IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v98y2019icp23-39.html
   My bibliography  Save this article

On agreements in a nonrenewable resource market: A cooperative differential game approach

Author

Listed:
  • Berthod, Mathias
  • Benchekroun, Hassan

Abstract

We consider a nonrenewable resource duopoly with economic exhaustion. We characterize the set of Pareto efficient equilibria. We show that when firms are sufficiently patient, there exists no Pareto efficient agreement that yields short-run gains with respect to the noncooperative equilibrium. Given a pair of stocks, there exists a unique interior Pareto efficient agreement. We characterize the set of stocks where a Pareto efficient agreement results in larger discounted sum of profits for both players. We show that social welfare under the interior Pareto efficient agreement is smaller than under non-cooperation, despite the gains from a more cost effective extraction of the resources under an agreement.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:dyncon:v:98:y:2019:i:c:p:23-39
    DOI: 10.1016/j.jedc.2018.11.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S016518891830366X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jedc.2018.11.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Berg, Elin & Kverndokk, Snorre & Rosendahl, Knut Einar, 1998. "Gains from cartelisation in the oil market," Energy Policy, Elsevier, vol. 26(9), pages 725-727, August.
    2. Mason, Charles F. & Polasky, Stephen, 2005. "What motivates membership in non-renewable resource cartels?: The case of OPEC," Resource and Energy Economics, Elsevier, vol. 27(4), pages 321-342, November.
    3. Kemp, Murray C & Long, Ngo Van & Shimomura, Koji, 1993. "Cyclical and Noncyclical Redistributive Taxation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(2), pages 415-429, May.
    4. Engelbert Dockner & Gustav Feichtinger, 1991. "On the optimality of limit cycles in dynamic economic systems," Journal of Economics, Springer, vol. 53(1), pages 31-50, February.
    5. Halkin, Hubert, 1974. "Necessary Conditions for Optimal Control Problems with Infinite Horizons," Econometrica, Econometric Society, vol. 42(2), pages 267-272, March.
    6. Griffin, James M, 1985. "OPEC Behavior: A Test of Alternative Hypotheses," American Economic Review, American Economic Association, vol. 75(5), pages 954-963, December.
    7. Loderer, Claudio, 1985. "A Test of the OPEC Cartel Hypothesis: 1974-1983," Journal of Finance, American Finance Association, vol. 40(3), pages 991-1006, July.
    8. 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.
    9. Wiggins, Steven N & Libecap, Gary D, 1987. "Firm Heterogeneities and Cartelization Efforts in Domestic Crude Oil," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 3(1), pages 1-25, Spring.
    10. Teece, David J. & Sunding, David & Mosakowski, Elaine, 1993. "Natural resource cartels," Handbook of Natural Resource and Energy Economics, in: A. V. Kneese† & J. L. Sweeney (ed.), Handbook of Natural Resource and Energy Economics, edition 1, volume 3, chapter 24, pages 1131-1166, Elsevier.
    11. 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.
    12. HALKIN, Hubert, 1974. "Necessary conditions for optimal control problems with infinite horizons," LIDAM Reprints CORE 193, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    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. Hnyilicza, Esteban & Pindyck, Robert S., 1976. "Pricing policies for a two-part exhaustible resource cartel : The case of OPEC," European Economic Review, Elsevier, vol. 8(2), pages 139-154, August.
    15. 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.
    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. 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.
    18. Loutia, Amine & Mellios, Constantin & Andriosopoulos, Kostas, 2016. "Do OPEC announcements influence oil prices?," Energy Policy, Elsevier, vol. 90(C), pages 262-272.
    19. Ahmad Saleh Alsalem & Subhash C. Sharma & Marvin D. Troutt, 1997. "Fairness Measures and Importance Weights for Allocating Quotas to OPEC Member Countries," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2), pages 1-21.
    20. Golombek, Rolf & Irarrazabal, Alfonso A. & Ma, Lin, 2018. "OPEC's market power: An empirical dominant firm model for the oil market," Energy Economics, Elsevier, vol. 70(C), pages 98-115.
    21. 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.
    22. 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.
    23. Kisswani, Khalid M., 2016. "Does OPEC act as a cartel? Empirical investigation of coordination behavior," Energy Policy, Elsevier, vol. 97(C), pages 171-180.
    24. Okullo, Samuel & Reynes, F., 2016. "Imperfect Cartelization in OPEC," Other publications TiSEM 2cde72e6-5ed5-46d4-96ca-2, Tilburg University, School of Economics and Management.
    25. Griffin, James M & Xiong, Weiwen, 1997. "The Incentive to Cheat: An Empirical Analysis of OPEC," Journal of Law and Economics, University of Chicago Press, vol. 40(2), pages 289-316, October.
    26. 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.
    27. Okullo, Samuel J. & Reynès, Frédéric, 2016. "Imperfect cartelization in OPEC," Energy Economics, Elsevier, vol. 60(C), pages 333-344.
    28. Pindyck, Robert S, 1978. "Gains to Producers from the Cartelization of Exhaustible Resources," The Review of Economics and Statistics, MIT Press, vol. 60(2), pages 238-251, May.
    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. Yiwen Chen & Nora Paulus & Xi Wan & Benteng Zou, 2024. "To Deploy or Not to Deploy CCS Abatement, and When : A Differential Game Perspective," DEM Discussion Paper Series 24-07, Department of Economics at the University of Luxembourg.

    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 & 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. Okullo, Samuel J. & Reynès, Frédéric, 2016. "Imperfect cartelization in OPEC," Energy Economics, Elsevier, vol. 60(C), pages 333-344.
    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. Golombek, Rolf & Irarrazabal, Alfonso A. & Ma, Lin, 2018. "OPEC's market power: An empirical dominant firm model for the oil market," Energy Economics, Elsevier, vol. 70(C), pages 98-115.
    5. Kheiravar, Khaled H, 2019. "Economic and Econometric Analyses of the World Petroleum Industry, Energy Subsidies, and Air Pollution," Institute of Transportation Studies, Working Paper Series qt3gj151w9, Institute of Transportation Studies, UC Davis.
    6. Wan, Rui & Boyce, John R., 2014. "Non-renewable resource Stackelberg games," Resource and Energy Economics, Elsevier, vol. 37(C), pages 102-121.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Boyce, John R. & Vojtassak, Lucia, 2008. "An 'oil'igopoly theory of exploration," Resource and Energy Economics, Elsevier, vol. 30(3), pages 428-454, August.
    12. Wood, Aaron D. & Mason, Charles F. & Finnoff, David, 2016. "OPEC, the Seven Sisters, and oil market dominance: An evolutionary game theory and agent-based modeling approach," Journal of Economic Behavior & Organization, Elsevier, vol. 132(PB), pages 66-78.
    13. 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.
    14. 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.
    15. Kaushik Ranjan Bandyopadhyay, 2022. "Oil and Gas Markets and COVID-19: A Critical Rumination on Drivers, Triggers, and Volatility," Energies, MDPI, vol. 15(8), pages 1-21, April.
    16. Wirl, Franz, 2008. "Why do oil prices jump (or fall)?," Energy Policy, Elsevier, vol. 36(3), pages 1029-1043, March.
    17. 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.
    18. 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.
    19. Durand-Lasserve, Olivier & Pierru, Axel, 2021. "Modeling world oil market questions: An economic perspective," Energy Policy, Elsevier, vol. 159(C).
    20. Bandyopadhyay, Kaushik Ranjan, 2009. "Does OPEC act as a Residual Producer?," MPRA Paper 25841, University Library of Munich, Germany, revised 2010.

    More about this item

    Keywords

    Nonrenewable resources; Oligopolies; Cartel; Cooperative games; Differential games;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • Q30 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - General
    • Q32 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - Exhaustible Resources and Economic Development

    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:eee:dyncon:v:98:y:2019:i:c:p:23-39. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jedc .

    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.