10/18/2021 | News release | Distributed by Public on 10/18/2021 05:04
Categoria: Seminari e Convegni
Stato: Corrente
Aula Buzano - DISMA - Politecnico di Torino
Con Fabio Bagagiolo, Università degli Studi di Trento.
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Abstract:
An optimal visiting problem consists in touching some targets (regions of R^n) along the controlled trajectory, optimizing a suitable cost. The associated mean field game corresponds to the case where a huge population of agents perform the same optimal visiting problem and the costs also depend on the congestion. The population is then dynamically split into several populations labelled by the targets that have been already visited. There is therefore a transfer between the sub-populations and the continuity equation presents some sink-terms. The labels may also be interpreted as nodes of a direct network, giving a switching dynamics on it.