IDEAS home Printed from https://ideas.repec.org/p/oxf/oxcrwp/080.html
   My bibliography  Save this paper

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

Author

Listed:
  • Hassan Benchekroun
  • Cees Withagen

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 .rms can use closed-loop strategies.

Suggested Citation

  • Hassan Benchekroun & Cees Withagen, 2011. "On Price Taking Behavior in a Nonrenewable Resrouce Cartel-Fringe Game," OxCarre Working Papers 080, Oxford Centre for the Analysis of Resource Rich Economies, University of Oxford.
    • Handle: RePEc:oxf:oxcrwp:080
    as

    Download full text from publisher

    File URL: https://ora.ox.ac.uk/objects/uuid:c7d1bd2c-bcdd-4e1c-9caa-eb1f76e768bf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Drew Fudenberg & David K. Levine, 1988. "Open and Closed-Loop Equilibria in Dynamic Games With Many Players," Levine's Working Paper Archive 221, David K. Levine.
    4. Reyer Gerlagh, 2011. "Too Much Oil," CESifo Economic Studies, CESifo Group, vol. 57(1), pages 79-102, March.
    5. Mukesh Eswaran & Tracy Lewis, 1985. "Exhaustible Resources and Alternative Equilibrium Concepts," Canadian Journal of Economics, Canadian Economics Association, vol. 18(3), pages 459-473, August.
    6. 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.
    7. 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.
    8. 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.
    9. Hans-Werner Sinn, 2008. "Public policies against global warming: a supply side approach," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 15(4), pages 360-394, August.
    10. van der Ploeg, Frederick & Withagen, Cees, 2012. "Is there really a green paradox?," Journal of Environmental Economics and Management, Elsevier, vol. 64(3), pages 342-363.
    11. 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.
    12. Gaudet, Gerard & Moreaux, Michel & Salant, Stephen W., 2002. "Private Storage of Common Property," Journal of Environmental Economics and Management, Elsevier, vol. 43(2), pages 280-302, March.
    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. Drew Fudenberg & David K. Levine, 2008. "Open-Loop and Closed-Loop Equilibria in Dynamic Games with Many Players," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 3, pages 41-58, World Scientific Publishing Co. Pte. Ltd..
    15. 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.
    16. 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 161-173, February.
    17. Hartwick, John M. & Brolley, Michael, 2008. "The quadratic oil extraction oligopoly," Resource and Energy Economics, Elsevier, vol. 30(4), pages 568-577, December.
    18. Roberts, Kevin, 1980. "The limit points of monopolistic competition," Journal of Economic Theory, Elsevier, vol. 22(2), pages 256-278, April.
    19. Tracy R. Lewis & Richard Schmalensee, 1980. "On Oligopolistic Markets for Nonrenewable Natural Resources," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(3), pages 475-491.
    20. R. Quentin Grafton & Tom Kompas & Ngo Van Long, 2010. "Biofuels Subsidies and the Green Paradox," CESifo Working Paper Series 2960, CESifo.
    21. Stephen Polasky, 1990. "Exhaustible Resource Oligopoly: Open-Loop and Markov Perfect Equilibria," Boston College Working Papers in Economics 199, Boston College Department of Economics.
    22. Novshek, William & Sonnenschein, Hugo, 1980. "Small efficient scale as a foundation for Walrasian equilibrium," Journal of Economic Theory, Elsevier, vol. 22(2), pages 243-255, April.
    23. Ujjayant Chakravorty & Michel Moreaux & Mabel Tidball, 2008. "Ordering the Extraction of Polluting Nonrenewable Resources," American Economic Review, American Economic Association, vol. 98(3), pages 1128-1144, June.
    24. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    25. Michael Hoel, 2008. "Bush Meets Hotelling: Effects of Improved Renewable Energy Technology on Greenhouse Gas Emissions," CESifo Working Paper Series 2492, CESifo.
    26. Kemp, Murray C & Long, Ngo Van, 1980. "On Two Folk Theorems Concerning the Extraction of Exhaustible Resources," Econometrica, Econometric Society, vol. 48(3), pages 663-673, April.
    27. 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.
    28. 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, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Benchekroun, Hassan & van der Meijden, Gerard & Withagen, Cees, 2020. "OPEC, unconventional oil and climate change - On the importance of the order of extraction," Journal of Environmental Economics and Management, Elsevier, vol. 104(C).
    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. Kristine Grimsrud & Knut Einar Rosendahl & Halvor B. Storrøsten & Marina Tsygankova, 2016. "Short Run Effects of Bleaker Prospects for Oligopolistic Producers of a Non-renewable Resource," The Energy Journal, , vol. 37(3), pages 293-314, July.
    4. Wan, Rui & Boyce, John R., 2014. "Non-renewable resource Stackelberg games," Resource and Energy Economics, Elsevier, vol. 37(C), pages 102-121.
    5. 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.
    6. 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.
    7. Gerard Meijden & Cees Withagen & Hassan Benchekroun, 2022. "An Oligopoly-Fringe Model with HARA Preferences," Dynamic Games and Applications, Springer, vol. 12(3), pages 954-976, September.
    8. Benchekroun, Hassan & van der Meijden, Gerard & Withagen, Cees, 2019. "An oligopoly-fringe non-renewable resource game in the presence of a renewable substitute," Journal of Economic Dynamics and Control, Elsevier, vol. 105(C), pages 1-20.
    9. Katarzyna Kańska & Agnieszka Wiszniewska-Matyszkiel, 2022. "Dynamic Stackelberg duopoly with sticky prices and a myopic follower," Operational Research, Springer, vol. 22(4), pages 4221-4252, September.
    10. 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.
    11. van der Meijden, Gerard & Benchekroun, Hassan & van der Ploeg, Frederick & Withagen, Cees, 2023. "Do strong oligopolies reverse Green Paradox effects?," European Journal of Political Economy, Elsevier, vol. 79(C).
    12. Roos, Nicolas de & Smirnov, Vladimir, 2021. "Collusion, price dispersion, and fringe competition," European Economic Review, Elsevier, vol. 132(C).
    13. 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.
    14. Huang, Weihong & Zhang, Yang, 2018. "Technological gap and heterogeneous oligopoly," The Quarterly Review of Economics and Finance, Elsevier, vol. 67(C), pages 1-7.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Wan, Rui & Boyce, John R., 2014. "Non-renewable resource Stackelberg games," Resource and Energy Economics, Elsevier, vol. 37(C), pages 102-121.
    6. Benchekroun, Hassan & van der Meijden, Gerard & Withagen, Cees, 2020. "OPEC, unconventional oil and climate change - On the importance of the order of extraction," Journal of Environmental Economics and Management, Elsevier, vol. 104(C).
    7. Benchekroun, Hassan & van der Meijden, Gerard & Withagen, Cees, 2019. "An oligopoly-fringe non-renewable resource game in the presence of a renewable substitute," Journal of Economic Dynamics and Control, Elsevier, vol. 105(C), pages 1-20.
    8. 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.
    9. Boyce, John R. & Vojtassak, Lucia, 2008. "An 'oil'igopoly theory of exploration," Resource and Energy Economics, Elsevier, vol. 30(3), pages 428-454, August.
    10. 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.
    11. 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).
    12. Jaakkola, Niko, 2019. "Carbon taxation, OPEC and the end of oil," Journal of Environmental Economics and Management, Elsevier, vol. 94(C), pages 101-117.
    13. van der Ploeg, Frederick & Withagen, Cees, 2012. "Too much coal, too little oil," Journal of Public Economics, Elsevier, vol. 96(1), pages 62-77.
    14. Frederick Van der Ploeg & Cees A. Withagen, 2011. "Too Little Oil, Too Much Coal: Optimal Carbon Tax and when to Phase in Oil, Coal and Renewables," CESifo Working Paper Series 3526, CESifo.
    15. Okullo, Samuel J. & Reynès, Frédéric, 2016. "Imperfect cartelization in OPEC," Energy Economics, Elsevier, vol. 60(C), pages 333-344.
    16. 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.
    17. Berthod, Mathias & Benchekroun, Hassan, 2019. "On agreements in a nonrenewable resource market: A cooperative differential game approach," Journal of Economic Dynamics and Control, Elsevier, vol. 98(C), pages 23-39.
    18. 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.
    19. van der Ploeg, Frederick & Withagen, Cees, 2012. "Is there really a green paradox?," Journal of Environmental Economics and Management, Elsevier, vol. 64(3), pages 342-363.
    20. 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.

    More about this item

    Keywords

    cartel-fringe; dominant Â…rm versus fringe; price taking; nonrenewable resources; dynamic games; open-loop versus closed-loop strategies;
    All these keywords.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:oxf:oxcrwp:080. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Melis Boya (email available below). General contact details of provider: https://edirc.repec.org/data/oxcaruk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.