Abstract
We study a variant of the dispersion process on the complete graph introduced in the recent work by Ambroggio, Makai, and Panagiotou [Dispersion on the Complete Graph, https://arxiv.org/abs/2306.02474, 2023] under the mean-field framework. We adopt a kinetic per-spective (as opposed to the probabilistic approach taken in that work and many other related works) thanks to the reinterpretation of the model in terms of a novel econophysics model. Various an-alytical and quantitative results regarding the large time behavior of the mean-field dynamics are obtained and supporting numerical illustrations are provided.
| Original language | English |
|---|---|
| Pages (from-to) | 3953-3980 |
| Number of pages | 28 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 57 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2025 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2025, Society for Industrial and Applied Mathematics Publications. All rights reserved.
Keywords
- agent-based model
- dispersion of particles
- econophysics
- Fokker-Planck equations
- interacting particle systems
ASJC Scopus subject areas
- Analysis
- Computational Mathematics
- Applied Mathematics
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