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Two-Period Resource Duopoly with Endogenous Intertemporal Capacity Constraints

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  • Berk, Istemi

    (Energiewirtschaftliches Institut an der Universitaet zu Koeln)

Abstract

This paper analyzes the strategic firm behavior within the context of a two-period resource duopoly model in which firms face endogenous intertemporal capacity constraints. Firms are allowed to invest in capacity in between two periods in order to increase their initial endowment of exhaustible resource stocks. Using this setup, we find that the equilibrium price weakly decreases over time. Moreover, asymmetric distribution of initial resource stocks leads to a significant change in equilibrium outcome, provided that firms do not have the same cost structure in capacity additions. It is also verified that if only one company is capable of investment in capacity, the market moves to a more concentrated structure in the second period.

Suggested Citation

  • 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).
  • Handle: RePEc:ris:ewikln:2014_013
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    References listed on IDEAS

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    1. David Besanko & Ulrich Doraszelski, 2004. "Capacity Dynamics and Endogenous Asymmetries in Firm Size," RAND Journal of Economics, The RAND Corporation, vol. 35(1), pages 23-49, Spring.
    2. 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.
    3. Saloner, Garth, 1987. "Cournot duopoly with two production periods," Journal of Economic Theory, Elsevier, vol. 42(1), pages 183-187, June.
    4. 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.
    5. Vettas, Nikolaos & Biglaiser, Gary, 2004. "Dynamic Price Competition with Capacity Constraints and Strategic Buyers," CEPR Discussion Papers 4315, C.E.P.R. Discussion Papers.
    6. 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.
    7. 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.
    8. Polasky, Stephen, 1992. "Do oil producers act as 'Oil'igopolists?," Journal of Environmental Economics and Management, Elsevier, vol. 23(3), pages 216-247, November.
    9. Pindyck, Robert S, 1978. "The Optimal Exploration and Production of Nonrenewable Resources," Journal of Political Economy, University of Chicago Press, vol. 86(5), pages 841-861, October.
    10. Pal, Debashis, 1991. "Cournot duopoly with two production periods and cost differentials," Journal of Economic Theory, Elsevier, vol. 55(2), pages 441-448, December.
    11. Osborne, Martin J. & Pitchik, Carolyn, 1986. "Price competition in a capacity-constrained duopoly," Journal of Economic Theory, Elsevier, vol. 38(2), pages 238-260, April.
    12. Levitan, Richard & Shubik, Martin, 1972. "Price Duopoly and Capacity Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(1), pages 111-122, February.
    13. Eswaran, Mukesh & Lewis, Tracy R., 1984. "Ultimate recovery of an exhaustible resource under different market structures," Journal of Environmental Economics and Management, Elsevier, vol. 11(1), pages 55-69, March.
    14. Gaudet, Gerard & Long, Ngo Van, 1994. "On the effects of the distribution of initial endowments in a nonrenewable resource duopoly," Journal of Economic Dynamics and Control, Elsevier, vol. 18(6), pages 1189-1198, November.
    15. R. M. Solow, 1974. "Intergenerational Equity and Exhaustible Resources," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(5), pages 29-45.
    16. Harold Hotelling, 1931. "The Economics of Exhaustible Resources," Journal of Political Economy, University of Chicago Press, vol. 39(2), pages 137-137.
    17. 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.
    18. Joseph Stiglitz, 1974. "Growth with Exhaustible Natural Resources: Efficient and Optimal Growth Paths," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(5), pages 123-137.
    19. 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.
    20. 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.
    21. 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.
    22. Jean J. Gabszewicz & Sougata Poddar, 1997. "Demand fluctuations and capacity utilization under duopoly," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 131-146.
    23. 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.
    24. Glenn C. Loury, 1978. "The Optimal Exploitation of an Unknown Reserve," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(3), pages 621-636.
    25. 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.
    26. van den Berg, Anita & Bos, Iwan & Herings, P. Jean-Jacques & Peters, Hans, 2012. "Dynamic Cournot duopoly with intertemporal capacity constraints," International Journal of Industrial Organization, Elsevier, vol. 30(2), pages 174-192.
    27. Bikhchandani, Sushil & Mamer, John W., 1993. "A duopoly model of pricing for inventory liquidation," European Journal of Operational Research, Elsevier, vol. 69(2), pages 177-186, September.
    28. Partha Dasgupta & Geoffrey Heal, 1974. "The Optimal Depletion of Exhaustible Resources," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(5), pages 3-28.
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    More about this item

    Keywords

    Dynamic Duopoly; Cournot Competition; Endogenous Intertemporal Capacity Constraints; Subgame Perfect Nash Equilibrium;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • Q32 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - Exhaustible Resources and Economic Development

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