Regularity theory for mean field games systems

Resource Information

The work Regularity theory for mean field games systems represents a distinct intellectual or artistic creation found in University of Liverpool. This resource is a combination of several types including: Work, Language Material, Books.

Label

Regularity theory for mean field games systems

Statement of responsibility

Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan

Creator

• Gomes, Diogo A

Contributor

• Pimentel, Edgard A.
• Voskanyan, Vardan

Author

• Voskanyan, Vardan
• Pimentel, Edgard A.
• Gomes, Diogo A

Subject

• Game theory
• Mean field theory

Language

eng

Summary

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, subquadratic and superquadratic MFG formulations, and distinct classes of mean-field couplings. It also explores stationary and time-dependent MFGs through a series of a-priori estimates for solutions of the Hamilton-Jacobi and Fokker-Planck equation. It shows sophisticated a-priori systems derived using a range of analytical techniques, and builds on previous results to explain classical solutions. The final chapter discusses the potential applications, models and natural extensions of MFGs. As MFGs connect common problems in pure mathematics, engineering, economics and data management, this book is a valuable resource for researchers and graduate students in these fields

Member of

• Online access with purchase: Springer
• SpringerBriefs in mathematics

Cataloging source

YDX

Dewey number

530.14/4

Index

index present

LC call number

QC174.85.M43

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography

Series statement

SpringerBriefs in mathematics