Ergodic behavior of control and mean field games problems depending on acceleration
From MaRDI portal
Publication:1995023
DOI10.1016/j.na.2020.112185zbMath1458.35051arXiv2007.02704OpenAlexW3098467712WikidataQ114146032 ScholiaQ114146032MaRDI QIDQ1995023
Pierre Cardaliaguet, Cristian Mendico
Publication date: 18 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/2007.02704
Asymptotic behavior of solutions to PDEs (35B40) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Hamilton-Jacobi equations (35F21)
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Cites Work
- On representation formulas for long run averaging optimal control problem
- Periodic homogenization of the inviscid G-equation for incompressible flows
- Large-time asymptotics for one-dimensional Dirichlet problems for Hamilton-Jacobi equations with noncoercive Hamiltonians
- Semiconcave functions, Hamilton-Jacobi equations, and optimal control
- Homogenization and enhancement for the \(G\)-equation
- Long-time behavior of first-order mean field games on Euclidean space
- Mean field games. I: The stationary case
- Mean field games. II: Finite horizon and optimal control
- Ergodicity of Hamilton-Jacobi equations with a noncoercive nonconvex Hamiltonian in \(\mathbb R^2/\mathbb Z^2\)
- Mean field games
- Ergodic problem for the Hamilton-Jacobi-Bellman equation. II
- The value function of singularly perturbed control systems
- Long time average of mean field games
- A variational approach to the mean field planning problem
- Some homogenization results for non-coercive Hamilton-Jacobi equations
- Long time behavior of the master equation in mean field game theory
- Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
- Long time average of first order mean field games and weak KAM theory
- Regularity Theory for Mean-Field Game Systems
- Uniform Tauberian theorem in differential games
- Long Time Average of Mean Field Games with a Nonlocal Coupling
- A Uniform Tauberian Theorem in Optimal Control
- Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equations
- On ergodic stochastic control
- Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens
- On a Representation of the Limit Occupational Measures Set of a Control System with Applications to Singularly Perturbed Control Systems
- Mild and weak solutions of Mean Field Games problem for linear control systems
- Large-Population Cost-Coupled LQG Problems With Nonuniform Agents: Individual-Mass Behavior and Decentralized $\varepsilon$-Nash Equilibria
- Mean Field Games and Mean Field Type Control Theory
- Ergodic Problems in Differential Games
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- Unnamed Item