Advanced Search
MyIDEAS: Login to save this paper or follow this series

Markov-Perfect Nash Equilibria in Models With a Single Capital Stock

Contents:

Author Info

  • Dockner, E.J.

    (University of Vienna)

  • Wagener, F.O.O.

    ()
    (Universiteit van Amsterdam)

Abstract

Many economic problems can be formulated as dynamic games in which strategically interacting agents choose actions that determine the current and future levels of a single capital stock. We study necessary conditions that allow us to characterize Markov perfect Nash equalibria (MPNE) for these games. These conditions result in an auxilary system of ordinary differential equations that helps us to explore stability, continuity and differentiability of MPNE. The techniques are used to derive detailed properties of MPNE for several games including the exploitation of a finite resource, the voluntary investment in a public capital stock, and the inter-temporal consumption of a reproductive asset.

Download Info

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: http://www1.fee.uva.nl/cendef/publications/papers/Dockner_Wagener_2006.pdf
Download Restriction: no

Bibliographic Info

Paper provided by Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance in its series CeNDEF Working Papers with number 06-07.

as in new window
Length:
Date of creation: 2006
Date of revision:
Handle: RePEc:ams:ndfwpp:06-07

Contact details of provider:
Postal: Dept. of Economics and Econometrics, Universiteit van Amsterdam, Roetersstraat 11, NL - 1018 WB Amsterdam, The Netherlands
Phone: + 31 20 525 52 58
Fax: + 31 20 525 52 83
Email:
Web page: http://www.fee.uva.nl/cendef/
More information through EDIRC

Related research

Keywords:

Other versions of this item:

Find related papers by JEL classification:

References

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.:
as in new window
  1. Benhabib, Jess & Radner, Roy, 1992. "The Joint Exploitation of a Productive Asset: A Game-Theoretic Approach," Economic Theory, Springer, vol. 2(2), pages 155-90, April.
  2. Dockner, Engelbert J. & Van Long, Ngo & Sorger, Gerhard, 1996. "Analysis of Nash equilibria in a class of capital accumulation games," Journal of Economic Dynamics and Control, Elsevier, vol. 20(6-7), pages 1209-1235.
  3. Leslie M. Marx & Steven A. Matthews, . ""Dynamic Voluntary Contribution to a Public Project''," CARESS Working Papres 99-01, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
  4. Wirl, Franz, 1996. "Dynamic voluntary provision of public goods: Extension to nonlinear strategies," European Journal of Political Economy, Elsevier, vol. 12(3), pages 555-560, November.
  5. Mäler, K-G. & Xepapadeas, A. & Zeeuw, A.J. de, 2000. "The Economics of Shallow Lakes," Discussion Paper 2000-69, Tilburg University, Center for Economic Research.
  6. Kossioris, G. & Plexousakis, M. & Xepapadeas, A. & Zeeuw, A.J. de & Mäler, K-G., 2008. "Feedback Nash equilibria for non-linear differential games in pollution control," Open Access publications from Tilburg University urn:nbn:nl:ui:12-378255, Tilburg University.
  7. Brock,W.A. & Starrett,D., 2000. "Nonconvexities in ecological management problems," Working papers 26, Wisconsin Madison - Social Systems.
  8. Fershtman, Chaim & Nitzan, Shmuel, 1991. "Dynamic voluntary provision of public goods," European Economic Review, Elsevier, vol. 35(5), pages 1057-1067, July.
  9. Benchekroun, Hassan, 2003. "Unilateral production restrictions in a dynamic duopoly," Journal of Economic Theory, Elsevier, vol. 111(2), pages 214-239, August.
  10. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, October.
  11. Dutta Prajit K. & Sundaram Rangarajan K., 1993. "How Different Can Strategic Models Be?," Journal of Economic Theory, Elsevier, vol. 60(1), pages 42-61, June.
  12. Eswaran, Mukesh & Lewis, Tracy R, 1984. "Appropriability and the Extraction of a Common Property Resource," Economica, London School of Economics and Political Science, vol. 51(204), pages 393-400, November.
  13. Dechert,W.D. & Brock,W.A., 2003. "The lake game," Working papers 24, Wisconsin Madison - Social Systems.
  14. Sundaram, Rangarajan K., 1989. "Perfect equilibrium in non-randomized strategies in a class of symmetric dynamic games," Journal of Economic Theory, Elsevier, vol. 47(1), pages 153-177, February.
  15. Wagener, F. O. O., 2003. "Skiba points and heteroclinic bifurcations, with applications to the shallow lake system," Journal of Economic Dynamics and Control, Elsevier, vol. 27(9), pages 1533-1561, July.
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 in new window

Cited by:
  1. Salerno, Gillian & Beard, Rodney & McDonald, Stuart, 2007. "Rent Seeking Behavior and Optimal Taxation of Pollution in Shallow Lakes," MPRA Paper 11225, University Library of Munich, Germany, revised 22 Oct 2008.
  2. Kossioris, G. & Plexousakis, M. & Xepapadeas, A. & Zeeuw, A.J. de & Mäler, K-G., 2008. "Feedback Nash equilibria for non-linear differential games in pollution control," Open Access publications from Tilburg University urn:nbn:nl:ui:12-378255, Tilburg University.
  3. Halkos, George & Papageorgiou, George, 2008. "Extraction of non-renewable resources: a differential game approach," MPRA Paper 37596, University Library of Munich, Germany.
  4. Wirl, Franz, 2007. "Do multiple Nash equilibria in Markov strategies mitigate the tragedy of the commons?," Journal of Economic Dynamics and Control, Elsevier, vol. 31(11), pages 3723-3740, November.

Lists

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

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:ams:ndfwpp:06-07. 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: (Cees C.G. Diks).

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.