topics…

Physics and Society · Physics 2015-09-03 Francesca Giardini , Daniele Vilone , Rosaria Conte

Opinion dynamics have attracted the interest of researchers from different fields. Local interactions among individuals create interesting dynamics for the system as a whole. Such dynamics are important from a variety of perspectives. Group…

Physics and Society · Physics 2020-07-10 Hossein Noorazar

Online social media platforms enable influencers to distribute content and quickly capture audience reactions, significantly shaping their promotional strategies and advertising agreements. Understanding how sentiment dynamics and emotional…

Social and Information Networks · Computer Science 2025-11-20 Yulong He , Anton V. Proskurnikov , Artem Sedakov

We study a two states opinion formation model driven by PageRank node influence and report an extensive numerical study on how PageRank affects collective opinion formations in large-scale empirical directed networks. In our model the…

Physics and Society · Physics 2015-06-09 Young-Ho Eom , Dima L. Shepelyansky

We study the evolution of opinions (or beliefs) over a social network modeled as a signed graph. The sign attached to an edge in this graph characterizes whether the corresponding individuals or end nodes are friends (positive links) or…

Social and Information Networks · Computer Science 2015-08-17 Guodong Shi , Alexandre Proutiere , Mikael Johansson , John S. Baras , Karl H. Johansson

Socio-psychological studies have identified a common phenomenon where an individual's public actions do not necessarily coincide with their private opinions, yet most existing models fail to capture the dynamic interplay between these two…

Social and Information Networks · Computer Science 2025-11-12 Chen Song , Vladimir Cvetkovic , Rong Su

We propose a model of opinion formation on resource allocation among multiple topics by multiple agents, who are subject to hard budget constraints. We define a utility function for each agent and then derive a projected dynamical system…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Prashil Wankhede , Nirabhra Mandal , Sonia Martínez , Pavankumar Tallapragada

Traditional models of opinion dynamics, in which the nodes of a network change their opinions based on their interactions with neighboring nodes, consider how opinions evolve either on time-independent networks or on temporal networks with…

Physics and Society · Physics 2023-03-13 Weiqi Chu , Mason A. Porter

We develop a sequence of models describing information transmission and decision dynamics for a network of individual agents subject to multiple sources of influence. Our general framework is set in the context of an impending natural…

Physics and Society · Physics 2015-06-05 Danielle S. Bassett , David L. Alderson , Jean M. Carlson

The opinion dynamics of economic agents is modeled with the link structure influenced by the resulting opinions: Links between people of nearly the same opinion are more stable than those between people of vastly different opinions. A…

Disordered Systems and Neural Networks · Physics 2007-05-23 Dietrich Stauffer , Martin Hohnisch , Sabine Pittnauer

We investigate the formation of opinion against authority in an authoritarian society composed of agents with different levels of authority. We explore a "dissenting" opinion, held by lower-ranking, obedient, or less authoritative people,…

Physics and Society · Physics 2018-04-10 Eun Lee , Petter Holme , Sang Hoon Lee

We study opinion dynamics in a population of interacting adaptive agents voting on a set of complex multidimensional issues. We consider agents which can classify issues into for or against. The agents arrive at the opinions about each…

Physics and Society · Physics 2009-03-11 Renato Vicente , Andre C. R. Martins , Nestor Caticha

Distributed averaging is one of the simplest and most studied network dynamics. Its applications range from cooperative inference in sensor networks, to robot formation, to opinion dynamics. A number of fundamental results and examples…

Systems and Control · Computer Science 2016-03-04 Giacomo Como , Fabio Fagnani