Price-taking Strategy Versus Dynamic Programming in Oligopoly
In a quantity-competed duopoly, one firm is a naive price-taker (who responses only to the last period’s price) while the other has all the market information so as be able to optimize its profit stream (either discounted or un-discounted) dynamically over a finite or infinite horizon. With a traditional linear economy, we are able to derive algebraically the optimal policies of all periods for the dynamic optimizer. A counter-intuitive phenomenon is then observed: regardless of the planning horizon and the discounted factor, there exists a relative profitability range of initial prices, starting with which the price-taker make higher profit than the dynamic optimizer. Furthermore, with the increase in the planning horizon, the price-taker’s relative profitability range increases accordingly and finally covers the entire economically meaningful range.
|Date of creation:||Apr 2009|
|Date of revision:|
|Contact details of provider:|| Postal: Nanyang Drive, Singapore 637332|
Fax: 6795 5797
Web page: http://egc.hss.ntu.edu.sg/
More information through EDIRC
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.:
- Haurie, A., 1976. "Optimal control on an infinite time horizon : The turnpike approach," Journal of Mathematical Economics, Elsevier, vol. 3(1), pages 81-102, March.
- Dana, Rose-Anne & Montrucchio, Luigi, 1986. "Dynamic complexity in duopoly games," Journal of Economic Theory, Elsevier, vol. 40(1), pages 40-56, October.
- Huang, Weihong, 2008. "The long-run benefits of chaos to oligopolistic firms," Journal of Economic Dynamics and Control, Elsevier, vol. 32(4), pages 1332-1355, April.
- J. W. Friedman, 1968. "Reaction Functions and the Theory of Duopoly," Review of Economic Studies, Oxford University Press, vol. 35(3), pages 257-272.
- R. M. Cyert & M. H. DeGroot, 1970. "Multiperiod Decision Models with Alternating Choice as a Solution to the Duopoly Problem," The Quarterly Journal of Economics, Oxford University Press, vol. 84(3), pages 410-429.
- Dana, Rose-Anne & Montrucchio, Luigi, 1987. "On rational dynamic strategies in infinite horizon models where agents discount the future," Journal of Economic Behavior & Organization, Elsevier, vol. 8(3), pages 497-511, September.
When requesting a correction, please mention this item's handle: RePEc:nan:wpaper:0904. 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: (Magdalene Lim)
If references are entirely missing, you can add them using this form.