Operations Research Proceedings 1994 pp 250-254 | Cite as
Sensitive Criteria in Markov Decision Processes with a Borel State Space
Conference paper
Summary
The paper considers Markov decision processes with a Borel state space, finite action sets, bounded rewards, and a bounded transition density satisfying a simultaneous Doeblin-type recurrence condition. The existence of stationary strong 0-discount optimal and Blackwell optimal policies is proved. A characterization of those policies in terms of the average optimality equation (the infinite dimensional lexicographical optimality equation, respectively) is given.
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© Springer-Verlag Berlin Heidelberg 1995