F. Bonnans (INRIA) - Schauder Estimates for a Class of Potential Mean Field Games of Controls

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F. Bonnans (INRIA) - Schauder Estimates for a Class of Potential Mean Field Games of Controls

5 avril @ 14 h 00 min

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.

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Date :
5 avril
Heure :
14 h 00 min