We study countably infinite MDPs with parity objectives, and special cases with a bounded number of colors in the Mostowski hierarchy (including reachability, safety, Büchi and co-Büchi).
@inproceedings{KieferMSW17,
title = {Parity objectives in countable MDPs},
author = {Stefan Kiefer and Richard Mayr and Mahsa Shirmohammadi and Dominik Wojtczakz},
booktitle = {LICS},
year = {2017},
doi = {10.1109/lics.2017.8005100}
}