Sporadic Overtaking Optimality in Markov Decision Problems

János Flesch (), Arkadi Predtetchinski and Eilon Solan ()
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János Flesch: Maastricht University

Dynamic Games and Applications, 2017, vol. 7, issue 2, No 4, 212-228

Abstract: Abstract This paper examines a notion of sporadic overtaking optimality in the context of Markov decision problems (MDP). For the class of deterministic MDPs, we prove the existence of pure stationary sporadic overtaking optimal strategies under both the discounted and the average payoff evaluations. Moreover, we examine logical connections between sporadic overtaking optimality and Blackwell optimality. In the class of nondeterministic MDPs, we give examples that admit no sporadic overtaking optimal strategy and discuss a number of alternative definitions of this concept.

Keywords: Overtaking optimality; Sporadic overtaking optimality; Markov decision problems; Blackwell optimality (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s13235-016-0186-2

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