1 citations · 1 across the 2 of their papers we have counts for
3 papers
Scaling limits for Moran processes on metric strategy spaces: an Eulerian derivation of pure replicator and Fleming--Viot measure-valued PDEs
Stefano Almi, Riccardo Durastanti, Marco Morandotti +2
We study the large-population limit of a discrete-time Moran process featuring multiple strategies, drawn from a possibly infinite strategy space (a metric space), un…
Mean field first order optimality condition under low regularity of controls
Stefano Almi, Riccardo Durastanti, Francesco Solombrino
We show that mean field optimal controls satisfy a first order optimality condition (at a.e. time) without any a priori requirement on their spatial regularity. This principle is o…
A Pontryagin Maximum Principle for agent-based models with convex state space
Stefano Almi, Riccardo Durastanti, Francesco Solombrino
We derive a first order optimality condition for a class of agent-based systems, as well as for their mean-field counterpart. A relevant difficulty of our analysis is that the stat…