Mean field Markov decision processes

DOI10.1007/S00245-023-09985-1OpenAlexW3169573488MaRDI QIDQ2701089

Nicole Bäuerle

Publication date: 27 April 2023

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.08755

zbMATH Keywords

Markov decision processaverage rewardmean-field control

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Markov and semi-Markov decision processes (90C40) Optimality conditions for problems involving randomness (49K45)

Related Items (1)

Quantitative propagation of chaos for mean field Markov decision process with common noise

Cites Work

• Unnamed Item
• Discrete-time control for systems of interacting objects with unknown random disturbance distributions: a mean field approach
• Control systems of interacting objects modeled as a game against nature under a mean field approach
• Discrete time McKean-Vlasov control problem: a dynamic programming approach
• Markov decision processes with applications to finance.
• A mean field approach for optimization in discrete time
• Mean field games. I: The stationary case
• Simulation-based algorithms for Markov decision processes.
• Discrete time, finite state space mean field games
• Anonymous sequential games
• Blackwell optimality in the class of stationary policies in Markov decision chains with a Borel state space and unbounded rewards
• Perturbation theory for Markov chains via Wasserstein distance
• Discrete-time ergodic mean-field games with average reward on compact spaces
• Discrete time mean-field stochastic linear-quadratic optimal control problems
• Conditions Under Which a Markov Chain Converges to its Steady State in Finite Time
• Steady State Policies for Deterministic Dynamic Programs
• Markov--Nash Equilibria in Mean-Field Games with Discounted Cost
• Optimal Control of Partially Observable Piecewise Deterministic Markov Processes
• Average Optimality in Dynamic Programming with General State Space
• Average Optimality in Markov Control Processes via Discounted-Cost Problems and Linear Programming
• Approximate Dynamic Programming
• Probabilistic Theory of Mean Field Games with Applications II
• Mean Field for Markov Decision Processes: From Discrete to Continuous Optimization
• A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS
• Convex stochastic fluid programs with average cost.

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