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On Price Taking Behavior in a Nonrenewable Resource Cartel-Fringe Game

  • BENCHEKROUN, Hassan
  • WITHAGEN, Cees

We consider a nonrenewable resource game with one cartel and a set of fringe members. We show that (i) the outcomes of the closed-loop and the open-loop nonrenewable resource game with the fringe members as price takers (the cartel-fringe game à la Salant 1976) coincide and (ii) when the number of fringe firms becomes arbitrarily large, the equilibrium outcome of the closed-loop Nash game does not coincide with the equilibrium outcome of the closed-loop cartel-fringe game. Thus, the outcome of the cartel-fringe open-loop equilibrium can be supported as an outcome of a subgame perfect equilibrium. However the interpretation of the cartel-fringe model, where from the outset the fringe is assumed to be price-taker, as a limit case of an asymmetric oligopoly with the agents playing Nash-Cournot, 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 11-2010.

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Length: 38 pages
Date of creation: 2010
Date of revision:
Handle: RePEc:mtl:montec:11-2010
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  1. 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.
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  10. 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.
  11. Groot, F. & Withagen, C.A.A.M. & de Zeeuw, A.J., 2003. "Strong time-consistency in the cartel-versus-fringe model," Other publications TiSEM 5ba46a2e-d763-4a8c-939b-3, Tilburg University, School of Economics and Management.
  12. Rick van der Ploeg & Cees Withagen, 2010. "Is There Really a Green Paradox?," OxCarre Working Papers 035, Oxford Centre for the Analysis of Resource Rich Economies, University of Oxford.
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  22. Sinn, Hans-Werner, 2008. "Public policies against global warming: A supply side approach," Munich Reprints in Economics 19638, University of Munich, Department of Economics.
  23. 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.
  24. 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.
  25. 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.
  26. 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.
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