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Bibliographic Details
Main Authors: Paul, Thierry, Rossi, Stefano, Trélat, Emmanuel
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2502.09098
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author Paul, Thierry
Rossi, Stefano
Trélat, Emmanuel
author_facet Paul, Thierry
Rossi, Stefano
Trélat, Emmanuel
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_09098
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Multi-agent systems with multiple-wise interaction: Propagation of chaos and macroscopic limit
Paul, Thierry
Rossi, Stefano
Trélat, Emmanuel
Analysis of PDEs
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.
title Multi-agent systems with multiple-wise interaction: Propagation of chaos and macroscopic limit
topic Analysis of PDEs
url https://arxiv.org/abs/2502.09098