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On nonrenewable resource oligopolies: The asymmetric case

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  • Benchekroun, Hassan
  • Halsema, Alex
  • Withagen, Cees

Abstract

We give a full characterization of the open-loop Nash equilibrium of a nonrenewable resource game between two types of firms differing in extraction costs. We show that (i) there almost always exists a phase where both types of firms supply simultaneously, (ii) when the high cost mines are exploited by a number of firms that goes to infinity the equilibrium approaches the cartel-versus-fringe equilibrium with the fringe firms acting as price takers, and (iii) the cheaper resource may not be exhausted first, a violation of the Herfindahl rule, that may be detrimental to social welfare.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:dyncon:v:33:y:2009:i:11:p:1867-1879
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    1. 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.
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    5. Gérard Gaudet & Pierre Lasserre, 2011. "The Efficient Use Of Multiple Sources Of A Nonrenewable Resource Under Supply Cost Uncertainty," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(1), pages 245-258, February.
    6. Chakravorty, Ujjayant & Krulce, Darrell L, 1994. "Heterogeneous Demand and Order of Resource Extraction," Econometrica, Econometric Society, vol. 62(6), pages 1445-1452, November.
    7. 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.
    8. 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.
    9. Amigues, Jean-Pierre & Favard, Pascal & Gaudet, Gerard & Moreaux, Michel, 1998. "On the Optimal Order of Natural Resource Use When the Capacity of the Inexhaustible Substitute Is Limited," Journal of Economic Theory, Elsevier, vol. 80(1), pages 153-170, May.
    10. Tracy R. Lewis & Richard Schmalensee, 1980. "On Oligopolistic Markets for Nonrenewable Natural Resources," The Quarterly Journal of Economics, Oxford University Press, vol. 95(3), pages 475-491.
    11. 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 645-658, November.
    12. Newbery, David M G, 1981. "Oil Prices, Cartels, and the Problem of Dynamic Inconsistency," Economic Journal, Royal Economic Society, vol. 91(363), pages 617-646, September.
    13. 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 1079-1093, October.
    14. Gerard Gaudet & Michel Moreaux & Stephen W. Salant, 2001. "Intertemporal Depletion of Resource Sites by Spatially Distributed Users," American Economic Review, American Economic Association, vol. 91(4), pages 1149-1159, September.
    15. 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.
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    Citations

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    Cited by:

    1. Van Long, Ngo & McWhinnie, Stephanie F., 2012. "The tragedy of the commons in a fishery when relative performance matters," Ecological Economics, Elsevier, vol. 81(C), pages 140-154.
    2. Okullo, Samuel & Reynes, F. & Hofkes, M., 2016. "Biofuel Mandating and the Green Paradox," Discussion Paper 2016-024, Tilburg University, Center for Economic Research.
    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. Hassan Benchekroun & Gerard C. van der Meijden & Cees A. Withagen, 2017. "OPEC, Shale Oil, and Global Warming - On the Importance of the Order of Extraction," CESifo Working Paper Series 6746, CESifo Group Munich.
    5. Mark Kagan & Frederick Ploeg & Cees Withagen, 2015. "Battle for Climate and Scarcity Rents: Beyond the Linear-Quadratic Case," Dynamic Games and Applications, Springer, vol. 5(4), pages 493-522, December.
    6. 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.
    7. Berk, Istemi, 2015. "Two-Period Resource Duopoly with Endogenous Intertemporal Capacity Constraints," EWI Working Papers 2014-13, Energiewirtschaftliches Institut an der Universitaet zu Koeln (EWI).
    8. 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.
    9. 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.
    10. Benchekroun, Hassan & Halsema, Alex & Withagen, Cees, 2010. "When additional resource stocks reduce welfare," Journal of Environmental Economics and Management, Elsevier, vol. 59(1), pages 109-114, January.
    11. Zili Yang, 2013. "Is the Leading Role Desirable?: A Simulation Analysis of the Stackelberg Behavior in World Petroleum Market," Computational Economics, Springer;Society for Computational Economics, vol. 42(1), pages 133-150, June.
    12. Wan, Rui & Boyce, John R., 2014. "Non-renewable resource Stackelberg games," Resource and Energy Economics, Elsevier, vol. 37(C), pages 102-121.
    13. Smulders, Sjak & Withagen, Cees, 2012. "Green growth -- lessons from growth theory," Policy Research Working Paper Series 6230, The World Bank.
    14. Okullo, Samuel J. & Reynès, Frédéric, 2016. "Imperfect cartelization in OPEC," Energy Economics, Elsevier, vol. 60(C), pages 333-344.
    15. 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.

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