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Markov control processes with randomized discounted cost
Authors:Juan González-Hernández  Raquiel R. López-Martínez  J. Rubén Pérez-Hernández
Affiliation:(1) Departamento de Probabilidad y Estadística, IIMAS-UNAM, A. Postal 20–726, Mexico D.F., 01000, Mexico;(2) Facultad de Matemáticas UV, A. Postal 270, Xalapa, Ver.91090, Mexico;(3) Departamento de Ciencias Básicas, UPIITA-IPN, Mexico, Mexico
Abstract:
In this paper we consider Markov Decision Processes with discounted cost and a random rate in Borel spaces. We establish the dynamic programming algorithm in finite and infinity horizon cases. We provide conditions for the existence of measurable selectors. And we show an example of consumption-investment problem. This research was partially supported by the PROMEP grant 103.5/05/40.
Keywords:Markov decision processes  Discounted cost  Random rate  Dynamic programming
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