IDEAS home Printed from https://ideas.repec.org/p/ecm/ausm04/122.html
   My bibliography  Save this paper

A Dynamic Game on Renewable Natural Resource Exploitation

Author

Listed:
  • Shinji Kobayashi

Abstract

This paper studies oligopolistic firms’ exploitation of a renewable natural resource in a differential game. It is well known that finding Markov perfect equilibrium in differential games is extremely difficult except for games that are linear-quadratic. In this paper, we develop a differential game model that is not linear-quadratic and derive Markov perfect equilibrium for the game. One salient feature of the model is that consumers are concerned with the stock of the natural resource in that consumers’ demand for harvest of the natural resource depends upon the level of the stock of the natural resource. We also examine the effects of taxation on equilibrium. Moreover, we discuss open-loop equilibrium for the games under both cooperative and noncooperative exploitation of the natural resource

Suggested Citation

  • Shinji Kobayashi, 2004. "A Dynamic Game on Renewable Natural Resource Exploitation," Econometric Society 2004 Australasian Meetings 122, Econometric Society.
    • Handle: RePEc:ecm:ausm04:122
    as

    Download full text from publisher

    File URL: http://repec.org/esAUSM04/up.22138.1077462738.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    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. 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.
    2. Julien Guyot & Akhil Rao & Sebastien Rouillon, 2022. "The long-run economics of sustainable orbit use," Working Papers hal-03891292, HAL.
    3. 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.
    4. Costello, Christopher & Molina, Renato, 2021. "Transboundary marine protected areas," Resource and Energy Economics, Elsevier, vol. 65(C).
    5. 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.
    6. Schultz, Bill, 2020. "Resource management and joint-planning in fragmented societies," Ecological Economics, Elsevier, vol. 171(C).
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. Strulik, Holger & Werner, Katharina, 2023. "Renewable resource use with imperfect self-control," Journal of Economic Behavior & Organization, Elsevier, vol. 212(C), pages 778-795.
    13. 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.
    14. 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.
    15. 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.
    16. 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).
    17. 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.
    18. Fabrice Collard & Carole Haritchabalet, 2012. "Valuing satellite systems to support fishing in a dynamic competitive model," Applied Economics, Taylor & Francis Journals, vol. 44(7), pages 899-916, March.
    19. Charles Figuières & Mabel Tidball, 2016. "Sustainable Exploitation of a Natural Resource: A Satisfying Use of Chichilnisky’s Criterion," Studies in Economic Theory, in: Graciela Chichilnisky & Armon Rezai (ed.), The Economics of the Global Environment, pages 207-229, Springer.
    20. Libois, François, 2022. "Success and failure of communities managing natural resources: Static and dynamic inefficiencies," Journal of Environmental Economics and Management, Elsevier, vol. 114(C).

    More about this item

    Keywords

    Renewable natural resource; oligopoly; differential game;
    All these keywords.

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:ecm:ausm04:122. 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: Christopher F. Baum (email available below). General contact details of provider: https://edirc.repec.org/data/essssea.html .

    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.