PDE Models for Multi-Agent Phenomena

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 th...

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Bibliographic Details
Other Authors: Cardaliaguet, Pierre (Editor), Porretta, Alessio (Editor), Salvarani, Francesco (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2018, 2018
Edition:1st ed. 2018
Series:Springer INdAM Series
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 1 Martino Bardi and Marco Cirant, Uniqueness of solutions in Mean Field Games with several populations and Neumann conditions
  • 2 Simone Cacace and Fabio Camilli, Finite difference methods for Mean Field Games systems
  • 3 Piermarco Cannarsa and Rossana Capuani, Existence and uniqueness for Mean Field Games with state constraints
  • 4 Adriano Festa, Diogo A. Gomes and Roberto M. Velho, An adjoint-based approach for a class of nonlinear Fokker-Planck equations and related systems
  • 5 P. Jameson Graber and Charafeddine Mouzouni, Variational mean field games for market competition
  • 6 Maria Gualdani and Nicola Zamponi, A review for an isotropic Landau model
  • 7 Mikaela Iacobelli, A gradient flow perspective on the quantization problem
  • 8 Edgard A. Pimentel and Makson S. Santos, Asymptotic methods in regularity theory for nonlinear elliptic equations: a survey
  • 9 Elisabetta Carlini and Francisco J. Silva, A fully-discrete scheme for systems of nonlinear Fokker-Planck-Kolmogorov equations