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Regularity theory for mean-field game systems [electronic resource]

Regularity theory for mean-field game systems [electronic resource]

자료유형
E-Book(소장)
개인저자
Gomes, Diogo A. Pimentel, Edgard A. Voskanyan, Vardan.
서명 / 저자사항
Regularity theory for mean-field game systems [electronic resource] / Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan.
발행사항
Cham :   Springer International Publishing :   Imprint: Springer,   c2016.  
형태사항
1 online resource (xiv, 156 p.) : col. ill.
총서사항
SpringerBriefs in mathematics,2191-8198
ISBN
9783319389349
요약
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.
일반주기
Title from e-Book title page.  
내용주기
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.
서지주기
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
일반주제명
Mathematics. Game theory. Mean field theory.
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008 200522s2016 sz a ob 001 0 eng d
020 ▼a 9783319389349
040 ▼a 211009 ▼c 211009 ▼d 211009
050 4 ▼a HB144
082 0 4 ▼a 519.3 ▼2 23
084 ▼a 519.3 ▼2 DDCK
090 ▼a 519.3
100 1 ▼a Gomes, Diogo A.
245 1 0 ▼a Regularity theory for mean-field game systems ▼h [electronic resource] / ▼c Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan.
260 ▼a Cham : ▼b Springer International Publishing : ▼b Imprint: Springer, ▼c c2016.
300 ▼a 1 online resource (xiv, 156 p.) : ▼b col. ill.
490 1 ▼a SpringerBriefs in mathematics, ▼x 2191-8198
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references and index.
505 0 ▼a 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.
520 ▼a 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.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Mathematics.
650 0 ▼a Game theory.
650 0 ▼a Mean field theory.
700 1 ▼a Pimentel, Edgard A.
700 1 ▼a Voskanyan, Vardan.
830 0 ▼a SpringerBriefs in mathematics.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-3-319-38934-9
945 ▼a KLPA
991 ▼a E-Book(소장)

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