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

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  • BENCHEKROUN, Hassan
  • WITHAGEN, Cees

Abstract

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.

Suggested Citation

  • BENCHEKROUN, Hassan & WITHAGEN, Cees, 2010. "On Price Taking Behavior in a Nonrenewable Resource Cartel-Fringe Game," Cahiers de recherche 11-2010, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  • Handle: RePEc:mtl:montec:11-2010
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Kristine Grimsrud, Knut Einar Rosendahl, Halvor B. Storrøsten, and Marina Tsygankova, 2016. "Short Run Effects of Bleaker Prospects for Oligopolistic Producers of a Non-renewable Resource," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3).
    2. Wan, Rui & Boyce, John R., 2014. "Non-renewable resource Stackelberg games," Resource and Energy Economics, Elsevier, vol. 37(C), pages 102-121.
    3. Kicsiny, R. & Varga, Z. & Scarelli, A., 2014. "Backward induction algorithm for a class of closed-loop Stackelberg games," European Journal of Operational Research, Elsevier, vol. 237(3), pages 1021-1036.
    4. Hassan Benchekroun & Gerard (G.C.) van der Meijden & Cees Withagen, 2017. "OPEC, Shale Oil, and Global Warming - On the importance of the order of extraction," Tinbergen Institute Discussion Papers 17-104/VIII, Tinbergen Institute.
    5. Ngo Long, 2015. "Dynamic Games Between Firms and Infinitely Lived Consumers: A Review of the Literature," Dynamic Games and Applications, Springer, vol. 5(4), pages 467-492, December.
    6. repec:eee:quaeco:v:67:y:2018:i:c:p:1-7 is not listed on IDEAS

    More about this item

    Keywords

    cartel-fringe; dominant firm versus fringe; price taking; nonrenewable resources; dynamic games; open-loop versus closed-loop strategies;

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • Q30 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - General
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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