1 juillet 2024
XLIM, University of Limoges, Faculty of Sciences and Techniques
Fuseau horaire Europe/Paris

Numerical methods to approximate deterministic mean field games

1 juil. 2024, 09:45
45m
XR 201, XLIM Building (XLIM, University of Limoges, Faculty of Sciences and Techniques)

XR 201, XLIM Building

XLIM, University of Limoges, Faculty of Sciences and Techniques

123 Avenue Albert Thomas, 87060 Limoges France

Orateur

Justina Gianatti (Universidad Nacional de Rosario)

Description

In this work we deal with the numerical approximation of deterministic Mean Field Games with control affine dynamics. We approximate such mean field games by analogous problems in discrete time and finite state space, for which, we show the existence and, under an additional monotonicity assumption, the uniqueness of solutions. We prove the convergence of equilibria of the discrete mean field game problems towards equilibria of the continuous one. Finally, we show some numerical results.

Auteur principal

Justina Gianatti (Universidad Nacional de Rosario)

Documents de présentation

Aucun document.