IDEAS home Printed from
MyIDEAS: Log in (now much improved!) to save this paper

Patience, Fish Wars, rarity value & Allee effects

Listed author(s):
  • Reinoud Joosten
Registered author(s):

    In a Small Fish War two agents interacting on a body of water have essentially two options: they can fish with restraint or without. Fishing with restraint is not harmful; shing without yields a higher immediate catch, but may induce lower future catches. Inspired by recent work in biology, we introduce into this setting rarity value and Allee effects. Rarity value means that extreme scarcity of the sh may affect its unit pro t 'explosively'. An Allee effect implies that if the population size or density falls below a so-called Allee threshold, then only negative growth rates can occur from then on. We examine equilibrium behavior of the agents under the limiting average reward criterion and the sustainability of the common-pool resource system. Assuming fixed prices at fi rst, we show that patience on the part of the agents is bene cial to both sustainable high catches and fish stocks. An Allee effect can not influence the set of equilibrium rewards unless the Allee threshold is (unrealistically) high. A price mechanism reflecting effects of the resource's scarcity, is then imposed. We obtain a rather subtle picture of what may occur. Patience may be detrimental to the sustainability of a high fish stock and it may be compatible with equilibrium behavior to exhaust the resource almost completely. However, this result does not hold in general but it depends on complex relations between the Allee threshold, the dynamics in the (interactive) resource and price systems, and the actual scarcity caused if the agents show no restraint.

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

    File URL:
    Download Restriction: no

    Paper provided by Philipps University Marburg, Department of Geography in its series Papers on Economics and Evolution with number 2007-24.

    in new window

    Date of creation: Dec 2007
    Handle: RePEc:esi:evopap:2007-24
    Contact details of provider: Postal:
    Deutschhausstrasse 10, 35032 Marburg

    Phone: 064212824257
    Fax: 064212828950
    Web page:

    More information through EDIRC

    References listed on IDEAS
    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

    in new window

    1. Reinoud Joosten & Thomas Brenner & Ulrich Witt, 2003. "Games with frequency-dependent stage payoffs," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(4), pages 609-620, September.
    2. Erwin Bulte & Henk Folmer & Wim Heijman, 1995. "Open access, common property and scarcity rent in fisheries," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 6(4), pages 309-320, December.
    3. Fudenberg, Drew & Maskin, Eric, 1986. "The Folk Theorem in Repeated Games with Discounting or with Incomplete Information," Econometrica, Econometric Society, vol. 54(3), pages 533-554, May.
    4. Reinoud Joosten, 2007. "Strategic Advertisement with Externalities: A New Dynamic Approach," Papers on Economics and Evolution 2007-02, Philipps University Marburg, Department of Geography.
    5. AMIR, Rabah, "undated". "Stochastic games in economics and related fields: an overview," CORE Discussion Papers RP 1664, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    Full references (including those not matched with items on IDEAS)

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    When requesting a correction, please mention this item's handle: RePEc:esi:evopap:2007-24. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Christoph Mengs)

    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 references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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

    This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.