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
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