Nonsmooth mean field games with state constraints
DOI10.1051/cocv/2022069zbMath1505.49028arXiv2110.15713OpenAlexW4286889902MaRDI QIDQ5060159
Guilherme Mazanti, Saeed Sadeghi Arjmand
Publication date: 18 January 2023
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.15713
optimal controlstate constraintsnonsmooth analysiscongestion gamesmean field gamesminimal timeMFG (mean field game) system
Nonsmooth analysis (49J52) Regularity of solutions in optimal control (49N60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Optimality conditions for problems involving ordinary differential equations (49K15) Mean field games and control (49N80) Mean field games (aspects of game theory) (91A16) PDEs in connection with mean field game theory (35Q89)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Macroscopic models for vehicular flows and crowd dynamics: theory and applications. Classical and non-classical advanced mathematics for real life applications
- Semiconcave functions, Hamilton-Jacobi equations, and optimal control
- Time-evolving measures and macroscopic modeling of pedestrian flow
- Mean field games. I: The stationary case
- Mean field games. II: Finite horizon and optimal control
- Lipschitz continuity and local semiconcavity for exit time problems with state constraints
- Mean field games
- Anonymous sequential games
- Shape analysis via oriented distance functions
- Sharp semi-concavity in a non-autonomous control problem and \(L^p\) estimates in an optimal-exit MFG
- Mean field games with state constraints: from mild to pointwise solutions of the PDE system
- Second order local minimal-time mean field games
- On the asymptotic nature of first order mean field games
- C\(^{1,1}\)-smoothness of constrained solutions in the calculus of variations with application to mean field games
- A probabilistic weak formulation of mean field games and applications
- Mean field games via controlled martingale problems: existence of Markovian equilibria
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Existence and uniqueness for mean field games with state constraints
- Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
- Extended Deterministic Mean-Field Games
- Regularity Theory for Mean-Field Game Systems
- First Order Mean Field Games with Density Constraints: Pressure Equals Price
- Multiscale Modeling of Granular Flows with Application to Crowd Dynamics
- Weak Solutions for First Order Mean Field Games with Local Coupling
- Values of Non-Atomic Games
- T<scp>HE</scp> F<scp>LOW OF</scp> H<scp>UMAN</scp> C<scp>ROWDS</scp>
- The Master Equation and the Convergence Problem in Mean Field Games
- Crowds in Equations
- Minimal-time mean field games
- Multipopulation Minimal-Time Mean Field Games
- Mild and weak solutions of Mean Field Games problem for linear control systems
- A Cucker--Smale Inspired Deterministic Mean Field Game with Velocity Interactions
- Large-Population Cost-Coupled LQG Problems With Nonuniform Agents: Individual-Mass Behavior and Decentralized $\varepsilon$-Nash Equilibria
- Probabilistic Theory of Mean Field Games with Applications I
- Probabilistic Theory of Mean Field Games with Applications II
- Markets with a Continuum of Traders
- Optimal control
- Set-valued analysis
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
This page was built for publication: Nonsmooth mean field games with state constraints
