IDEAS home Printed from https://ideas.repec.org/a/spr/mathme/v65y2007i1p27-44.html
   My bibliography  Save this article

Markov control processes with randomized discounted cost

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00186-006-0092-2
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s00186-006-0092-2?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    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. Harald Uhlig & Martin Lettau, 1999. "Rules of Thumb versus Dynamic Programming," American Economic Review, American Economic Association, vol. 89(1), pages 148-174, March.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yonghui Huang & Qingda Wei & Xianping Guo, 2013. "Constrained Markov decision processes with first passage criteria," Annals of Operations Research, Springer, vol. 206(1), pages 197-219, July.
    2. Krishnamurthy Iyer & Nandyala Hemachandra, 2010. "Sensitivity analysis and optimal ultimately stationary deterministic policies in some constrained discounted cost models," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 71(3), pages 401-425, June.
    3. Flesch, J. & Thuijsman, F. & Vrieze, O. J., 1999. "Average-discounted equilibria in stochastic games," European Journal of Operational Research, Elsevier, vol. 112(1), pages 187-195, January.
    4. J. Minjárez-Sosa, 2015. "Markov control models with unknown random state–action-dependent discount factors," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(3), pages 743-772, October.
    5. Antonia López Villavicencio & Josep Lluís Raymond Bara, 2006. "The short and long-run determinants of the real exchange rate in Mexico," Working Papers wpdea0606, Department of Applied Economics at Universitat Autonoma of Barcelona.
    6. Adolfson, Malin, 2001. "Monetary Policy with Incomplete Exchange Rate Pass-Through," SSE/EFI Working Paper Series in Economics and Finance 476, Stockholm School of Economics.
    7. Ellison, Martin, 2006. "The learning cost of interest rate reversals," Journal of Monetary Economics, Elsevier, vol. 53(8), pages 1895-1907, November.
    8. Steve Newbold & Charles Griffiths & Christopher C. Moore & Ann Wolverton & Elizabeth Kopits, 2010. "The "Social Cost of Carbon" Made Simple," NCEE Working Paper Series 201007, National Center for Environmental Economics, U.S. Environmental Protection Agency, revised Aug 2010.
    9. Luboš Komárek & Filip Rozsypal, 2009. "Vymezení a vyhodnocení agresivity centrálních bank [Definition and Evaluation of the Central Bank agresivity]," Politická ekonomie, Prague University of Economics and Business, vol. 2009(3), pages 383-404.
    10. Frederick H. Wallace & Gary L. Shelley & Luis F. Cabrera Castellanos, 2004. "Pruebas de la neutralidad monetaria a largo plazo: el caso de Nicaragua," Monetaria, CEMLA, vol. 0(4), pages 407-418, octubre-d.
    11. Mala Raghavan & Mardi Dungey, 2015. "Should ASEAN-5 monetary policy-makers act pre-emptively against stock market bubbles?," Applied Economics, Taylor & Francis Journals, vol. 47(11), pages 1086-1105, March.
    12. Meissner, Thomas & Rostam-Afschar, Davud, 2017. "Learning Ricardian Equivalence," Journal of Economic Dynamics and Control, Elsevier, vol. 82(C), pages 273-288.
    13. Minford, Patrick & Ou, Zhirong, 2013. "Taylor Rule or optimal timeless policy? Reconsidering the Fed's behavior since 1982," Economic Modelling, Elsevier, vol. 32(C), pages 113-123.
    14. Hannes Draack, 2018. "Monetary Policy with Imperfect Signals: The Target Problem in a New Monetarist Approach," ECON - Working Papers 296, Department of Economics - University of Zurich.
    15. Jinho Bae & Chang-Jin Kim & Dong Kim, 2012. "The evolution of the monetary policy regimes in the U.S," Empirical Economics, Springer, vol. 43(2), pages 617-649, October.
    16. Philippe Jehiel, 2022. "Analogy-Based Expectation Equilibrium and Related Concepts:Theory, Applications, and Beyond," Working Papers halshs-03735680, HAL.
    17. Michael D. Bauer & Eric T. Swanson, 2023. "An Alternative Explanation for the "Fed Information Effect"," American Economic Review, American Economic Association, vol. 113(3), pages 664-700, March.
    18. Benigno, Gianluca, 2004. "Real exchange rate persistence and monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 51(3), pages 473-502, April.
    19. Defrancesco, Edi & Gatto, Paola & Rosato, Paolo, 2014. "A ‘component-based’ approach to discounting for natural resource damage assessment," Ecological Economics, Elsevier, vol. 99(C), pages 1-9.
    20. Ayşegül Ladin SÜMER, 2020. "Optimal Taylor rule in the new era central banking perspective," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania - AGER, vol. 0(1(622), S), pages 159-170, Spring.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:mathme:v:65:y:2007:i:1:p:27-44. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.