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Note on the Open-Loop von Stackelberg Equilibrium in the Cartel versus Fringe Model

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  • Groot, Fons
  • Withagen, Cees
  • de Zeeuw, Aart

Abstract

One of the ways to model the supply side of the world oil market is by means of the cartel versus fringe model and to employ the open-loop von Stackelberg equilibrium concept. This note shows that the equilibrium as presented in the literature does not satisfy the optimality conditions for the open-loop equilibrium. The authors show, furthermore, that in contrast with the prevailing view, the equilibrium can display discontinuous price trajectories. Copyright 1992 by Royal Economic Society.

Suggested Citation

  • 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 1478-1484, November.
    • Handle: RePEc:ecj:econjl:v:102:y:1992:i:415:p:1478-84
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    Cited by:

    1. 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.
    2. Colombo, Luca & Labrecciosa, Paola, 2019. "Stackelberg versus Cournot: A differential game approach," Journal of Economic Dynamics and Control, Elsevier, vol. 101(C), pages 239-261.
    3. Benchekroun, Hassan & Withagen, Cees, 2012. "On price taking behavior in a nonrenewable resource cartel–fringe game," Games and Economic Behavior, Elsevier, vol. 76(2), pages 355-374.
    4. Wan, Rui & Boyce, John R., 2014. "Non-renewable resource Stackelberg games," Resource and Energy Economics, Elsevier, vol. 37(C), pages 102-121.
    5. Benchekroun, Hassan & Breton, Michèle & Chaudhuri, Amrita Ray, 2019. "Mergers in nonrenewable resource oligopolies and environmental policies," European Economic Review, Elsevier, vol. 111(C), pages 35-52.
    6. Benchekroun, Hassan & Gaudet, Gerard & Van Long, Ngo, 2006. "Temporary natural resource cartels," Journal of Environmental Economics and Management, Elsevier, vol. 52(3), pages 663-674, November.
    7. Cees Withagen, 1998. "Untested Hypotheses in Non-Renewable Resource Economics," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 11(3), pages 623-634, April.
    8. Hassan Benchekroun & Cees Withagen, 2008. "Nonrenewable Resource Oligopolies And The Cartel-Fringe Game," Departmental Working Papers 2008-02, McGill University, Department of Economics.
    9. Karp, Larry S. & Tahvonen, Olli, 1995. "International Trade in Exhaustible Resources: A Cartel-Competitive Fringe Model," CUDARE Working Papers 6303, University of California, Berkeley, Department of Agricultural and Resource Economics.
    10. Colombo, Luca & Labrecciosa, Paola, 2018. "Consumer surplus-enhancing cooperation in a natural resource oligopoly," Journal of Environmental Economics and Management, Elsevier, vol. 92(C), pages 185-193.
    11. van der Meijden, Gerard & Withagen, Cees, 2019. "Limit pricing, climate policies, and imperfect substitution," Resource and Energy Economics, Elsevier, vol. 58(C).
    12. Olli Tahvonen, 1995. "International CO 2 taxation and the dynamics of fossil fuel markets," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 2(2), pages 261-278, August.
    13. Boyce, John R. & Vojtassak, Lucia, 2008. "An 'oil'igopoly theory of exploration," Resource and Energy Economics, Elsevier, vol. 30(3), pages 428-454, August.
    14. Groot, Fons & Withagen, Cees & de Zeeuw, Aart, 2000. "Open-loop von Stackelberg equilibrium in the cartel-vs.-fringe model," Energy Economics, Elsevier, vol. 22(2), pages 209-223, April.
    15. Eijffinger, S.C.W., 1993. "Central bank independence in twelve industrial countries," Other publications TiSEM 0401b17a-e2c7-4179-ace9-a, Tilburg University, School of Economics and Management.
    16. 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.
    17. 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.
    18. Verbeek, M.J.C.M. & Nijman, T.E., 1994. "Minimum MSE estimation of a regression model with fixed effects from a series of cross-sections," Other publications TiSEM 702ff7bc-dfba-4834-8d71-f, Tilburg University, School of Economics and Management.
    19. Gérard Gaudet, 2007. "Natural resource economics under the rule of Hotelling," Canadian Journal of Economics, Canadian Economics Association, vol. 40(4), pages 1033-1059, November.
    20. Behnaz Minooei Fard & Willi Semmler & Giovanni Di Bartolomeo, 2023. "Rare Earth Elements: A game between China and the rest of the world," Working Papers in Public Economics 235, University of Rome La Sapienza, Department of Economics and Law.
    21. Wang, Min & Zhao, Jinhua, 2013. "Monopoly extraction of a nonrenewable resource facing capacity constrained renewable competition," Economics Letters, Elsevier, vol. 120(3), pages 503-508.

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