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math.AP2025
Well-posedness and propagation of chaos for multi-agent models with strategies and diffusive effects
Alessandro Baldi, Marco Morandotti
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…
math.AP2025
Replicator dynamics as the large population limit of a discrete Moran process in the weak selection regime: A proof via Eulerian specification
Marco Morandotti, Gianluca Orlando
We study the large population limit of a multi-strategy discrete-time Moran process in the weak selection regime. We show that the replicator dynamics is interpreted as the large-p…
math.AP2024
Controllability and kinetic limit of spherical particles immersed in a viscous fluid
Marta Zoppello, Henry Shum, Marco Morandotti
This paper deals with systems of spherical particles immersed in a viscous fluid. Two aspects are studied, namely the controllability of such systems, with particular attention to…