IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v11y1997i1p79-100.html
   My bibliography  Save this article

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 search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
    2. Benhabib, Jess & Radner, Roy, 1992. "The Joint Exploitation of a Productive Asset: A Game-Theoretic Approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(2), pages 155-190, April.
    3. Dockner, Engelbert J. & Sorger, Gerhard, 1996. "Existence and Properties of Equilibria for a Dynamic Game on Productive Assets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 209-227, October.
    4. Dutta, Prajit K & Sundaram, Rangarajan, 1992. "Markovian Equilibrium in a Class of Stochastic Games: Existence Theorems for Discounted and Undiscounted Models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(2), pages 197-214, April.
    5. Reinganum, Jennifer F & Stokey, Nancy L, 1985. "Oligopoly Extraction of a Common Property Natural Resource: The Importance of the Period of Commitment in Dynamic Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(1), pages 161-173, February.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Rincón-Zapatero, Juan Pablo & Josa-Fombellida, Ricardo, 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.
    2. Bård Harstad, 2016. "The Dynamics Of Climate Agreements," Journal of the European Economic Association, European Economic Association, vol. 14(3), pages 719-752, June.
    3. 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.
    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. Jayasri Dutta & Colin Rowat, 2004. "The Road to Extinction: Commons with Capital Markets," GE, Growth, Math methods 0412001, University Library of Munich, Germany.
    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. 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.
    10. Y. Hossein Farzin & Ken-Ichi Akao, 2006. "When is it Optimal to Exhaust a Resource in a Finite Time?," Working Papers 2006.23, Fondazione Eni Enrico Mattei.

    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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sonal Shukla) or (Rebekah McClure). General contact details of provider: http://www.springer.com .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.