Mean Field Games: Numerical Methods

No abstract is available for this paper.

• Publication year

  2010

• Venue

  SIAM Journal on Numerical Analysis

• Publication date

  2010-07-01

• Fields of study

  Mathematics, Computer Science

• Identifiers
  DOI 10.1137/090758477
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Mean Field Games: Numerical Methods for the Planning Problem

  2012cited by this paper
• Rates of convergence in periodic homogenization of fully nonlinear uniformly elliptic PDEs

  2009cited by this paper
• Discrete mean field games

  2009cited by this paper
• A reference case for mean field games models

  2009cited by this paper
• HOMOGENIZATION OF HAMILTON–JACOBI EQUATIONS: NUMERICAL METHODS

  2008cited by this paper
• Mean field games

  2007cited by this paper
• A priori estimates of smoothness of solutions to difference Bellman equations with linear and quasi-linear operators

  2006influential reference
• Jeux à champ moyen. II – Horizon fini et contrôle optimal

  2006cited by this paper
• Jeux à champ moyen. I – Le cas stationnaire

  2006cited by this paper
• Discrete methods for fully nonlinear elliptic equations

  1992influential reference
• Linear elliptic difference inequalities with random coefficients

  1990influential reference
• A Monotonic Algorithm for a Mean Field Games Model in Economics -draft - a Monotonic Algorithm for a Mean Field Games Model in Economics

  year unknowncited by this paper

• Learning Contact Policies for SEIR Epidemics on Networks: A Mean-Field Game Approach

  2026cites this paper
• On the Generalized Conditional Gradient Method for Mean Field Games with Local Coupling Terms

  2026cites this paper
• On the convergence rates of generalized conditional gradient method for fully discretized Mean Field Games

  2026cites this paper
• An Online Interactive Physics-Informed Diffusion-Adversarial Network for Solving Mean Field Games

  2026cites this paper
• Learning-Based Resilience Optimization of Human-on-the-Loop Multiple-Unmanned-Aerial-System Positioning Using Mean Field Games

  2026cites this paper
• High order Tensor-Train-Based Schemes for High-Dimensional Mean Field Games

  2025cites this paper
• Parallel-in-Time Preconditioning for Time-Dependent Variational Mean Field Games

  2025cites this paper
• Regulation of Charging Protocols for Heterogeneous Electric Vehicles Using Mean Field Game Theory

  2025cites this paper
• Fisheries Management With Many Small Firms: A Mean Field Games Approach

  2025cites this paper
• Unsupervised solution operator learning for mean-field games

  2025cites this paper
• Mean-Field Game for Gene Expression of Beetles

  2025cites this paper
• PDPO: Parametric Density Path Optimization

  2025cites this paper
• SIMPOL Model for Solving Continuous-Time Heterogeneous Agent Problems

  2025cites this paper
• Joint Inference of Trajectory and Obstacle in Mean-Field Games via Bilevel Optimization

  2025cites this paper
• Neural Mean-Field Games: Extending Mean-Field Game Theory with Neural Stochastic Differential Equations

  2025cites this paper
• Mean-Field Modeling of Green Technology Adoption: A Competition for Incentives

  2025cites this paper
• Strategy optimization of controlled evolutionary games on a two-layer coupled network using Lebesgue sampling

  2025cites this paper
• Experimental and modeling study on earthen sediment-based bricks with and without flax fibers: a finite element analysis

  2025cites this paper
• Some error estimates for semidiscrete finite element approximations of stable solutions to mean field game systems

  2025cites this paper
• Newton Methods for Mean Field Games: A Numerical Study

  2025influential citation
• An overview of some extensions of mean field games beyond perfect homogeneity and anonymity

  2025cites this paper
• Optimal Charging Control for Electric Vehicle Fleet Using Mean Field Game Theory

  2025cites this paper
• Recent progress in Carleman estimates for mean field games

  2025cites this paper
• Mean field games for urban mobility: a review

  2025cites this paper
• Finite-Sample Convergence Bounds for Trust Region Policy Optimization in Mean-Field Games

  2025cites this paper
• A time-fractional optimal transport: Formulation and algorithm

  2025cites this paper
• A Graphon Mean Field Convex Duality Approach to Shaping the Terminal Probability Distribution of a Network of Nonlinear Multi-Agent Systems

  2025cites this paper
• Rates of convergence of finite element approximations of second-order mean field games with nondifferentiable Hamiltonians

  2025cites this paper
• A Mean Field Game Algorithm for Unmanned System Crowd Evacuation

  2025cites this paper
• Stability of networked evolutionary games with asynchronous strategy updating rules and different memory lengths

  2025cites this paper
• Mean Field Games for Controlling Coherent Structures in Nonlinear Fluid Systems

  2025cites this paper
• A semi-Lagrangian scheme for First-Order Mean Field Games based on monotone operators

  2025cites this paper
• Initialization-driven neural generation and training for high-dimensional optimal control and first-order mean field games

  2025cites this paper
• Learning Surrogate Potential Mean Field Games via Gaussian Processes: A Data-Driven Approach to Ill-Posed Inverse Problems

  2025cites this paper
• Finite difference schemes for Hamilton-Jacobi equation on Wasserstein space on graphs

  2025cites this paper
• Gaussian Process Policy Iteration with Additive Schwarz Acceleration for Forward and Inverse HJB and Mean Field Game Problems

  2025cites this paper
• Construction of an Optimal Strategy: An Analytic Insight Through Path Integral Control Driven by a McKean–Vlasov Opinion Dynamics

  2025cites this paper
• Generalized Pair-Wise Logit Dynamic and Its Connection to a Mean Field Game: Theoretical and Computational Investigations Focusing on Resource Management

  2024cites this paper
• Artificial intelligence for COVID-19 spread modeling

  2024cites this paper
• Monotone inclusion methods for a class of second-order non-potential mean-field games

  2024influential citation
• A Lagrange-Galerkin Scheme for First Order Mean Field Game Systems

  2024cites this paper
• Unsupervised Solution Operator Learning for Mean-Field Games via Sampling-Invariant Parametrizations

  2024cites this paper
• Near and full quasi-optimality of finite element approximations of stationary second-order mean field games

  2024cites this paper
• A high-order scheme for mean field games

  2024cites this paper
• Critical Mass Phenomena and Blow-up Behaviors of Ground States in Stationary Second Order Mean-Field Games Systems with Decreasing Cost

  2024cites this paper
• A Mean Field Jacobi Process for Modeling Sustainable Tourism

  2024cites this paper
• Deep learning solution to mean field game of optimal liquidation

  2024cites this paper
• Convergence Analysis and Acceleration of Fictitious Play for General Mean-Field Games via the Best Response

  2024cites this paper
• Finding the nonnegative minimal solutions of Cauchy PDEs in a volatility-stabilized market

  2024cites this paper
• A mean field game model of green economy

  2024influential citation
• Mean field LQG social optimization: A reinforcement learning approach

  2024cites this paper
• Coupled Alternating Neural Networks for Solving Multi-Population High-Dimensional Mean-Field Games

  2024cites this paper
• Scalable Offline Reinforcement Learning for Mean Field Games

  2024cites this paper
• Price Coordination for Electric Vehicle Fleet Using Mean Field Game Theory

  2024cites this paper
• A Policy Iteration Method for Inverse Mean Field Games

  2024cites this paper
• An online interactive physics-informed adversarial network for solving mean field games

  2024cites this paper
• A note on existence and asymptotic behavior of Lagrangian equilibria for first-order optimal-exit mean field games

  2024cites this paper
• Recent developments in machine learning methods for stochastic control and games

  2024cites this paper
• Pasting of Equilibria and Donsker-type Results for Mean Field Games

  2024cites this paper
• Learning Equilibria in Cournot Mean Field Games of Controls

  2024cites this paper
• Multi-armed bandit approach for mean field game-based resource allocation in NOMA networks

  2024cites this paper
• A Fully-Discrete Semi-Lagrangian Scheme for a Price Formation MFG Model

  2024cites this paper
• Last-iterate Convergence in Regularized Graphon Mean Field Game

  2024cites this paper
• A mean field game model of staking system

  2024cites this paper
• Mean Field Games for Controlling Coherent Structures in Nonlinear Fluid Systems

  2024cites this paper
• Coupled Multiwavelet Neural Operator Learning for Coupled Partial Differential Equations

  2023cites this paper
• The Convergence Rate of Vanishing Viscosity Approximations for Mean Field Games

  2023cites this paper
• A Lagrange-Galerkin scheme for first order mean field games systems

  2023cites this paper
• A Machine Learning Method for Stackelberg Mean Field Games

  2023cites this paper
• High order computation of optimal transport, mean field planning, and mean field games

  2023cites this paper
• Multi-Armed Bandit Framework for Resource Allocation in Uplink NOMA Networks

  2023cites this paper
• On the Quadratic Convergence of Newton’s Method for Mean Field Games with Non-separable Hamiltonian

  2023cites this paper
• A hybrid deep learning method for finite-horizon mean-field game problems

  2023cites this paper
• Robustness and Approximation of Discrete-time Mean-field Games under Discounted Cost Criterion

  2023cites this paper
• Fictitious Play via Finite Differences for Mean Field Games with Optimal Stopping

  2023cites this paper
• A mesh-independent method for second-order potential mean field games

  2023cites this paper
• Deep Policy Iteration for high-dimensional mean field games

  2023cites this paper
• Deep Learning for Mean Field Games with non-separable Hamiltonians

  2023cites this paper
• Decoding Mean Field Games from Population and Environment Observations By Gaussian Processes

  2023influential citation
• Non-separable mean field games for pedestrian flow: Generalized hughes model

  2023cites this paper
• High order computation of optimal transport, mean field planning, and potential mean field games

  2023cites this paper
• Mean-field game analysis of crowd evacuation using the Cristiani-Santo-Menci method.

  2023cites this paper
• Dealer markets: A reinforcement learning mean field game approach

  2023cites this paper
• Forward-Forward Mean Field Games in Mathematical Modeling with Application to Opinion Formation and Voting Models

  2023cites this paper
• A Discrete Weak KAM Method for First-Order Stationary Mean Field Games

  2023cites this paper
• Mean field games of energy storage devices: A finite difference analysis

  2023cites this paper
• A time-fractional optimal transport and mean-field planning: Formulation and algorithm

  2023cites this paper
• Deep Learning for Population-Dependent Controls in Mean Field Control Problems with Common Noise

  2023cites this paper
• Finite element approximation of time-dependent mean field games with nondifferentiable Hamiltonians

  2023cites this paper
• Convexification Numerical Method for the Retrospective Problem of Mean Field Games

  2023cites this paper
• Exponential integrators for mean-field selective optimal control problems

  2023cites this paper
• Parameterized Wasserstein Hamiltonian Flow

  2023cites this paper
• Minimum-time strategy optimization for networked evolutionary games with bankruptcy mechanism

  2023cites this paper
• Networked Communication for Decentralised Agents in Mean-Field Games

  2023cites this paper
• Forward-Backward Algorithm for Functions with Locally Lipschitz Gradient: Applications to Mean Field Games

  2023cites this paper
• Multisymplectic Formulation of Deep Learning Using Mean-Field Type Control and Nonlinear Stability of Training Algorithm

  2022cites this paper
• A high-order Lagrange-Galerkin scheme for a class of Fokker-Planck equations and applications to mean field games

  2022cites this paper
• A high-order scheme for mean field games

  2022cites this paper
• Modeling and optimization control of networked evolutionary games with heterogeneous memories and switched topologies

  2022cites this paper
• Learning Mean Field Games: A Survey

  2022cites this paper