Arbeitspapier
Mean field games with singular controls
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.
- Sprache
-
Englisch
- Erschienen in
-
Series: Discussion Paper ; No. 22
- Klassifikation
-
Wirtschaft
Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy: General (includes Measurement and Data)
Fiscal Policies and Behavior of Economic Agents: General
- Thema
-
mean field game
singular control
relaxed control
skorokhod m1 topology
- Ereignis
-
Geistige Schöpfung
- (wer)
-
Fu, Guanxing
Horst, Ulrich
- Ereignis
-
Veröffentlichung
- (wer)
-
Ludwig-Maximilians-Universität München und Humboldt-Universität zu Berlin, Collaborative Research Center Transregio 190 - Rationality and Competition
- (wo)
-
München und Berlin
- (wann)
-
2017
- Handle
- Letzte Aktualisierung
-
10.03.2025, 11:42 MEZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Objekttyp
- Arbeitspapier
Beteiligte
- Fu, Guanxing
- Horst, Ulrich
- Ludwig-Maximilians-Universität München und Humboldt-Universität zu Berlin, Collaborative Research Center Transregio 190 - Rationality and Competition
Entstanden
- 2017
Ähnliche Objekte (12)
Cooperation, Correlation and Competition in Ergodic $N$-Player Games and Mean-Field Games of Singular Controls: A Case Study
Stationary discounted and ergodic mean field games of singular control
Stationary Discounted and Ergodic Mean Field Games of Singular Control
Ergodic mean-field games of singular control with regime-switching
Ergodic Mean-Field Games of Singular Control with Regime-Switching (extended version)
Hypergraphon mean field games
On singular limits of mean-field equations
(In)efficiency in mean field games
Graphon mean field games and the GMFG equations
A Unifying Framework for Submodular Mean Field Games
Mean field games with major and minor players
A unifying framework for submodular mean field games
Cooperation, Correlation and Competition in Ergodic $N$-Player Games and Mean-Field Games of Singular Controls: A Case Study
Stationary discounted and ergodic mean field games of singular control
Stationary Discounted and Ergodic Mean Field Games of Singular Control
Ergodic mean-field games of singular control with regime-switching
Ergodic Mean-Field Games of Singular Control with Regime-Switching (extended version)
Hypergraphon mean field games
On singular limits of mean-field equations
(In)efficiency in mean field games
Graphon mean field games and the GMFG equations
A Unifying Framework for Submodular Mean Field Games
Mean field games with major and minor players
A unifying framework for submodular mean field games
Cooperation, Correlation and Competition in Ergodic $N$-Player Games and Mean-Field Games of Singular Controls: A Case Study
Stationary discounted and ergodic mean field games of singular control
Stationary Discounted and Ergodic Mean Field Games of Singular Control
Ergodic mean-field games of singular control with regime-switching
Ergodic Mean-Field Games of Singular Control with Regime-Switching (extended version)
Hypergraphon mean field games
On singular limits of mean-field equations
(In)efficiency in mean field games
Graphon mean field games and the GMFG equations
A Unifying Framework for Submodular Mean Field Games
Mean field games with major and minor players