Regularity Theory for Mean-Field Game Systems

Nonfiction, Science & Nature, Mathematics, Game Theory, Business & Finance, Economics, Theory of Economics
Cover of the book Regularity Theory for Mean-Field Game Systems by Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan ISBN: 9783319389349
Publisher: Springer International Publishing Publication: September 14, 2016
Imprint: Springer Language: English
Author: Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan
ISBN: 9783319389349
Publisher: Springer International Publishing
Publication: September 14, 2016
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Biologic and Systemic Agents in Dermatology by Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan
Cover of the book Civil Society, Rhetoric of Resistance, and Transatlantic Trade by Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan
Cover of the book Educational Robotics in the Makers Era by Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan
Cover of the book Bernard de Mandeville's Tropology of Paradoxes by Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan
Cover of the book High-Performance Computing for Structural Mechanics and Earthquake/Tsunami Engineering by Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan
Cover of the book Biobanking in the 21st Century by Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan
Cover of the book Stem Cells in the Lung by Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan
Cover of the book Representing the Eighteenth Century in Film and Television, 2000–2015 by Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan
Cover of the book Numerical Methods and Analysis of Multiscale Problems by Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan
Cover of the book Scalar Wave Driven Energy Applications by Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan
Cover of the book Current and Emerging Therapies in Pancreatic Cancer by Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan
Cover of the book Psychoanalyzing the Left and Right after Donald Trump by Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan
Cover of the book Research Advances in the Mathematical Education of Pre-service Elementary Teachers by Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan
Cover of the book Essentials of Interventional Techniques in Managing Chronic Pain by Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan
Cover of the book Dual-Mode Electro-photonic Silicon Biosensors by Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy