Master Equation and the Convergence Problem in Mean Field Games - (Ams-201)

This book describes the latest advances in the theory of mean field games, which are optimal control problems with a continuum of players, each of them interacting with the whole statistical distribution of a population.

About the author

Pierre Cardaliaguet is professor of mathematics at Paris Dauphine University. François Delarue is professor of mathematics at the University of Nice Sophia Antipolis. Jean-Michel Lasry is associate researcher of mathematics at Paris Dauphine University. Pierre-Louis Lions is professor of partial differential equations and their applications at the Collège de France.

Summary

This book describes the latest advances in the theory of mean field games, which are optimal control problems with a continuum of players, each of them interacting with the whole statistical distribution of a population.

Foreword

This monograph presents two original results in mean-field game theory, contributing to the development of a unified, rigorous theoretical framework for this fast-developing field.

Additional text

"This book . . . . is a major contribution to the state of the art in MFGs which is a must read for researchers in the field. . . . . The authors use the book format (and not a more compact paper format) to explain all their steps carefully. Because of its structured approach, it could be used as a textbook for an advanced course on the subject."---Adhemar Bultheel, European Mathematical Society

Product details

• Authors: Pierre Cardaliaguet, Pierre Delarue Cardaliaguet, Pierre/ Delarue Cardaliaguet, Cardaliaguet Pierre, Francois Delarue, François Delarue, Jean-Michel Lasry, Lasry Jean-Michel, Pierre-Louis Lions, Lions Pierre-Louis
• Publisher: Princeton University Press
• Languages: English
• Product format: Paperback / Softback
• Released: 31.08.2019
• EAN: 9780691190716
• ISBN: 978-0-691-19071-6
• No. of pages: 224
• Series: Annals of Mathematics Studies; Annals of Mathematics Studies
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Differential Equations / General, MATHEMATICS / Game Theory, game theory, Differential calculus & equations, Differential calculus and equations