IDEAS home Printed from https://ideas.repec.org/a/wsi/igtrxx/v16y2014i02ns0219198914400118.html
   My bibliography  Save this article

Exploration For Nonrenewable Resources In A Dynamic Oligopoly: An Arrovian Result

Author

Listed:
  • LUCA LAMBERTINI

    (Department of Economics, University of Bologna, Strada Maggiore 45, 40125 Bologna, Italy)

Abstract

The model proposed in this paper investigates a differential Cournot oligopoly game with nonrenewable resource exploitation, in which each firm may exploit either its own private pool or a common pool jointly with the rivals. Firms use a deterministic technology to invest in exploration activities. There emerges that (i) the individual exploration effort is higher when each firms has exclusive rights on a pool of its own, and (ii) depending on whether each firm has access to its own pool or all firms exploit a common one, the aggregate exploration effort is either increasing or constant in the number of firms.

Suggested Citation

  • Luca Lambertini, 2014. "Exploration For Nonrenewable Resources In A Dynamic Oligopoly: An Arrovian Result," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 1-11.
  • Handle: RePEc:wsi:igtrxx:v:16:y:2014:i:02:n:s0219198914400118
    DOI: 10.1142/S0219198914400118
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219198914400118
    Download Restriction: Access to full text is restricted to subscribers

    File URL: https://libkey.io/10.1142/S0219198914400118?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 look for a different version below or search for a different version of it.

    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. Arrow, Kenneth J. & Chang, Sheldon, 1982. "Optimal pricing, use, and exploration of uncertain natural resource stocks," Journal of Environmental Economics and Management, Elsevier, vol. 9(1), pages 1-10, March.
    3. Fershtman, Chaim & Nitzan, Shmuel, 1991. "Dynamic voluntary provision of public goods," European Economic Review, Elsevier, vol. 35(5), pages 1057-1067, July.
    4. Jesús Crespo Cuaresma & Tapio Palokangas & Alexander Tarasyev (ed.), 2013. "Green Growth and Sustainable Development," Dynamic Modeling and Econometrics in Economics and Finance, Springer, edition 127, number 978-3-642-34354-4, March.
    5. Karp, Larry & Lee, In Ho, 2003. "Time-consistent policies," Journal of Economic Theory, Elsevier, vol. 112(2), pages 353-364, October.
    6. Deshmukh, Sudhakar D & Pliska, Stanley R, 1980. "Optimal Consumption and Exploration of Nonrenewable Resources under Uncertainty," Econometrica, Econometric Society, vol. 48(1), pages 177-200, January.
    7. Colombo, Luca & Labrecciosa, Paola, 2013. "Oligopoly exploitation of a private property productive asset," Journal of Economic Dynamics and Control, Elsevier, vol. 37(4), pages 838-853.
    8. Dasgupta, Partha & Gilbert, Richard & Stiglitz, Joseph, 1983. "Strategic Considerations in Invention and Innovation: The Case of Natural Resources," Econometrica, Econometric Society, vol. 51(5), pages 1439-1448, September.
    9. R. Davison, 1978. "Optimal Depletion of an Exhaustible Resource with Research and Development towards an Alternative Technology," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(2), pages 355-367.
    10. 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.
    11. 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.
    12. N. V. Quyen, 1991. "Exhaustible Resources: A Theory of Exploration," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(4), pages 777-789.
    13. Hoel, Michael, 1983. "Monopoly resource extractions under the presence of predetermined substitute production," Journal of Economic Theory, Elsevier, vol. 30(1), pages 201-212, June.
    14. Mohr, Ernst U, 1988. "Appropriation of Common Access Natural Resources through Exploration: The Relevance of the Open-Loop Concept," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(2), pages 307-319, May.
    15. Cellini, Roberto & Lambertini, Luca, 2007. "Time consistent fiscal policies in a Ramsey economy," Mathematical Social Sciences, Elsevier, vol. 53(3), pages 296-313, May.
    16. Christopher Harris & John Vickers, 1995. "Innovation and Natural Resources: A Dynamic Game with Uncertainty," RAND Journal of Economics, The RAND Corporation, vol. 26(3), pages 418-430, Autumn.
    17. Boyce, John R. & Vojtassak, Lucia, 2008. "An 'oil'igopoly theory of exploration," Resource and Energy Economics, Elsevier, vol. 30(3), pages 428-454, August.
    18. Nancy Gallini & Tracy Lewis & Roger Ware, 1983. "Strategic Timing and Pricing of a Substitute in a Cartelized Resource Market," Canadian Journal of Economics, Canadian Economics Association, vol. 16(3), pages 429-446, August.
    19. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    20. Olsen, Trond E, 1988. "Strategic Considerations in Invention and Innovation; The Case of Natural Resources Revisited," Econometrica, Econometric Society, vol. 56(4), pages 841-849, July.
    21. 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.
    22. Hoel, Michael, 1978. "Resource extraction, substitute production, and monopoly," Journal of Economic Theory, Elsevier, vol. 19(1), pages 28-37, October.
    23. Cairns, Robert D. & Van Quyen, Nguyen, 1998. "Optimal Exploration for and Exploitation of Heterogeneous Mineral Deposits," Journal of Environmental Economics and Management, Elsevier, vol. 35(2), pages 164-189, March.
    24. Quyen, N V, 1988. "The Optimal Depletion and Exploration of a Nonrenewable Resource," Econometrica, Econometric Society, vol. 56(6), pages 1467-1471, November.
    25. Stephen Polasky, 1996. "Exploration and Extraction in a Duopoly-Exhaustible Resource Market," Canadian Journal of Economics, Canadian Economics Association, vol. 29(2), pages 473-492, May.
    26. Cellini, Roberto & Lambertini, Luca, 2002. "A differential game approach to investment in product differentiation," Journal of Economic Dynamics and Control, Elsevier, vol. 27(1), pages 51-62, November.
    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. Koji Okuguchi & Takeshi Yamazaki, 2018. "Existence of Unique Equilibrium in Cournot Mixed Oligopoly," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 20(03), pages 1-13, September.
    2. Vicknair, David & Tansey, Michael & O'Brien, Thomas E., 2022. "Measuring fossil fuel reserves: A simulation and review of the U.S. Securities and Exchange Commission approach," Resources Policy, Elsevier, vol. 79(C).

    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. 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.
    2. Gerlagh, Reyer & Liski, Matti, 2011. "Strategic resource dependence," Journal of Economic Theory, Elsevier, vol. 146(2), pages 699-727, March.
    3. Jaakkola, Niko, 2019. "Carbon taxation, OPEC and the end of oil," Journal of Environmental Economics and Management, Elsevier, vol. 94(C), pages 101-117.
    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. Michielsen, T.O., 2013. "Strategic Resource Extraction And Substitute Development," Discussion Paper 2013-014, Tilburg University, Center for Economic Research.
    6. Boyce, John R. & Vojtassak, Lucia, 2008. "An 'oil'igopoly theory of exploration," Resource and Energy Economics, Elsevier, vol. 30(3), pages 428-454, August.
    7. José Daniel López-Barrientos & Ekaterina Viktorovna Gromova & Ekaterina Sergeevna Miroshnichenko, 2020. "Resource Exploitation in a Stochastic Horizon under Two Parametric Interpretations," Mathematics, MDPI, vol. 8(7), pages 1-29, July.
    8. Guido Candela & Roberto Cellini, 2006. "Investment in Tourism Market: A Dynamic Model of Differentiated Oligopoly," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 35(1), pages 41-58, September.
    9. 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.
    10. Gerlagh, Reyer & Liski, Matti, 2008. "Strategic Resource Dependence," Economic Theory and Applications Working Papers 44222, Fondazione Eni Enrico Mattei (FEEM).
    11. 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.
    12. 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.
    13. Johannes Pfeiffer, 2017. "Fossil Resources and Climate Change – The Green Paradox and Resource Market Power Revisited in General Equilibrium," ifo Beiträge zur Wirtschaftsforschung, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, number 77.
    14. 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.
    15. Michielsen, T.O., 2013. "Strategic Resource Extraction And Substitute Development," Other publications TiSEM 3274a291-31be-42c1-9a4d-5, Tilburg University, School of Economics and Management.
    16. Vicknair, David & Tansey, Michael & O'Brien, Thomas E., 2022. "Measuring fossil fuel reserves: A simulation and review of the U.S. Securities and Exchange Commission approach," Resources Policy, Elsevier, vol. 79(C).
    17. Michielsen, Thomas O., 2014. "Strategic resource extraction and substitute development," Resource and Energy Economics, Elsevier, vol. 36(2), pages 455-468.
    18. Jakobsson, Kristofer & Söderbergh, Bengt & Snowden, Simon & Li, Chuan-Zhong & Aleklett, Kjell, 2012. "Oil exploration and perceptions of scarcity: The fallacy of early success," Energy Economics, Elsevier, vol. 34(4), pages 1226-1233.
    19. Colombo, Luca & Labrecciosa, Paola, 2013. "On the convergence to the Cournot equilibrium in a productive asset oligopoly," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 441-445.
    20. S. Kostyunin & A. Palestini & E. Shevkoplyas, 2014. "On a Nonrenewable Resource Extraction Game Played by Asymmetric Firms," Journal of Optimization Theory and Applications, Springer, vol. 163(2), pages 660-673, November.

    More about this item

    Keywords

    Differential games; natural resources; oligopoly; C73; L13; Q30;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

    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:wsi:igtrxx:v:16:y:2014:i:02:n:s0219198914400118. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/igtr/igtr.shtml .

    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.