Title
Mean Field Games: Convergence of a Finite Difference Method.
Abstract
Mean field type models describing the limiting behavior of stochastic differential games as the number of players tends to +infinity have been recently introduced by Lasry and Lions. Numerical methods for the approximation of the stationary and evolutive versions of such models have been proposed by the authors in previous works. Here, convergence theorems for these methods are proved under various assumptions on the coupling operator.
Year
DOI
Venue
2013
10.1137/120882421
SIAM JOURNAL ON NUMERICAL ANALYSIS
Keywords
Field
DocType
mean field games,finite difference schemes,convergence
Convergence (routing),Mathematical optimization,Coupling,Mathematical analysis,Mean field theory,Operator (computer programming),Finite difference method,Numerical analysis,Limiting,Mathematics
Journal
Volume
Issue
ISSN
51
5
0036-1429
Citations 
PageRank 
References 
6
0.61
5
Authors
3
Name
Order
Citations
PageRank
Yves Achdou119732.74
Fabio Camilli213920.32
Italo Capuzzo Dolcetta381.38