Title
Mean Field Games: Numerical Methods
Abstract
Mean field type models describing the limiting behavior, as the number of players tends to $+\infty$, of stochastic differential game problems, have been recently introduced by J.-M. Lasry and P.-L. Lions [C. R. Math. Acad. Sci. Paris, 343 (2006), pp. 619-625; C. R. Math. Acad. Sci. Paris, 343 (2006), pp. 679-684; Jpn. J. Math., 2 (2007), pp. 229-260]. Numerical methods for the approximation of the stationary and evolutive versions of such models are proposed here. In particular, existence and uniqueness properties as well as bounds for the solutions of the discrete schemes are investigated. Numerical experiments are carried out.
Year
DOI
Venue
2010
10.1137/090758477
SIAM J. Numerical Analysis
Keywords
DocType
Volume
mean field games,mean field type model,numerical method,c. r,numerical experiment,j. math,stochastic differential game problem,evolutive version,discrete scheme,numerical methods,uniqueness property,mean field
Journal
48
Issue
ISSN
Citations 
3
0036-1429
55
PageRank 
References 
Authors
8.50
1
2
Name
Order
Citations
PageRank
Yves Achdou119732.74
Italo Capuzzo-Dolcetta29213.11