Abstract

This paper is a sequel to Kurano [1,2], in which average cost Markov decision process (MDPs) with compact state and action spaces have been considered under the hypothesis of Doeblin and the existence of optimal stationary policies has been shown. The objective of this paper is to give the functional characterization. That is, we derive optimality inequalities for MDPs under the hypothesis of Doeblin and prove the validity of them under some reasonable conditions.

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