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Nonrenewable Resource Oligopolies and the Cartel-Fringe Game

  • BENCHEKROUN, Hassan
  • WITHAGEN, Cees

We specify and solve a closed-loop dominant firm nonrenewable resource game, with a price-taking fringe. We show that (i) the outcomes of the closed-loop and the open-loop dominant firm nonrenewable resource game (à la Salant 1976) coincide and (ii) when the number of fringe firms becomes arbitrarily large, the equilibrium outcome of the closed-loop oligopoly game does not coincide with the equilibrium outcome of the closed-loop dominant firm nonrenewable resource game. Thus, the interpretation of the dominant firm model, where the fringe is assumed from the outset to be price-taker, as a limit case of an asymmetric oligopoly where the number of fringe firms tends to inifinity, does not extend to the case where firms can use closed-loop strategies.

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Paper provided by Centre interuniversitaire de recherche en économie quantitative, CIREQ in its series Cahiers de recherche with number 14-2008.

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Length: 33 pages
Date of creation: 2008
Date of revision:
Handle: RePEc:mtl:montec:14-2008
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  1. 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, November.
  2. John Hartwick, 2006. "The Quadratic Oil Extraction Oligopoly," Working Papers 1095, Queen's University, Department of Economics.
  3. Novshek, William & Sonnenschein, Hugo, 1980. "Small efficient scale as a foundation for Walrasian equilibrium," Journal of Economic Theory, Elsevier, vol. 22(2), pages 243-255, April.
  4. Drew Fudenberg & David K. Levine, 1988. "Open and Closed-Loop Equilibria in Dynamic Games With Many Players," Levine's Working Paper Archive 221, David K. Levine.
  5. Ujjayant Chakravorty & Michel Moreaux & Mabel Tidball, 2008. "Ordering the Extraction of Polluting Nonrenewable Resources," American Economic Review, American Economic Association, vol. 98(3), pages 1128-44, June.
  6. Mukesh Eswaran & Tracy Lewis, 1985. "Exhaustible Resources and Alternative Equilibrium Concepts," Canadian Journal of Economics, Canadian Economics Association, vol. 18(3), pages 459-73, August.
  7. Newbery, David M G, 1981. "Oil Prices, Cartels, and the Problem of Dynamic Inconsistency," Economic Journal, Royal Economic Society, vol. 91(363), pages 617-46, September.
  8. Reinganum, Jennifer F & Stokey, Nancy L, 1985. "Oligopoly Extraction of a Common Property Natural Resource: The Importance of the Period of Commitment in Dynamic Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(1), pages 161-73, February.
  9. A. M. Ulph & G. M. Folie, 1980. "Exhaustible Resources and Cartels: An Intertemporal Nash-Cournot Model," Canadian Journal of Economics, Canadian Economics Association, vol. 13(4), pages 645-58, November.
  10. Groot, Fons & Withagen, Cees & de Zeeuw, Aart, 1992. "Note on the Open-Loop von Stackelberg Equilibrium in the Cartel versus Fringe Model," Economic Journal, Royal Economic Society, vol. 102(415), pages 1478-84, November.
  11. R. Quentin Grafton & Tom Kompas & Ngo Van Long, 2010. "Biofuels Subsidies and the Green Paradox," CESifo Working Paper Series 2960, CESifo Group Munich.
  12. Roberts, Kevin, 1980. "The limit points of monopolistic competition," Journal of Economic Theory, Elsevier, vol. 22(2), pages 256-278, April.
  13. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, May.
  14. Groot, Fons & Withagen, Cees & de Zeeuw, Aart, 2003. "Strong time-consistency in the cartel-versus-fringe model," Journal of Economic Dynamics and Control, Elsevier, vol. 28(2), pages 287-306, November.
  15. Benchekroun, Hassan & Halsema, Alex & Withagen, Cees, 2009. "On nonrenewable resource oligopolies: The asymmetric case," Journal of Economic Dynamics and Control, Elsevier, vol. 33(11), pages 1867-1879, November.
  16. Michael Hoel, 2009. "Bush Meets Hotelling: Effects of Improved Renewable Energy Technology on Greenhouse Gas Emissions," Working Papers 2009.1, Fondazione Eni Enrico Mattei.
  17. Kemp, Murray C & Long, Ngo Van, 1980. "On Two Folk Theorems Concerning the Extraction of Exhaustible Resources," Econometrica, Econometric Society, vol. 48(3), pages 663-73, April.
  18. Lewis, Tracy R. & Schmalensee, Richard., 1979. "On oligopolistic markets for nonrenewable natural resources," Working papers 1052-79., Massachusetts Institute of Technology (MIT), Sloan School of Management.
  19. Frederick Van der Ploeg & Cees A. Withagen, 2010. "Is There Really a Green Paradox?," CESifo Working Paper Series 2963, CESifo Group Munich.
  20. Salant, Stephen W, 1976. "Exhaustible Resources and Industrial Structure: A Nash-Cournot Approach to the World Oil Market," Journal of Political Economy, University of Chicago Press, vol. 84(5), pages 1079-93, October.
  21. Fudenberg, Drew & Levine, David K., 1988. "Open-loop and closed-loop equilibria in dynamic games with many players," Journal of Economic Theory, Elsevier, vol. 44(1), pages 1-18, February.
  22. Loury, Glenn C, 1986. "A Theory of 'Oil'igopoly: Cournot Equilibrium in Exhaustible Resource Markets with Fixed Supplies," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(2), pages 285-301, June.
  23. Hans-Werner Sinn, 2008. "Public policies against global warming: a supply side approach," International Tax and Public Finance, Springer, vol. 15(4), pages 360-394, August.
  24. Richard J. Gilbert, 1978. "Dominant Firm Pricing Policy in a Market for an Exhaustible Resource," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 385-395, Autumn.
  25. Salo, Seppo & Tahvonen, Olli, 2001. "Oligopoly equilibria in nonrenewable resource markets," Journal of Economic Dynamics and Control, Elsevier, vol. 25(5), pages 671-702, May.
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