Regularity Theory for Mean-Field Game Systems (Paperback, 1st ed. 2016)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	SpringerBriefs in Mathematics
Release date:	September 2016
First published:	2016
Authors:	Diogo A. Gomes • Edgard A. Pimentel • Vardan Voskanyan
Dimensions:	235 x 155 x 9mm (L x W x T)
Format:	Paperback
Pages:	156
Edition:	1st ed. 2016
ISBN-13:	978-3-319-38932-5
Categories:	Books > Business & Economics > Economics > Economic theory & philosophy Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory Books > Science & Mathematics > Mathematics > Optimization > Game theory
LSN:	3-319-38932-7
Barcode:	9783319389325

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