Markov–Perfect Nash Equilibria in Models With a Single Capital Stock (Revised version, March 2013)
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 as well as sufficient conditions that allow us to characterise Markov-perfect Nash equilibria for these games. These conditions can be translated into an auxiliary system of ordinary differential equations that helps us to explore stability, continuity and differentiability of these equilibria. The techniques are used to derive detailed properties of Markov-perfect Nash equilibria for several games including voluntary investment in a public capital stock, the inter-temporal consumption of a reproductive asset, and the pollution of a shallow lake.
|Date of creation:||2013|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: + 31 20 525 52 58
Fax: + 31 20 525 52 83
Web page: http://www.fee.uva.nl/cendef/
More information through EDIRC
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.:
- Colin Rowat, 2005.
"Non-Linear Strategies in a Linear Quadratic Differential Game,"
05-05, Department of Economics, University of Birmingham.
- Rowat, Colin, 2007. "Non-linear strategies in a linear quadratic differential game," Journal of Economic Dynamics and Control, Elsevier, vol. 31(10), pages 3179-3202, October.
- Colin Rowat, 2005. "Non-linear strategies in a linear quadratic differential game," GE, Growth, Math methods 0502001, EconWPA.
- Van Der Ploeg, F. & De Zeeuw, A.J., 1990.
"International Aspects Of Pollution Control,"
9065, Tilburg - Center for Economic Research.
When requesting a correction, please mention this item's handle: RePEc:ams:ndfwpp:13-03. 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 references are entirely missing, you can add them using this form.