Schauder Estimates for a Class of Potential Mean Field Games of Controls
Résumé
An existence result for a class of mean field games of controls is provided. In the considered model, the cost functional to be minimized by each agent involves a price depending at a given time on the controls of all agents and a congestion term. The existence of a classical solution is demonstrated with the Leray-Schauder theorem; the proof relies in particular on a priori bounds for the solution, which are obtained with the help of a potential formulation of the problem.
| Origine | Fichiers produits par l'(les) auteur(s) |
|---|
Loading...