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arXiv · 2502.09098

Multi-agent systems with multiple-wise interaction: Propagation of chaos and macroscopic limit

Thierry Paul·Stefano Rossi·Emmanuel Trélat
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Abstract

We consider interacting multi-agent systems where the interaction is not only pairwise but involves simultaneous interactions among multiple agents (multiple-wise interaction). By passing through the mesoscopic and macroscopic limits with a fixed multiple-wise interaction of order $m$, we derive a macroscopic equation in the limit $m \rightarrow \infty$, capturing the dominant effects in large-size multiple-wise order.

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Thierry Paul, Stefano Rossi, Emmanuel Trélat. 2025-02-13. Multi-agent systems with multiple-wise interaction: Propagation of chaos and macroscopic limit. https://arxiv.org/abs/2502.09098

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