PDE Models for Multi-Agent Phenomena

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.

• 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.