An introduction to mean field game theory
From MaRDI portal
Publication:2223588
DOI10.1007/978-3-030-59837-2_1zbMath1457.91058OpenAlexW3125484093MaRDI QIDQ2223588
Pierre Cardaliaguet, Alessio Porretta
Publication date: 29 January 2021
Full work available at URL: https://doi.org/10.1007/978-3-030-59837-2_1
PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Mean field games and control (49N80) Mean field games (aspects of game theory) (91A16)
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Turnpike in optimal control of PDEs, ResNets, and beyond ⋮ \(N\)-player games and mean field games of moderate interactions ⋮ Differential games for crowd dynamics and applications ⋮ Generic properties of first-order mean field games ⋮ On the control of density-dependent stochastic population processes with time-varying behavior ⋮ Minimal solutions of master equations for extended mean field games ⋮ Decay rates of convergence for Fokker-Planck equations with confining drift ⋮ Regularity and Long Time Behavior of One-Dimensional First-Order Mean Field Games and the Planning Problem ⋮ Inverse problems for mean field games ⋮ On monotonicity conditions for mean field games ⋮ A Lagrange–Galerkin Scheme for First Order Mean Field Game Systems ⋮ Classical and weak solutions to local first-order mean field games through elliptic regularity ⋮ Traveling waves for a nonlocal KPP equation and mean-field game models of knowledge diffusion ⋮ Long time behavior and turnpike solutions in mildly non-monotone mean field games ⋮ Mean field games of controls: propagation of monotonicities ⋮ Regularizing effects of the entropy functional in optimal transport and planning problems
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