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arXiv · 2507.14058

Well-posedness and propagation of chaos for multi-agent models with strategies and diffusive effects

Alessandro Baldi·Marco Morandotti
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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.

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Alessandro Baldi, Marco Morandotti. 2025-07-23. Well-posedness and propagation of chaos for multi-agent models with strategies and diffusive effects. https://doi.org/10.1016/j.jde.2026.114329

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