A framework for continuum modeling of opinion dynamics on a network based on the probability of connections
Abstract
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 aimed to approximate the distribution of opinions and the probability that two given opinions are connected. To illustrate our framework, we focused on a simple model of consensus dynamics on a network and derived a continuum description using techniques inspired by mean-field limits. We also discussed the limitations of this approach and suggested extensions to account for dynamic networks with evolving connections, stochastic effects, and directional interactions.
Fields of Study & Subjects
Opinion Dynamics and Social Influence
Complex Network Analysis Techniques
Publication details
- Journal / source
- Networks and Heterogeneous Media
- Volume
- 21
- Issue
- 2
- Pages
- 594–631
- Publication date
- 1 January 2026
- Language
- EN