Optimality of Impulse Harvesting Policies
We explore the link between cyclical and smooth resource exploitation. We define an impulse control framework which can generate both cyclical solutions and steady state solutions. For the cyclical solution, we establish a link with the discrete-time model by Dawid and Kopel (1997). For the steady state solution, we explore the relation to Clark's (1976) continuous control model. Our model can admit convex and concave profit functions and allows the integration of different stock dependent cost functions. We show that the strict convexity of the profit function is only a special case of a more general condition, related to submodularity, that ensures the existence of optimal cyclical policies.
(This abstract was borrowed from another version of this item.)
|Date of creation:||Apr 2010|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: (+33) 5 61 12 86 23
Web page: http://www.toulouse.inra.fr/lerna/
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.:
- Dawid, Herbert & Kopel, Michael, 1997. "On the Economically Optimal Exploitation of a Renewable Resource: The Case of a Convex Environment and a Convex Return Function," Journal of Economic Theory, Elsevier, vol. 76(2), pages 272-297, October.
- Rognvaldur Hannesson, 1975. "Fishery Dynamics: A North Atlantic Cod Fishery," Canadian Journal of Economics, Canadian Economics Association, vol. 8(2), pages 151-73, May.
- Nishimura, Kazuo & Sorger, Gerhard & Yano, Makoto, 1994. "Ergodic Chaos in Optimal Growth Models with Low Discount Rates," Economic Theory, Springer, vol. 4(5), pages 705-17, August.
- Spence, A Michael & Starrett, David, 1975. "Most Rapid Approach Paths in Accumulation Problems," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(2), pages 388-403, June.
- M. Liski, P.M. Kort, A.J. Novak, 2001.
"Increasing returns and cycles in fishing,"
Computing in Economics and Finance 2001
126, Society for Computational Economics.
- Liski, M. & Kort, P.M. & Novak, A.J., 2000. "Increasing Returns and Cycles in Fishing," Discussion Paper 2000-57, Tilburg University, Center for Economic Research.
- Kort, P.M. & Liski, M. & Novak, A.J., 2001. "Increasing returns and cycles in fishing," Other publications TiSEM 005cdced-611c-4158-a257-8, School of Economics and Management.
- Nishimura, Kazuo, 1985.
"Competitive equilibrium cycles,"
Journal of Economic Theory,
Elsevier, vol. 35(2), pages 284-306, August.
- Hartman, Richard, 1976. "The Harvesting Decision When a Standing Forest Has Value," Economic Inquiry, Western Economic Association International, vol. 14(1), pages 52-58, March.
- repec:ner:tilbur:urn:nbn:nl:ui:12-86776 is not listed on IDEAS
- Montrucchio, Luigi, 1995. "A New Turnpike Theorem for Discounted Programs," Economic Theory, Springer, vol. 5(3), pages 371-82, May.
- Akiomi Kitagawa & Akihisa Shibata, 2005. "Endogenous growth cycles in an overlapping generations model with investment gestation lags," Economic Theory, Springer, vol. 25(3), pages 751-762, 04.
- Majumdar, Mukul & Mitra, Tapan, 1994. "Periodic and Chaotic Programs of Optimal Intertemporal Allocation in an Aggregative Model with Wealth Effects," Economic Theory, Springer, vol. 4(5), pages 649-76, August.
- Berck, Peter, 1981. "Optimal management of renewable resources with growing demand and stock externalities," Journal of Environmental Economics and Management, Elsevier, vol. 8(2), pages 105-117, June.
- Michael Kopel & Herbert Dawid, 1999. "On optimal cycles in dynamic programming models with convex return function," Economic Theory, Springer, vol. 13(2), pages 309-327.
- Michael Kopel & Gustav Feichtinger & Herbert Dawid, 1997. "Complex solutions of nonconcave dynamic optimization models (*)," Economic Theory, Springer, vol. 9(3), pages 427-439.
- Wirl Franz, 1995. "The Cyclical Exploitation of Renewable Resource Stocks May Be Optimal," Journal of Environmental Economics and Management, Elsevier, vol. 29(2), pages 252-261, September.
- Tracy R. Lewis & Richard Schmalensee, 1979. "Non-convexity and Optimal Harvesting Strategies for Renewable Resources," Canadian Journal of Economics, Canadian Economics Association, vol. 12(4), pages 677-91, November.
When requesting a correction, please mention this item's handle: RePEc:ler:wpaper:10.09.315. 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: (Maxime MARTY)
If references are entirely missing, you can add them using this form.