期刊
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
卷 51, 期 5, 页码 3558-3591出版社
SIAM PUBLICATIONS
DOI: 10.1137/120904184
关键词
mean field games; long time behavior; parabolic equations
资金
- Agence Nationale de la Recherche [ANR-10-BLAN 0112, ANR HJnet ANR12- BS01-0008-01]
- EU [FP7-PEOPLE-2010-ITN,]
We study the long time average, as the time horizon tends to infinity, of the solution of a mean field game system with a nonlocal coupling. We show an exponential convergence to the solution of the associated stationary ergodic mean field game. Proofs rely on semiconcavity estimates and smoothing properties of the linearized system.
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