Extended mean-field games

DOI10.4171/RLM/907zbMath1460.35020OpenAlexW3095854306MaRDI QIDQ2658507

Pierre-Louis Lions, Panagiotis E. Souganidis

Publication date: 23 March 2021

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/907

zbMATH Keywords

backward quasilinear transport equationforward Hamilton-Jacobi equation

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Second-order parabolic systems (35K40) Hamilton-Jacobi equations (35F21) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61) Quasilinear parabolic equations (35K59) Mean field games (aspects of game theory) (91A16) Transport equations (35Q49)

Related Items (6)

Minimal solutions of master equations for extended mean field games ⋮ Regularity and Long Time Behavior of One-Dimensional First-Order Mean Field Games and the Planning Problem ⋮ Monotone solutions for mean field games master equations: continuous state space and common noise ⋮ Classical and weak solutions to local first-order mean field games through elliptic regularity ⋮ Homogenization of the backward-forward mean-field games systems in periodic environments ⋮ Classical solutions to local first-order extended mean field games

Cites Work

• Second order mean field games with degenerate diffusion and local coupling
• Mean field games
• Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
• Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations

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