Weakly coupled mean-field game systems. (October 2016)

• Record Type: Journal Article
• Authors: Gomes, Diogo A.; Patrizi, Stefania
• Is Part Of: Nonlinear analysis. Volume 144(2016)
• Page Start: 110
• Page End: 138
• Publication Date: 2016-10
• Subjects: 35J47 -- 35A01; Mean field games -- Weakly coupled systems -- Optimal switching; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2016.05.017
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: Here, we prove the existence of solutions to first-order mean-field games (MFGs) arising in optimal switching. First, we use the penalization method to construct approximate solutions. Then, we prove uniform estimates for the penalized problem. Finally, by a limiting procedure, we obtain solutions to the MFG problem.