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

MARCHI, CLAUDIO
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3192351
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