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The Double Curse of a Common Property Productive Asset Oligopoly

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  • BENCHEKROUN, Hassan

Abstract

We build a subgame perfect Nash equilibrium of a common property productive asset oligopoly. We derive two surprising results. First, the steady state level of asset can be a decreasing function of the asset’s implicit growth rate. This phenomenon arises when the initial stock of asset is below a certain threshold. It represents a double curse for a common property productive asset where the well-known tragedy of the commons due to a lack of property rights is exacerbated by an increase in the productivity of the asset. Second, we show that a reduction in the number of firms exploiting the asset can, in the short run, result in an increase of the industry’s exploitation and a decrease of the level of the asset’s stock.

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Bibliographic Info

Paper provided by Centre interuniversitaire de recherche en économie quantitative, CIREQ in its series Cahiers de recherche with number 02-2005.

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Length: 31 pages
Date of creation: 2005
Date of revision:
Handle: RePEc:mtl:montec:02-2005

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Keywords: productive asset; oligopoly; tragedy of the commons; dynamic games;

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References

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  1. Amir, Rabah & Lambson, Val E, 2000. "On the Effects of Entry in Cournot Markets," Review of Economic Studies, Wiley Blackwell, vol. 67(2), pages 235-54, April.
  2. Philip R. Lane & Aaron Tornell, 1999. "The Voracity Effect," American Economic Review, American Economic Association, vol. 89(1), pages 22-46, March.
  3. Dutta Prajit K. & Sundaram Rangarajan K., 1993. "How Different Can Strategic Models Be?," Journal of Economic Theory, Elsevier, vol. 60(1), pages 42-61, June.
  4. Benhabib, Jess & Radner, Roy, 1992. "The Joint Exploitation of a Productive Asset: A Game-Theoretic Approach," Economic Theory, Springer, vol. 2(2), pages 155-90, April.
  5. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329.
  6. Salant, Stephen W & Switzer, Sheldon & Reynolds, Robert J, 1983. "Losses from Horizontal Merger: The Effects of an Exogenous Change in Industry Structure on Cournot-Nash Equilibrium," The Quarterly Journal of Economics, MIT Press, vol. 98(2), pages 185-99, May.
  7. Dutta, Prajit K & Sundaram, Rangarajan K, 1993. "The Tragedy of the Commons?," Economic Theory, Springer, vol. 3(3), pages 413-26, July.
  8. Wirl, Franz & Feichtinger, Gustav, 2005. "History dependence in concave economies," Journal of Economic Behavior & Organization, Elsevier, vol. 57(4), pages 390-407, August.
  9. Dockner, Engelbert J. & Sorger, Gerhard, 1996. "Existence and Properties of Equilibria for a Dynamic Game on Productive Assets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 209-227, October.
  10. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-39, May.
  11. Gaudet, Gerard & Salant, Stephen W, 1991. "Increasing the Profits of a Subset of Firms in Oligopoly Models with Strategic Substitutes," American Economic Review, American Economic Association, vol. 81(3), pages 658-65, June.
  12. Benchekroun, Hassan, 2003. "Unilateral production restrictions in a dynamic duopoly," Journal of Economic Theory, Elsevier, vol. 111(2), pages 214-239, August.
  13. Lane, Philip R & Tornell, Aaron, 1996. " Power, Growth, and the Voracity Effect," Journal of Economic Growth, Springer, vol. 1(2), pages 213-41, June.
  14. Fershtman, Chaim & Kamien, Morton I, 1987. "Dynamic Duopolistic Competition with Sticky Prices," Econometrica, Econometric Society, vol. 55(5), pages 1151-64, September.
  15. Dechert, W. Davis & Nishimura, Kazuo, 1983. "A complete characterization of optimal growth paths in an aggregated model with a non-concave production function," Journal of Economic Theory, Elsevier, vol. 31(2), pages 332-354, December.
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Cited by:
  1. Luca Lambertini & Andrea Mantovani, 2013. "Feedback Equilibria in a Dynamic Renewable Resource Oligopoly: Pre-Emption, Voracity and Exhaustion," Working Paper Series 56_13, The Rimini Centre for Economic Analysis.
  2. Fujiwara, Kenji, 2011. "Losses from competition in a dynamic game model of a renewable resource oligopoly," Resource and Energy Economics, Elsevier, vol. 33(1), pages 1-11, January.
  3. Colombo, Luca & Labrecciosa, Paola, 2013. "On the convergence to the Cournot equilibrium in a productive asset oligopoly," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 441-445.
  4. Colombo, Luca & Labrecciosa, Paola, 2013. "Oligopoly exploitation of a private property productive asset," Journal of Economic Dynamics and Control, Elsevier, vol. 37(4), pages 838-853.
  5. Dina Tasneem & Jim Engle-Warnick & Hassan Benchekroun, 2014. "An Experimental Study of a Common Property Renewable Resource Game in Continuous Time," CIRANO Working Papers 2014s-09, CIRANO.
  6. Ngo Long, 2011. "Dynamic Games in the Economics of Natural Resources: A Survey," Dynamic Games and Applications, Springer, vol. 1(1), pages 115-148, March.
  7. Fujiwara, Kenji, 2008. "Duopoly can be more anti-competitive than monopoly," Economics Letters, Elsevier, vol. 101(3), pages 217-219, December.

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