IDEAS home Printed from https://ideas.repec.org/a/spr/jotpro/v16y2003i4d10.1023_bjotp.0000011995.28536.ef.html
   My bibliography  Save this article

Continuity of the Value of Competitive Markov Decision Processes

Author

Listed:
  • Eilon Solan

    (Northwestern University
    Tel Aviv University)

Abstract

We provide a bound for the variation of the function that assigns to every competitive Markov decision process and every discount factor its discounted value. This bound implies that the undiscounted value of a competitive Markov decision process is continuous in the relative interior of the space of transition rules.

Suggested Citation

  • Eilon Solan, 2003. "Continuity of the Value of Competitive Markov Decision Processes," Journal of Theoretical Probability, Springer, vol. 16(4), pages 831-845, October.
  • Handle: RePEc:spr:jotpro:v:16:y:2003:i:4:d:10.1023_b:jotp.0000011995.28536.ef
    DOI: 10.1023/B:JOTP.0000011995.28536.ef
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/B:JOTP.0000011995.28536.ef
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1023/B:JOTP.0000011995.28536.ef?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. Emanuel Milman, 2002. "The Semi-Algebraic Theory of Stochastic Games," Mathematics of Operations Research, INFORMS, vol. 27(2), pages 401-418, May.
    2. David Levhari & Leonard J. Mirman, 1980. "The Great Fish War: An Example Using a Dynamic Cournot-Nash Solution," Bell Journal of Economics, The RAND Corporation, vol. 11(1), pages 322-334, Spring.
    3. Rabah Amir, 1987. "Sequential Games of Resource Extraction: Existence of Nash Equilibria," Cowles Foundation Discussion Papers 825, Cowles Foundation for Research in Economics, Yale University.
    4. Truman Bewley & Elon Kohlberg, 1976. "The Asymptotic Theory of Stochastic Games," Mathematics of Operations Research, INFORMS, vol. 1(3), pages 197-208, August.
    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. Jérôme Bolte & Stéphane Gaubert & Guillaume Vigeral, 2015. "Definable Zero-Sum Stochastic Games," Mathematics of Operations Research, INFORMS, vol. 40(1), pages 171-191, February.
    2. Chantal Marlats, 2015. "A Folk theorem for stochastic games with finite horizon," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(3), pages 485-507, April.
    3. K. Avrachenkov & V. Ejov & J. A. Filar & A. Moghaddam, 2019. "Zero-Sum Stochastic Games over the Field of Real Algebraic Numbers," Dynamic Games and Applications, Springer, vol. 9(4), pages 1026-1041, December.
    4. Rauscher, Michael, 1996. "Sustainable Development and Complex Ecosystems. An Economist's View," Thuenen-Series of Applied Economic Theory 02, University of Rostock, Institute of Economics.
    5. Julien Guyot & Akhil Rao & Sebastien Rouillon, 2022. "The long-run economics of sustainable orbit use," Working Papers hal-03891292, HAL.
    6. Gerhard Sorger, 2005. "A dynamic common property resource problem with amenity value and extraction costs," International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(1), pages 3-19, March.
    7. Costello, Christopher & Molina, Renato, 2021. "Transboundary marine protected areas," Resource and Energy Economics, Elsevier, vol. 65(C).
    8. Can Askan Mavi & Nicolas Quérou, 2020. "Common pool resource management and risk perceptions," DEM Discussion Paper Series 20-25, Department of Economics at the University of Luxembourg.
    9. Schultz, Bill, 2020. "Resource management and joint-planning in fragmented societies," Ecological Economics, Elsevier, vol. 171(C).
    10. Christos Koulovatianos & Leonard J. Mirman, 2003. "The Effects of Market Structure on Industry Growth," University of Cyprus Working Papers in Economics 7-2003, University of Cyprus Department of Economics.
    11. Adam N. Walker & Hans-Peter Weikard & Andries Richter, 2015. "The Rise and Fall of the Great Fish Pact under Endogenous Risk of Stock Collapse," Working Papers 2015.60, Fondazione Eni Enrico Mattei.
    12. N. Quérou & M. Tidball, 2014. "Consistent conjectures in a dynamic model of non-renewable resource management," Annals of Operations Research, Springer, vol. 220(1), pages 159-180, September.
    13. Petros G. Sekeris, 2014. "The tragedy of the commons in a violent world," RAND Journal of Economics, RAND Corporation, vol. 45(3), pages 521-532, September.
    14. Tarui, Nori & Mason, Charles F. & Polasky, Stephen & Ellis, Greg, 2008. "Cooperation in the commons with unobservable actions," Journal of Environmental Economics and Management, Elsevier, vol. 55(1), pages 37-51, January.
    15. Strulik, Holger & Werner, Katharina, 2023. "Renewable resource use with imperfect self-control," Journal of Economic Behavior & Organization, Elsevier, vol. 212(C), pages 778-795.
    16. Fesselmeyer, Eric & Santugini, Marc, 2013. "Strategic exploitation of a common resource under environmental risk," Journal of Economic Dynamics and Control, Elsevier, vol. 37(1), pages 125-136.
    17. Charles Morcom & Michael Kremer, 2000. "Elephants," American Economic Review, American Economic Association, vol. 90(1), pages 212-234, March.
      • Michael Kremer & Charles Morcom, 1996. "Elephants," NBER Working Papers 5674, National Bureau of Economic Research, Inc.
      • Kremer, M. & Morcom, C., 1996. "Elephants," Working papers 96-17, Massachusetts Institute of Technology (MIT), Department of Economics.
    18. Christopher Berry, 2008. "Piling On: Multilevel Government and the Fiscal Common‐Pool," American Journal of Political Science, John Wiley & Sons, vol. 52(4), pages 802-820, October.
    19. van der Ploeg, Frederick, 2020. "Race to burn the last ton of carbon and the risk of stranded assets," European Journal of Political Economy, Elsevier, vol. 64(C).
    20. Samano, Mario & Santugini, Marc & Zaccour, Georges, 2017. "Dynamics in research joint ventures and R&D collaborations," Journal of Economic Dynamics and Control, Elsevier, vol. 77(C), pages 70-92.

    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:jotpro:v:16:y:2003:i:4:d:10.1023_b:jotp.0000011995.28536.ef. 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.