Regularity Theory for Mean-Field Game Systems

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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Gomes, Diogo A. (Author), Pimentel, Edgard A. (Author), Voskanyan, Vardan (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:SpringerBriefs in Mathematics,
Subjects:
Game theory.
Econometrics.
System theory.
Control theory.
Game Theory.
Quantitative Economics.
Systems Theory, Control .
Online Access:Texto Completo
Table of Contents:
  • 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.

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