Well-posedness and propagation of chaos for multi-agent models with strategies and diffusive effects
Analysis of PDEs
2026-03-24 v2 Probability
Abstract
A multi-agent model for individuals endowed with strategies and subject to diffusive effects is proposed. The microscopic state of each agent is described by a spatial position and a probability measure, interpreted as a mixed strategy, over a compact metric space. The evolution is governed by a non-local interaction mechanism and by stochastic effects acting on the spatial component of the state. The well-posedness of the multi-agent system and that of a certain McKean--Vlasov stochastic differential equation are proved. Eventually, a propagation of chaos result is obtained, which guarantees that the former model converges to the latter as the number of agents goes to infinity.
Keywords
Cite
@article{arxiv.2507.14058,
title = {Well-posedness and propagation of chaos for multi-agent models with strategies and diffusive effects},
author = {Alessandro Baldi and Marco Morandotti},
journal= {arXiv preprint arXiv:2507.14058},
year = {2026}
}