IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v11y1997i1p79-100.html

Markov-perfect Nash equilibria in a class of resource games

Author

Listed:
  • Gerhard Sorger

    (Department of Economics, University of Vienna, BrØnner Str. 72, A-1210 Vienna, AUSTRIA)

Abstract

A general model of non-cooperating agents exploiting a renewable resource is considered. Assuming that the resource is sufficiently productive we prove that there exists a continuum of Markov-perfect Nash equilibria (MPNE). Although these equilibria lead to over-exploitation one can approximate the efficient solution by MPNE both in the state space and the payoff space. Furthermore, we derive a necessary and sufficient condition for maximal exploitation of the resource to qualify as a MPNE. This condition is satisfied if there are sufficiently many players, or if the players are sufficiently impatient, or if the capacity of each player is sufficiently high.

Suggested Citation

  • Gerhard Sorger, 1997. "Markov-perfect Nash equilibria in a class of resource games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 79-100.
    • Handle: RePEc:spr:joecth:v:11:y:1997:i:1:p:79-100
    Note: Received: November 1, 1996
    as

    Download full text from publisher

    File URL: http://link.springer.de/link/service/journals/00199/papers/7011001/70110079.pdf
    Download Restriction: Access to the full text of the articles in this series is restricted
    File URL: http://link.springer.de/link/service/journals/00199/papers/7011001/70110079.ps.gz
    Download Restriction: Access to the full text of the articles in this series is restricted
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or

    for a different version of it.

    Other versions of this item:

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. is not listed on IDEAS
    2. Harrison, Rodrigo & Lagunoff, Roger, 2019. "Tipping points and business-as-usual in a global commons," Journal of Economic Behavior & Organization, Elsevier, vol. 163(C), pages 386-408.
    3. Josa-Fombellida, Ricardo & Rincón-Zapatero, Juan Pablo, 2008. "Markov Perfect Nash Equilibrium in stochastic differential games as solution of a generalized Euler Equations System," UC3M Working papers. Economics we086731, Universidad Carlos III de Madrid. Departamento de Economía.
    4. Rodrigo Harrison & Roger Lagunoff, 2015. "Tipping Points and Business-as-Usual in a Global Carbon Commons," Documentos de Trabajo 458, Instituto de Economia. Pontificia Universidad Católica de Chile..
    5. Colin Rowat & Jayasri Dutta, 2007. "The Commons with Capital Markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(2), pages 225-254, May.
    6. Antoniadou, Elena & Koulovatianos, Christos & Mirman, Leonard J., 2013. "Strategic exploitation of a common-property resource under uncertainty," Journal of Environmental Economics and Management, Elsevier, vol. 65(1), pages 28-39.
    7. Salvador Ortigueira, 2004. "Markovian Optimal Taxation," 2004 Meeting Papers 315, Society for Economic Dynamics.
    8. Salvador Ortigueira, 2006. "Markov-Perfect Optimal Taxation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(1), pages 153-178, January.
    9. Jayasri Dutta & Colin Rowat, 2004. "The Road to Extinction: Commons with Capital Markets," Discussion Papers 04-11, Department of Economics, University of Birmingham, revised Jan 2007.
    10. Ken-Ichi Akao, 2008. "Tax schemes in a class of differential games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(1), pages 155-174, April.
    11. Bård Harstad, 2016. "The Dynamics of Climate Agreements," Journal of the European Economic Association, European Economic Association, vol. 14(3), pages 719-752.
    12. Farzin, Y. Hossein & Akao, Ken-Ichi, 2006. "When is it Optimal to Exhaust a Resource in a Finite Time?," Natural Resources Management Working Papers 12153, Fondazione Eni Enrico Mattei (FEEM).
    13. Jayasri Dutta & Colin Rowat, 2004. "The Road to Extinction: Commons with Capital Markets," GE, Growth, Math methods 0412001, University Library of Munich, Germany.

    More about this item

    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:spr:joecth:v:11:y:1997:i:1:p:79-100. 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: 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.