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Regularity Theory for Mean-Field Game Systems
Gomes, Diogo A.; Pimentel, Edgard A.
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Description for Regularity Theory for Mean-Field Game Systems
Paperback. Series: SpringerBriefs in Mathematics. Num Pages: 170 pages, 4 colour illustrations, biography. BIC Classification: GPFC; KCA; PBUD. Category: (G) General (US: Trade). Dimension: 235 x 155 x 9. Weight in Grams: 273.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2016
Publisher
Springer International Publishing AG Switzerland
Number of pages
170
Condition
New
Series
SpringerBriefs in Mathematics
Number of Pages
156
Place of Publication
Cham, Switzerland
ISBN
9783319389325
SKU
V9783319389325
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Regularity Theory for Mean-Field Game Systems
“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)