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

A dynamic model of renewable resource harvesting with Bertrand competition

Contents:

Author Info

  • Beard, Rodney

Abstract

In this paper a dierential game model of renewable resource ex- ploitation is considered in which rms compete in exploiting a com- mon resource in a Bertrand price-setting game. The model character- izes a situation in which rms extract a common renewable resource which after harvesting may be considered a dierentiated product. Firms then choose prices rather than harvest quantities. Quantities extracted are determined by consumer demand. Optimal price and harvest policies are determined in a linear state dierential game for whichr open-loop and feedback strategies are known to be equuiva- lent. Furthermore, the case of search costs and capacity constraints is analysed and the role they play in determining the dynamics of the resource stock is considered. The results are compared to those of Cournot competition which has been analysed extensively in the literature. Previous studies of dierential games applied to renewable resource harvesting have concentrated on quantity competition (see for example [12]) and the case of price competition has been largely ignored. the exceptions to this have been in the more empirical litera- ture where evidence for price competition versus quantity competition for renewable resources such as sheries is mounting [1]. Consequently the results presented here are not only new, but possibly of greater empirical relevance than existing results on quantity competition.

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://mpra.ub.uni-muenchen.de/8916/
File Function: original version
Download Restriction: no

Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 8916.

as in new window
Length:
Date of creation: 29 May 2008
Date of revision:
Handle: RePEc:pra:mprapa:8916

Contact details of provider:
Postal: Schackstr. 4, D-80539 Munich, Germany
Phone: +49-(0)89-2180-2219
Fax: +49-(0)89-2180-3900
Web page: http://mpra.ub.uni-muenchen.de
More information through EDIRC

Related research

Keywords: linear-state differential game; Bertrand competition; renewable resources; fisheries;

Find related papers by JEL classification:

This paper has been announced in the following NEP Reports:

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. Hardle, Wolfgang & Kirman, Alan, 1995. "Nonclassical demand : A model-free examination of price-quantity relations in the Marseille fish market," Journal of Econometrics, Elsevier, Elsevier, vol. 67(1), pages 227-257, May.
  2. Weninger, Quinn, 1999. "Equilibrium Prices in a Vertically Coordinated Fishery," Journal of Environmental Economics and Management, Elsevier, vol. 37(3), pages 290-305, May.
  3. Gaudet, Gerard & Moreaux, Michel, 1990. "Price versus Quantity Rules in Dynamic Competition: The Case of Nonrenewable Natural Resources," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(3), pages 639-50, August.
  4. Arnold, Michael A, 2000. "Costly Search, Capacity Constraints, and Bertrand Equilibrium Price Dispersion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(1), pages 117-31, February.
  5. Kirman, Alan P. & Vriend, Nicolaas J., 2001. "Evolving market structure: An ACE model of price dispersion and loyalty," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 25(3-4), pages 459-502, March.
  6. Frank Jensen & Niels Vestergaard, 2003. "Prices versus Quantities in Fisheries Models," Land Economics, University of Wisconsin Press, vol. 79(3), pages 415-425.
  7. Sandal, Leif K. & Steinshamn, Stein I., 2004. "Dynamic Cournot-competitive harvesting of a common pool resource," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 28(9), pages 1781-1799, July.
  8. Martin-Herran, G. & Rincon-Zapatero, J.P., 2005. "Efficient Markov perfect Nash equilibria: theory and application to dynamic fishery games," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 29(6), pages 1073-1096, June.
  9. Spence, Michael, 1976. "Product Differentiation and Welfare," American Economic Review, American Economic Association, American Economic Association, vol. 66(2), pages 407-14, May.
  10. Cellini, Roberto & Lambertini, Luca, 1998. "A Dynamic Model of Differentiated Oligopoly with Capital Accumulation," Journal of Economic Theory, Elsevier, Elsevier, vol. 83(1), pages 145-155, November.
  11. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, Cambridge University Press, number 9780521637329.
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. Florian Diekert, 2012. "Growth Overfishing: The Race to Fish Extends to the Dimension of Size," Environmental & Resource Economics, European Association of Environmental and Resource Economists, European Association of Environmental and Resource Economists, vol. 52(4), pages 549-572, August.

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:pra:mprapa:8916. 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: (Ekkehart Schlicht).

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.