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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. 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.
  2. R. Quentin Grafton & Tom Kompas & Ngo Van Long, 2010. "Biofuels Subsidies and the Green Paradox," CESifo Working Paper Series 2960, CESifo Group Munich.
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  5. 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.
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  11. 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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  16. BENCHEKROUN, Hassan & HALSEMA, Alex & WITHAGEN, Cees, 2008. "On Nonrenewable Resource Oligopolies : The Asymmetric Case," Cahiers de recherche 13-2008, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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