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Markov control processes with randomized discounted cost

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  • Juan González-Hernández
  • Raquiel López-Martínez
  • J. Pérez-Hernández

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. Copyright Springer-Verlag 2007

Suggested Citation

  • Juan González-Hernández & Raquiel López-Martínez & J. Pérez-Hernández, 2007. "Markov control processes with randomized discounted cost," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 65(1), pages 27-44, February.
    • Handle: RePEc:spr:mathme:v:65:y:2007:i:1:p:27-44
    DOI: 10.1007/s00186-006-0092-2
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    References listed on IDEAS

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    1. Eugene A. Feinberg & Adam Shwartz, 1994. "Markov Decision Models with Weighted Discounted Criteria," Mathematics of Operations Research, INFORMS, vol. 19(1), pages 152-168, February.
    2. Cai, Jun & Dickson, David C.M., 2004. "Ruin probabilities with a Markov chain interest model," Insurance: Mathematics and Economics, Elsevier, vol. 35(3), pages 513-525, December.
    3. Berument, Hakan & Kilinc, Zubeyir & Ozlale, Umit, 2004. "The effects of different inflation risk premiums on interest rate spreads," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 317-324.
    4. Sack, Brian & Wieland, Volker, 2000. "Interest-rate smoothing and optimal monetary policy: a review of recent empirical evidence," Journal of Economics and Business, Elsevier, vol. 52(1-2), pages 205-228.
    5. Ogaki, Masao & Santaella, Julio A., 2000. "The exchange rate and the term structure of interest rates in Mexico," Journal of Development Economics, Elsevier, vol. 63(1), pages 135-155, October.
    6. Harald Uhlig & Martin Lettau, 1999. "Rules of Thumb versus Dynamic Programming," American Economic Review, American Economic Association, vol. 89(1), pages 148-174, March.
    7. Haberman, Steven & Sung, Joo-Ho, 2005. "Optimal pension funding dynamics over infinite control horizon when stochastic rates of return are stationary," Insurance: Mathematics and Economics, Elsevier, vol. 36(1), pages 103-116, February.
    8. Newell, Richard G. & Pizer, William A., 2003. "Discounting the distant future: how much do uncertain rates increase valuations?," Journal of Environmental Economics and Management, Elsevier, vol. 46(1), pages 52-71, July.
    9. Eugene A. Feinberg & Adam Shwartz, 1995. "Constrained Markov Decision Models with Weighted Discounted Rewards," Mathematics of Operations Research, INFORMS, vol. 20(2), pages 302-320, May.
    10. Lee, Pei-Ting & Rosenfield, Donald B., 2005. "When to refinance a mortgage: A dynamic programming approach," European Journal of Operational Research, Elsevier, vol. 166(1), pages 266-277, October.
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