Work

A nonlinear model of evolution of beliefs in social networks

Year: 2025

Type: article

Abstract: The main goal of this paper is to introduce a new model of evolvement of beliefs on networks. It generalizes the DeGroot model and describes the iterative process of establishing the consensus in isolated social networks in the case of nonlinear aggregation functions. Our main tools come from mean theory and graph theory. The case, when the root set of the network (influencers, news agencies, etc.) is ergodic is fully discussed. The other possibility, when the root contains more than one component, is partially discussed and it could be a motivation for further research.

Source: Network Science

DOI: 10.1017/nws.2025.10012

Authors: Pál Burai, Paweł Pasteczka

Institutions: Budapest University of Technology and Economics, University of Rzeszów

Language: English

Topic: Opinion Dynamics and Social Influence

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funder: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal