Rectangularity and duality of distributionally robust Markov Decision Processes

Fuente: arXiv
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Auteurs principaux: Li, Yan, Shapiro, Alexander
Format: Preprint
Publié: 2023
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author Li, Yan
Shapiro, Alexander
author_facet Li, Yan
Shapiro, Alexander
contents The main goal of this paper is to discuss several approaches to formulation of distributionally robust counterparts of Markov Decision Processes, where the transition kernels are not specified exactly but rather are assumed to be elements of the corresponding ambiguity sets. The intent is to clarify some connections between the game and static formulations of distributionally robust MDPs, and delineate the role of rectangularity associated with ambiguity sets in determining these connections.
format Preprint
id arxiv_https___arxiv_org_abs_2308_11139
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Rectangularity and duality of distributionally robust Markov Decision Processes
Li, Yan
Shapiro, Alexander
Optimization and Control
The main goal of this paper is to discuss several approaches to formulation of distributionally robust counterparts of Markov Decision Processes, where the transition kernels are not specified exactly but rather are assumed to be elements of the corresponding ambiguity sets. The intent is to clarify some connections between the game and static formulations of distributionally robust MDPs, and delineate the role of rectangularity associated with ambiguity sets in determining these connections.
title Rectangularity and duality of distributionally robust Markov Decision Processes
topic Optimization and Control
url https://arxiv.org/abs/2308.11139