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Influence, inertia, and independence: a diffusion model for temporal social networks

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  • Gordana Marmulla
  • Ulrik Brandes

Abstract

In this work, we propose a diffusion model for temporal social networks and relate it to other well-known models of social influence by investigating its formal properties. The model establishes dyadic influence weights based on two antagonistic components: the susceptibility to be influenced (or, conversely, inertia with respect to the status quo) and becoming independent of prior influence. The proposed model generalizes the Friedkin-Johnsen model by the inertia with respect to the current influence relationships. We show that this generalization is an over-parameterization for static but not for dynamic influence networks. These findings suggest that the model at hand expands the set of existing social influence models in a non-trivial way.

Suggested Citation

  • Gordana Marmulla & Ulrik Brandes, 2024. "Influence, inertia, and independence: a diffusion model for temporal social networks," The Journal of Mathematical Sociology, Taylor & Francis Journals, vol. 48(3), pages 340-361, July.
    • Handle: RePEc:taf:gmasxx:v:48:y:2024:i:3:p:340-361
    DOI: 10.1080/0022250X.2024.2340134
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