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Mean field games for modeling crowd motion

Achdou, Yves; Lasry, Jean-Michel (2019), Mean field games for modeling crowd motion, in B. N. Chetverushkin, W. Fitzgibbon, Y.A. Kuznetsov, P. Neittaanmäki, J. Periaux, O. Pironneau, Contributions to Partial Differential Equations and Applications, Springer : Berlin Heidelberg, p. 17-42. 10.1007/978-3-319-78325-3_4

Type
Chapitre d'ouvrage
Date
2019
Book title
Contributions to Partial Differential Equations and Applications
Book author
B. N. Chetverushkin, W. Fitzgibbon, Y.A. Kuznetsov, P. Neittaanmäki, J. Periaux, O. Pironneau
Publisher
Springer
Published in
Berlin Heidelberg
ISBN
978-3-319-78324-6
Number of pages
452
Pages
17-42
Publication identifier
Metadata
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Author(s)
Achdou, Yves
Laboratoire Jacques-Louis Lions [LJLL (UMR_7598)]
Lasry, Jean-Michel
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
We present a model for crowd motion based on the recent theory of mean field games. The model takes congestion effects into account. A robust and efficient numerical method is discussed. Numerical simulations are presented for two examples. The second example, in which all the agents share a common source of risk and have incomplete information, is of particular interest, because it cannot be dealt with without modeling rational anticipation.
Subjects / Keywords
Mean Field Games; Crowd Movement; Discrete Bellman Equation; Discrete Transport Operator; Mean Field Game Model