Particle approximation of one-dimensional mean-field games with local interactions
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Publication:2144304
DOI10.3934/dcds.2022025zbMath1492.91042arXiv2109.02256OpenAlexW3197547469MaRDI QIDQ2144304
Ricardo Ribeiro, Diogo Aguiar Gomes, Marco Di Francesco, Serikbolsyn Duisembay
Publication date: 1 June 2022
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.02256
Stochastic particle methods (65C35) Mean field games and control (49N80) Mean field games (aspects of game theory) (91A16)
Cites Work
- Unnamed Item
- Mean field type control with congestion. II: An augmented Lagrangian method
- One-dimensional forward-forward mean-field games
- Some estimates for the planning problem with potential
- Mean field games. I: The stationary case
- Mean field games. II: Finite horizon and optimal control
- Mean field games
- A convexity principle for interacting gases
- Deterministic particle approximation of scalar conservation laws
- Two numerical approaches to stationary mean-field games
- A deterministic particle approximation for non-linear conservation laws
- Iterative strategies for solving linearized discrete mean field games systems
- Numerical methods for finite-state mean-field games satisfying a monotonicity condition
- Convergence of the follow-the-leader scheme for scalar conservation laws with space dependent flux
- A variational approach to the mean field planning problem
- The planning problem in mean field games as regularized mass transport
- Deterministic particle approximation for nonlocal transport equations with nonlinear mobility
- Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
- On the planning problem for the mean field games system
- Finite Difference Methods for Mean Field Games
- Mean Field Games: Numerical Methods for the Planning Problem
- Deterministic diffusion of particles
- Proximal Methods for Stationary Mean Field Games with Local Couplings
- A New Class of First Order Displacement Convex Functionals
- Optimal density evolution with congestion: L∞ bounds via flow interchange techniques and applications to variational Mean Field Games
- Displacement convexity for first-order mean-field games
- On the implementation of a primal-dual algorithm for second order time-dependent Mean Field Games with local couplings
- One-dimensional multi-agent optimal control with aggregation and distance constraints: qualitative properties and mean-field limit
- The Hessian Riemannian flow and Newton’s method for effective Hamiltonians and Mather measures
- Large-Population Cost-Coupled LQG Problems With Nonuniform Agents: Individual-Mass Behavior and Decentralized $\varepsilon$-Nash Equilibria
- Mean Field Games: Numerical Methods
- Identification of Asymptotic Decay to Self-Similarity for One-Dimensional Filtration Equations
- Convergence of a Finite Difference Scheme to Weak Solutions of the System of Partial Differential Equations Arising in Mean Field Games