Mean-field Markov decision processes with common noise and open-loop controls
From MaRDI portal
Publication:2135276
DOI10.1214/21-AAP1713zbMath1491.90179arXiv1912.07883MaRDI QIDQ2135276
Publication date: 6 May 2022
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.07883
Markov decision processmean-fieldrandomized controlconditional propagation of chaosmeasurable coupling
Dynamic programming in optimal control and differential games (49L20) Markov and semi-Markov decision processes (90C40)
Related Items
Extended mean field control problem: a propagation of chaos result, Centralized systemic risk control in the interbank system: weak formulation and gamma-convergence, Unified reinforcement Q-learning for mean field game and control problems, Large Sample Mean-Field Stochastic Optimization, Mean field approximation of an optimal control problem for the continuity equation arising in smart charging, A dynamic analytic method for risk-aware controlled martingale problems, Quantitative propagation of chaos for mean field Markov decision process with common noise, Large population games with interactions through controls and common noise: convergence results and equivalence between open-loop and closed-loop controls, Equilibrium pricing of securities in the co-presence of cooperative and non-cooperative populations, Model-free mean-field reinforcement learning: mean-field MDP and mean-field Q-learning
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the rate of convergence in Wasserstein distance of the empirical measure
- Discrete time McKean-Vlasov control problem: a dynamic programming approach
- Measurability of optimal transportation and strong coupling of martingale measures
- Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
- Weak convergence and empirical processes. With applications to statistics
- Extended mean field control problem: a propagation of chaos result
- On the mean speed of convergence of empirical and occupation measures in Wasserstein distance
- Randomized dynamic programming principle and Feynman-Kac representation for optimal control of McKean-Vlasov dynamics
- Mean-field optimal control as Gamma-limit of finite agent controls
- Mean Field Games and Mean Field Type Control Theory
- Limit Theory for Controlled McKean--Vlasov Dynamics
- Probabilistic Theory of Mean Field Games with Applications II
- Dynamic Programming for Optimal Control of Stochastic McKean--Vlasov Dynamics
- Dynamic programming for mean-field type control
- Optimal Transport