大葉大學圖書館 |

Regularity theory for mean field games systems[electronic resource] /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	530.144
書名/作者:	Regularity theory for mean field games systems/ by Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan.
作者:	Gomes, Diogo A.
其他作者:	Pimentel, Edgard A.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	xiv, 156 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Mean field theory.
標題:	Game theory.
標題:	Mathematics.
標題:	Game Theory, Economics, Social and Behav. Sciences.
標題:	Economic Theory/Quantitative Economics/Mathematical Methods.
標題:	Systems Theory, Control.
ISBN:	9783319389349
ISBN:	9783319389325
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-38934-9

Regularity theory for mean field games systems[electronic resource] /
Gomes, Diogo A.

Regularity theory for mean field games systems[electronic resource] /by Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan. - Cham :Springer International Publishing :2016. - xiv, 156 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

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.

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.

ISBN: 9783319389349

Standard No.: 10.1007/978-3-319-38934-9doiSubjects--Topical Terms:

671291
Mean field theory.

LC Class. No.: QC174.85.M43

Dewey Class. No.: 530.144

Regularity theory for mean field games systems[electronic resource] /
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