Convergence of some mean field games systems to aggregation and flocking models

DOI10.1016/j.na.2020.112199zbMath1460.35349arXiv2004.04403OpenAlexW3109644301MaRDI QIDQ2227842

Pierre Cardaliaguet, Martino Bardi

Publication date: 16 February 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.04403

zbMATH Keywords

kinetic equationsflockingcrowd motionmean field gamesagent based modelsswarmingaggregation equationweighted energy-dissipation

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Integro-partial differential equations (45K05) Integro-partial differential equations (35R09) Mean field games (aspects of game theory) (91A16) PDEs in connection with mean field game theory (35Q89)

Related Items (7)

A variational approach to first order kinetic mean field games with local couplings ⋮ Weak and Renormalized Solutions to a Hypoelliptic Mean Field Games System ⋮ Model-free mean-field reinforcement learning: mean-field MDP and mean-field Q-learning ⋮ A singular perturbation problem for mean field games of acceleration: application to mean field games of control ⋮ Learning High-Dimensional McKean–Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence ⋮ An introduction to mean field game theory ⋮ A Cucker--Smale Inspired Deterministic Mean Field Game with Velocity Interactions

Uses Software

• Matlab

Cites Work

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