Regularity Theory for Mean-Field Game Systems
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, incl
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Diogo A. Gomes Edgard A. Pimentel Vardan Voskanyan
Regularity Theory for Mean-Field Game Systems
123
SpringerBriefs in Mathematics Series Editors Nicola Bellomo Michele Benzi Palle Jorgensen Roderick Melnik Otmar Scherzer Benjamin Steinberg Lothar Reichel Yuri Tschinkel G. George Yin Ping Zhang
SpringerBriefs in Mathematics showcases expositions in all areas of mathematics and applied mathematics. Manuscripts presenting new results or a single new result in a classical field, new field, or an emerging topic, applications, or bridges between new results and already published works, are encouraged. The series is intended for mathematicians and applied mathematicians. More information about this series at http://www.springer.com/series/10030
SBMAC SpringerBriefs
Editorial Board Luiz Mariano Carvalho Rio de Janeiro State University (UERJ) Department of Applied Mathematics Graduate Program in Mechanical Engineering Rio de Janeiro, Brazil Geraldo Nunes Silva Universidade Estadual Paulista (UNESP) Department of Applied Mathematics IBILCE - Instituto de Biociencias, Letras e Ciencias Exatas São Paulo, Brazil
The SBMAC SpringerBriefs series publishes relevant contributions in the fields of applied and computational mathematics, mathematics, scientific computing and related areas. Featuring compact volumes of 50 to 125 pages, the series covers a range of content from professional to academic. The Sociedade Brasileira de Matemática Aplicada e Computacional (Brazilian Society of Computational and Applied Mathematics, SBMAC) is a professional association focused on computational and industrial applied mathematics. The society is active in furthering the development of mathematics and its applications in scientific, technological and industrial fields. The Brazilian Society of Applied and Computational Mathematics has helped in developing the applications of mathematics in science, technology and industry, in encouraging the development and implementation of effective methods and mathematical techniques to be applied for the benefit of science and technology and in promoting the exchange of ideas and information between the areas of mathematical applications.
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Diogo A. Gomes • Edgard A. Pimentel Vardan Voskanyan
Regularity Theory for Mean-Field Game Systems
123
Diogo A. Gomes CEMSE Division King Abdullah University of Science and Technology Thuwal, Saudi Arabia
Edgard A. Pimentel Department of Mathematics Universidade Federal de Sao Carlos São Carlos, Brazil
Vardan Voskanyan CEMSE Division King Abdullah University of Science and Technology Thuwal, Saudi Arabia
ISSN 2191-8198 ISSN 2191-8201 (electronic) SpringerBriefs in Mathematics ISBN 978-3-319-38932-5 ISBN 978-3-319-38934-9 (eBook) DOI 10.1007/978-3-319-38934-9 Library of Congress Control Number: 2016943315 Mathematics Subject Classification (2010): 35J47, 35A01 © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is
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