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Dynamic Duopoly with Intertemporal Capacity Constraints

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  • Berg Anita H.J. van den
  • Herings P. Jean-Jacques
  • Peters Hans J.M.

    (METEOR)

Abstract

We analyze strategic firm behavior in settings where the production stage is followed by several periods during which only sales take place. We analyze the dynamics of the market structure, the development of prices and sales over time, and the implications for profits and consumer surplus. Two specific settings are analyzed. In the first, a firm can commit up-front to a sales strategy that does not depend on the actual sales of its competitor. In this case there is a unique Nash equilibrium and price increases over time. In the second setting,there is no commitment and firms can adjust their sales in response to observed supply of their competitor in the previous period. It is shown that in this case a subgame perfect Nash equilibrium does not always exist. Equilibria can have surprising features. For some parameter constellations, price may decrease over time. It is also possible that the firm increases its pro t by destroying some of its production. When firms have equal size, the equilibrium outcome is the same in both the commitment and the non-commitment setting. In general, the setting without commitment is bene cial to the larger firm, whereas the setting with commitment leads to higher pro ts for the smaller firm.

Suggested Citation

  • Berg Anita H.J. van den & Herings P. Jean-Jacques & Peters Hans J.M., 2009. "Dynamic Duopoly with Intertemporal Capacity Constraints," Research Memorandum 018, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  • Handle: RePEc:unm:umamet:2009018
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    References listed on IDEAS

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    1. Biglaiser, Gary & Vettas, Nikolaos, 2004. "Dynamic Price Competition with Capacity Constraints and Strategic Buyers," CEPR Discussion Papers 4315, C.E.P.R. Discussion Papers.
    2. Saloner, Garth, 1987. "Cournot duopoly with two production periods," Journal of Economic Theory, Elsevier, vol. 42(1), pages 183-187, June.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Tracy R. Lewis & Richard Schmalensee, 1980. "On Oligopolistic Markets for Nonrenewable Natural Resources," The Quarterly Journal of Economics, Oxford University Press, vol. 95(3), pages 475-491.
    8. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
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    Keywords

    mathematical economics;

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