Kiefer, Stefan, Mayr, Richard, Shirmohammadi, Mahsa and Totzke, Patrick ORCID: 0000-0001-5274-8190
(2019)
Büchi Objectives in Countable MDPs.
In: ICALP, 2019-7-8 - 2019-8-12, Patras, GR.
Text
main.pdf - Author Accepted Manuscript Download (605kB) | Preview |
Abstract
We study countably infinite Markov decision processes with B\"uchi objectives, which ask to visit a given subset of states infinitely often. A question left open by T.P. Hill in 1979 is whether there always exist $\varepsilon$-optimal Markov strategies, i.e., strategies that base decisions only on the current state and the number of steps taken so far. We provide a negative answer to this question by constructing a non-trivial counterexample. On the other hand, we show that Markov strategies with only 1 bit of extra memory are sufficient.
Item Type: | Conference or Workshop Item (Unspecified) |
---|---|
Additional Information: | full version of an ICALP'19 paper. This update only fixes some typesetting issues |
Uncontrolled Keywords: | math.PR, math.PR, cs.FL, math.OC |
Depositing User: | Symplectic Admin |
Date Deposited: | 21 Aug 2019 08:38 |
Last Modified: | 19 Jan 2023 00:31 |
DOI: | 10.4230/LIPIcs.ICALP.2019.119 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3051509 |