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Exploration for Nonrenewable Resources in a Dynamic Oligopoly: An Arrovian Result

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  • L. Lambertini

Abstract

I investigate two versions of a differential Cournot oligopoly game with nonrenewable resource exploitation, in which each firm may either exploit its own private pool or exploit a common pool jointly with the rivals. Firms use a deterministic technology to invest in exploration activities. In both models, 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 the assumptions on technology and demand, the aggregate exploration effort is either constant or increasing in the number of firms.

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  • L. Lambertini, 2013. "Exploration for Nonrenewable Resources in a Dynamic Oligopoly: An Arrovian Result," Working Papers wp859, Dipartimento Scienze Economiche, Universita' di Bologna.
    • Handle: RePEc:bol:bodewp:wp859
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    References listed on IDEAS

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    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, July-Dece.
    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.
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    Cited by:

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    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).

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    More about this item

    JEL classification:

    • 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

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