Work

Schauder Estimates for a Class of Potential Mean Field Games of Controls

Year: 2019

Type: article

Abstract: 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.

Source: Applied Mathematics & Optimization

DOI: 10.1007/s00245-019-09592-z

Authors: J. Frédéric Bonnans, Saeed Hadikhanloo, Laurent Pfeiffer

Institutions: Institut national de recherche en sciences et technologies du numérique, École Polytechnique, University of Graz

Language: English

Topic: Stochastic processes and financial applications

Subfield: Finance

Field: Economics, Econometrics and Finance

Domain: Social Sciences

Open Access status: hybrid

Estimated APC paid: $2,690

Funder: Karl-Franzens-Universität Graz