Regularity Theory for Mean-Field Game Systems
Author:   Diogo A. Gomes ,  Edgard A. Pimentel ,  Vardan Voskanyan
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2016
ISBN:  

9783319389325


Pages:   156
Publication Date:   22 September 2016
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Regularity Theory for Mean-Field Game Systems


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Author:   Diogo A. Gomes ,  Edgard A. Pimentel ,  Vardan Voskanyan
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2016
Dimensions:   Width: 15.50cm , Height: 0.90cm , Length: 23.50cm
Weight:   2.701kg
ISBN:  

9783319389325


ISBN 10:   3319389327
Pages:   156
Publication Date:   22 September 2016
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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.

Reviews

This book is concerned with mean field game systems, or MFG systems for short. Such systems describe an infinite number of rational agents in competition. ... The book is an accesible introduction to MFG systems, readable by anyone with a basic knowledge of partial differential equations. (Teemu Lukkari, Mathematical Reviews, October, 2017)


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