Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/162518
Authors: 
Fu, Guanxing
Horst, Ulrich
Year of Publication: 
2017
Series/Report no.: 
Discussion Paper 22
Abstract: 
This paper establishes the existence of relaxed solutions to mean eld games (MFGs for short) with singular controls. As a by-product, we obtain an existence of relaxed solutions results for McKean-Vlasov stochastic singular control problems. Finally, we prove approximations of solutions results for a particular class of MFGs with singular controls by solutions, respectively control rules, for MFGs with purely regular controls. Our existence and approximation results strongly hinge on the use of the Skorokhod M1 topology on the space of cadlag functions.
Subjects: 
mean field game
singular control
relaxed control
skorokhod m1 topology
JEL: 
E20
B70
H30
Document Type: 
Working Paper

Files in This Item:
File
Size
451.07 kB





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.