Regularity Theory for Mean-Field Game Systems

• Κύριοι συγγραφείς: Gomes, Diogo A. (Συγγραφέας), Pimentel, Edgard A. (Συγγραφέας), Voskanyan, Vardan (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Σειρά: SpringerBriefs in Mathematics,
• Θέματα: Mathematics.; Game theory.; System theory.; Economic theory.; Game Theory, Economics, Social and Behav. Sciences.; Economic Theory/Quantitative Economics/Mathematical Methods.; Systems Theory, Control.

Beginning with a concise introduction to the theory of mean-field games (MFGs), this book presents the key elements of the regularity theory for MFGs. It then introduces a series of techniques for well-posedness in the context of mean-field problems, including stationary and time-dependent MFGs, sub...

Πίνακας περιεχομένων:

• Preface
• Introduction
• Explicit solutions, special transformations, and further examples
• Estimates for the Hamilton-Jacobi equation
• Estimates for the Transport and Fokker-Planck equations
• The nonlinear adjoint method
• Estimates for MFGs
• A priori bounds for stationary models
• A priori bounds for time-dependent models
• A priori bounds for models with singularities
• Non-local mean-field games - existence
• Local mean-field games - existence
• References
• Index.