IDEAS home Printed from https://ideas.repec.org/a/wsi/igtrxx/v22y2020i01ns0219198919500099.html
   My bibliography  Save this article

Environmental Stochasticity, Cournot Competition and the Prisoner’s Dilemma

Author

Listed:
  • Robert Mamada

    (College of Humanities and Social Sciences, Grand Canyon University, Phoenix, AZ 85017, USA)

  • Charles Perrings

    (School of Life Sciences, Arizona State University, Tempe, AZ 85281, USA)

Abstract

The production of natural resource-based commodities is frequently affected by environmental uncertainty and the strategic response of producers to uncertainty. We ask when uncertainty induces cooperation. Using a model of Cournot competition under environmentally induced price uncertainty, we consider the conditions under which cooperation is favored over defection. We find that the probability of cooperation depends on the length of the time period over which production levels are adjusted to price shocks. When uncertainty is low, the probability of cooperation is monotonically increasing in the length of this adjustment period. When uncertainty is high, the probability of cooperation initially increases as the adjustment period lengthens, but beyond some threshold starts to fall. In this case, the expected outcome is defection. We consider the broader implications of these findings.

Suggested Citation

  • Robert Mamada & Charles Perrings, 2020. "Environmental Stochasticity, Cournot Competition and the Prisoner’s Dilemma," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 22(01), pages 1-11, March.
  • Handle: RePEc:wsi:igtrxx:v:22:y:2020:i:01:n:s0219198919500099
    DOI: 10.1142/S0219198919500099
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219198919500099
    Download Restriction: Access to full text is restricted to subscribers

    File URL: https://libkey.io/10.1142/S0219198919500099?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.

    More about this item

    Keywords

    Cournot competition; price stochasticity; Itô’s lemma; Wiener process;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    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:wsi:igtrxx:v:22:y:2020:i:01:n:s0219198919500099. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/igtr/igtr.shtml .

    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.