Long run equilibria in an asymmetric oligopoly
AbstractConsider an oligopolistic industry composed of two groups (or populations) of firms, the low cost firms and the high cost firms. The firms produce a homogeneous good. I study the finite population evolutionarily stable strategy defined by Schaffer (1988), and the long run equilibrium in the stochastic evolutionary dynamics based on imitation and experimentation of strategies by firms in each group. I will show the following results. 1) The finite population evolutionarily stable strategy (ESS) output is equal to the competitive (or Walrasian) output in each group of the firms. 2) Under the assumption that the marginal cost is increasing, the ESS state is the long run equilibrium in the stochastic evolutionary dynamics in the limit as the output grid step, which will be defined in the paper, approaches to zero.
Download InfoIf 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.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Springer in its journal Economic Theory.
Volume (Year): 14 (1999)
Issue (Month): 3 ()
Note: Received: September 19, 1997; revised: June 18, 1998
Contact details of provider:
Web page: http://link.springer.de/link/service/journals/00199/index.htm
Find related papers by JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Tanaka, Yasuhito, 2000. "Stochastically stable states in an oligopoly with differentiated goods: equivalence of price and quantity strategies," Journal of Mathematical Economics, Elsevier, vol. 34(2), pages 235-253, October.
- Apesteguia, Jose & Huck, Steffen & Oechssler, Jörg & Weidenholzer, Simon, 2007.
"Imitation and the Evolution of Walrasian Behavior: Theoretically Fragile but Behaviorally Robust,"
Sonderforschungsbereich 504 Publications
07-69, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
- Apesteguia, Jose & Huck, Steffen & Oechssler, Jörg & Weidenholzer, Simon, 2010. "Imitation and the evolution of Walrasian behavior: Theoretically fragile but behaviorally robust," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1603-1617, September.
- Jose Apesteguia & Steffen Huck & Jörg Oechssler & Simon Weidenholzer, 2007. "Imitation and the Evolution of Walrasian Behavior: Theoretically Fragile but Behaviorally Robust," Working Papers 0461, University of Heidelberg, Department of Economics, revised Nov 2007.
- Jose Apesteguia & Steffen Huck & Jörg Oechssler & Simon Weidenholzer, 2008. "Imitation and the Evolution of Walrasian Behavior: Theoretically Fragile but Behaviorally Robust," CESifo Working Paper Series 2224, CESifo Group Munich.
- Alos-Ferrer, Carlos, 2004.
"Cournot versus Walras in dynamic oligopolies with memory,"
International Journal of Industrial Organization,
Elsevier, vol. 22(2), pages 193-217, February.
- Carlos Alós-Ferrer, 2001. "Cournot versus Walras in Dynamic Oligopolies with Memory," Vienna Economics Papers 0110, University of Vienna, Department of Economics.
- Huang, Weihong, 2011.
"Price-taking behavior versus continuous dynamic optimizing,"
Journal of Economic Behavior & Organization,
Elsevier, vol. 78(1), pages 37-50.
- Huang, Weihong, 2011. "Price-taking behavior versus continuous dynamic optimizing," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1-2), pages 37-50, April.
- Peter Duersch & Albert Kolb & Jörg Oechssler & Burkhard Schipper, 2010. "Rage against the machines: how subjects play against learning algorithms," Economic Theory, Springer, vol. 43(3), pages 407-430, June.
- Tanaka, Yasuhito, 2001. "Evolution to equilibrium in an asymmetric oligopoly with differentiated goods," International Journal of Industrial Organization, Elsevier, vol. 19(9), pages 1423-1440, November.
- Fernando Vega-Redondo, 1999. "Markets under bounded rationality: from theory to facts," Investigaciones Economicas, Fundación SEPI, vol. 23(1), pages 3-26, January.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Guenther Eichhorn) or (Christopher F Baum).
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.