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Pricing, Investments and Mergers with Intertemporal Capacity Constraints

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Author Info
Christou, Charalambos
Kotseva, Rossitsa
Vettas, Nikolaos
Abstract

We set up a duopoly model with dynamic capacity constraints under demand uncertainty. We endogenize the investment decisions of the firms, examine their intertemporal pricing behavior, their incentives to merge, as well as the welfare implications of a merger. Whereas under known and constant demand the high capacity firm lets its low capacity rival sell out, under demand uncertainty we obtain a rich set of sales patterns. Each unit of available capacity has an option value (or opportunity cost), which depends on both firms' capacities, the current demand and the remaining horizon. This option value may be higher when the firms act non-cooperatively compared to the case when they merge to form a monopoly. Trade surplus may be higher when a merger takes place, as capacity is more efficiently managed over time. The prospect of a merger also leads to higher investment levels, as each firm wishes to appropriate a higher share of the total surplus. For some levels of the capacity instalment cost, a merger that turns the duopoly into a monopoly is welfare improving.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 6433.

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Date of creation: Aug 2007
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Handle: RePEc:cpr:ceprdp:6433

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Related research
Keywords: capacity constraints; dynamic oligopoly; inventories; mergers; price competition;

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Find related papers by JEL classification:
D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
L22 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Organization and Market Structure

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    Other versions:
  3. Reynolds, Stanley S. & Wilson, Bart J., 2000. "Bertrand-Edgeworth Competition, Demand Uncertainty, and Asymmetric Outcomes," Journal of Economic Theory, Elsevier, vol. 92(1), pages 122-141, May. [Downloadable!] (restricted)
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  7. Mireia Jofre-Bonet & Martin Pesendorfer, 2003. "Estimation of a Dynamic Auction Game," Econometrica, Econometric Society, vol. 71(5), pages 1443-1489, 09. [Downloadable!] (restricted)
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  8. Allen, B. & Deneckere, R. & Faith, T. & Kovenock, D., 1994. "Capacity Precommitment as a Barrier to Entry: A Bertrand-Edgeworth Approach," Purdue University Economics Working Papers 1062, Purdue University, Department of Economics.
    Other versions:
  9. Biglaiser, Gary & Vettas, Nikolaos, 2004. "Dynamic Price Competition with Capacity Constraints and Strategic Buyers," CEPR Discussion Papers 4315, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  15. Benoit, Jean-Pierre & Krishna, Vijay, 1987. "Dynamic Duopoly: Prices and Quantities," Review of Economic Studies, Blackwell Publishing, vol. 54(1), pages 23-35, January. [Downloadable!] (restricted)
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  17. Dudey, Marc, 1992. "Dynamic Edgeworth-Bertrand Competition," The Quarterly Journal of Economics, MIT Press, vol. 107(4), pages 1461-77, November. [Downloadable!] (restricted)
  18. 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 111-22, February. [Downloadable!] (restricted)
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  19. Raymond Deneckere & Carl Davidson, 1985. "Incentives to Form Coalitions with Bertrand Competition," RAND Journal of Economics, The RAND Corporation, vol. 16(4), pages 473-486, Winter. [Downloadable!] (restricted)
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