On a~reduction of the jump Markov control model to a~discrete time model
Teoriâ veroâtnostej i ee primeneniâ, Tome 25 (1980) no. 1, pp. 59-70

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Using a reduction to discrete time we prove two properties of jump Markov control models with Borel state and action spaces: 1) the value of the model is analytic; 2) almost everywhere $\varepsilon$-optimal strategies (maybe non-Markovian) do exist.
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     title = {On a~reduction of the jump {Markov} control model to a~discrete time model},
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A. A. Yuškevič. On a~reduction of the jump Markov control model to a~discrete time model. Teoriâ veroâtnostej i ee primeneniâ, Tome 25 (1980) no. 1, pp. 59-70. http://geodesic.mathdoc.fr/item/TVP_1980_25_1_a4/