A system of Poisson equations for a nonconstant Varadhan functional on a finite state space
From MaRDI portal
Publication:2492880
DOI10.1007/s00245-005-0840-3zbMath1110.60066OpenAlexW1988447831MaRDI QIDQ2492880
Rolando Cavazos-Cadena, Daniel Hernández-Hernández
Publication date: 15 June 2006
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-005-0840-3
Discrete-time control/observation systems (93C55) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Optimal stochastic control (93E20) Large deviations (60F10) Markov and semi-Markov decision processes (90C40)
Related Items
Local Poisson equations associated with discrete-time Markov control processes ⋮ Discounted approximations in risk-sensitive average Markov cost chains with finite state space ⋮ Markov decision processes under risk sensitivity: a discount vanishing approach ⋮ Contractive mappings and existence of cycle times for a monotone and homogeneous function ⋮ Convergence of value functions for finite horizon Markov decision processes with constraints ⋮ Phase Transitions for Controlled Markov Chains on Infinite Graphs ⋮ Local Poisson equations associated with the Varadhan functional ⋮ Unnamed Item ⋮ Necessary and sufficient conditions for a solution to the risk-sensitive Poisson equation on a finite state space ⋮ Characterization of the Optimal Risk-Sensitive Average Cost in Denumerable Markov Decision Chains