English

Rectangularity and duality of distributionally robust Markov Decision Processes

Optimization and Control 2024-05-07 v5

Abstract

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.

Keywords

Cite

@article{arxiv.2308.11139,
  title  = {Rectangularity and duality of distributionally robust Markov Decision Processes},
  author = {Yan Li and Alexander Shapiro},
  journal= {arXiv preprint arXiv:2308.11139},
  year   = {2024}
}
R2 v1 2026-06-28T12:01:02.293Z