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arXiv · 1202.4122

Average-Cost Markov Decision Processes with Weakly Continuous Transition Probabilities

Eugene A. Feinberg·Pavlo O. Kasyanov·Nina V. Zadoianchuk
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Abstract

This paper presents sufficient conditions for the existence of stationary optimal policies for average-cost Markov Decision Processes with Borel state and action sets and with weakly continuous transition probabilities. The one-step cost functions may be unbounded, and action sets may be noncompact. The main contributions of this paper are: (i) general sufficient conditions for the existence of stationary discount-optimal and average-cost optimal policies and descriptions of properties of value functions and sets of optimal actions, (ii) a sufficient condition for the average-cost optimality of a stationary policy in the form of optimality inequalities, and (iii) approximations of average-cost optimal actions by discount-optimal actions.

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Eugene A. Feinberg, Pavlo O. Kasyanov, Nina V. Zadoianchuk. 2012-02-19. Average-Cost Markov Decision Processes with Weakly Continuous Transition Probabilities. https://arxiv.org/abs/1202.4122

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