We consider a stationary mean field games system constrained on a network. According to the optimal control interpretation of the problem, some transition conditions on the vertices are imposed. We prove separately the well-posedness for each of the two equations composing the system. Finally, we prove existence and uniqueness of the solution of the mean field games system.
Stationary mean field games systems defined on networks / Camilli, Fabio; Marchi, Claudio. - In: SIAM JOURNAL ON CONTROL AND OPTIMIZATION. - ISSN 0363-0129. - STAMPA. - 54:2(2016), pp. 1085-1103. [10.1137/15M1022082]
Stationary mean field games systems defined on networks
CAMILLI, FABIO;
2016
Abstract
We consider a stationary mean field games system constrained on a network. According to the optimal control interpretation of the problem, some transition conditions on the vertices are imposed. We prove separately the well-posedness for each of the two equations composing the system. Finally, we prove existence and uniqueness of the solution of the mean field games system.File allegati a questo prodotto
File | Dimensione | Formato | |
---|---|---|---|
Sicon4.pdf
solo utenti autorizzati
Note: SICON4.pdf
Tipologia:
Documento in Post-print (versione successiva alla peer review e accettata per la pubblicazione)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
231.03 kB
Formato
Adobe PDF
|
231.03 kB | Adobe PDF | Contatta l'autore |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.