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1. Introduction. One of the major questions that occurs in investigating problems of dynamic programming on an infinite time interval is" in which natural classes of strategies do there exist strategies that produce a pay-off uniformly close to the pure value? It is known that in the case of finite state and control sets, optimal stationary strategies exist(More)
(Translated by Merle Ellis) 6. The main results. This paper is a continuation of [1]. Throughout we examine a homogeneous controlled Markov model d {X, A(.), p, r} with discrete time, count-able state space X, sets of controls A(x), x X, transition function p and payoff function r. For the initial state x X and strategy r H, where H is the set of all(More)
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