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Springer INdAM Series

PDE Models for Multi-Agent Phenomena

Editors: Cardaliaguet, Pierre, Porretta, Alessio, Salvarani, Francesco (Eds.)

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  • Presents very complete and up-to-date review articles
  • Includes detailed information on the state-of-the-art in the field
  • Discusses a variety of mathematical tools
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eBook 74,89 €
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  • ISBN 978-3-030-01947-1
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  • Included format: EPUB, PDF
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  • Immediate eBook download after purchase
Hardcover 93,59 €
price for Spain (gross)
  • ISBN 978-3-030-01946-4
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  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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About this book

This volume covers selected topics addressed and discussed during the workshop “PDE models for multi-agent phenomena,” which was held in Rome, Italy, from November 28th to December 2nd, 2016. The content mainly focuses on kinetic equations and mean field games, which provide a solid framework for the description of multi-agent phenomena. The book includes original contributions on the theoretical and numerical study of the MFG system: the uniqueness issue and finite difference methods for the MFG system, MFG with state constraints, and application of MFG to market competition. The book also presents new contributions on the analysis and numerical approximation of the Fokker-Planck-Kolmogorov equations, the isotropic Landau model, the dynamical approach to the quantization problem and the asymptotic methods for fully nonlinear elliptic equations. Chiefly intended for researchers interested in the mathematical modeling of collective phenomena, the book provides an essential overview of recent advances in the field and outlines future research directions.

About the authors

Pierre Cardaliaguet completed his PhD at the U. Paris Dauphine in 1994. He has been a Professor at Brest U. from 2000 to 2010 and is currently Professor at the U. Paris Dauphine.

Alessio Porretta received his PhD from the University of Rome La Sapienza in 2000, and is currently a full Professor of Mathematical Analysis at the University of Rome Tor Vergata. His research activities are mainly focused on convection-diffusion and Hamilton-Jacobi equations, control theory and mean field games.

Francesco Salvarani (PhD in Mathematics, University of Genoa, Italy, and Ecole Normale Supérieure de Cachan, France) is an expert in the mathematical and numerical study of collective phenomena arising both in physics and the social sciences. His scientific activities are mainly focused on kinetic equations and systems.


Table of contents (9 chapters)

Table of contents (9 chapters)
  • Uniqueness of Solutions in Mean Field Games with Several Populations and Neumann Conditions

    Pages 1-20

    Bardi, Martino (et al.)

  • Finite Difference Methods for Mean Field Games Systems

    Pages 21-47

    Cacace, Simone (et al.)

  • Existence and Uniqueness for Mean Field Games with State Constraints

    Pages 49-71

    Cannarsa, Piermarco (et al.)

  • An Adjoint-Based Approach for a Class of Nonlinear Fokker-Planck Equations and Related Systems

    Pages 73-92

    Festa, Adriano (et al.)

  • Variational Mean Field Games for Market Competition

    Pages 93-114

    Graber, Philip Jameson (et al.)

Buy this book

eBook 74,89 €
price for Spain (gross)
  • ISBN 978-3-030-01947-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 93,59 €
price for Spain (gross)
  • ISBN 978-3-030-01946-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
PDE Models for Multi-Agent Phenomena
Editors
  • Pierre Cardaliaguet
  • Alessio Porretta
  • Francesco Salvarani
Series Title
Springer INdAM Series
Series Volume
28
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-01947-1
DOI
10.1007/978-3-030-01947-1
Hardcover ISBN
978-3-030-01946-4
Series ISSN
2281-518X
Edition Number
1
Number of Pages
XI, 218
Number of Illustrations
3 b/w illustrations, 21 illustrations in colour
Topics