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arXiv · 2406.18076

A framework for continuum modeling of opinion dynamics on a network based on probability of connections

Gianluca Favre·Gaspard Jankowiak·Sara Merino-Aceituno·Lara Trussardi
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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 aims at approximating the distribution of opinions as well as the probability that two given opinions are connected. To illustrate our framework, we focus on a simple model of consensus dynamics on a network and derive a continuum description using techniques inspired by mean-field limits. We also discuss the limitations of this approach and suggest extensions to account for dynamic networks with evolving connections, stochastic effects, and directional interactions.

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Gianluca Favre, Gaspard Jankowiak, Sara Merino-Aceituno, Lara Trussardi. 2026-03-13. A framework for continuum modeling of opinion dynamics on a network based on probability of connections. https://arxiv.org/abs/2406.18076

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