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Pricing, Investments and Mergers with Intertemporal Capacity Constraints

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Author Info
Charalambos Christou () (Department of Economics, University of Macedonia)
Rossitsa Kotseva () (Department of Economics, University of Cyprus)
Nikolaos Vettas () (Department of Economics, Athens University of Economics and Business)
Abstract

We set up a duopoly model with dynamic capacity constraints under demand uncertainty. We endogenize the investment decisions of the ?rms, 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 ?rm 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 ?rms? capacities, the current demand and the remaining horizon. This option value may be higher when the ?rms 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 e? ciently managed over time. The prospect of a merger also leads to higher investment levels, as each ?rm wishes to appropriate a higher share of the total surplus. For some levels of the capacity installment cost, a merger that turns the duopoly into a monopoly is welfare improving.

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Paper provided by Department of Economics, University of Macedonia in its series Discussion Paper Series with number 2009_06.

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Date of creation: Mar 2009
Date of revision: Mar 2009
Handle: RePEc:mcd:mcddps:2009_06

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

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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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  1. de Frutos, Maria-Angeles & Fabra, Natalia, 2007. "Endogenous Capacities and Price Competition: The Role of Demand Uncertainty," CEPR Discussion Papers 6096, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
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  3. Jean J. Gabszewicz & Sougata Poddar, 1997. "Demand fluctuations and capacity utilization under duopoly," Economic Theory, Springer, vol. 10(1), pages 131-146. [Downloadable!] (restricted)
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  4. 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)
  5. Garcia, Alfredo & Reitzes, James D & Stacchetti, Ennio, 2001. "Strategic Pricing when Electricity is Storable," Journal of Regulatory Economics, Springer, vol. 20(3), pages 223-47, November. [Downloadable!] (restricted)
  6. 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)
  7. Farrell, Joseph & Shapiro, Carl, 1990. "Horizontal Mergers: An Equilibrium Analysis," American Economic Review, American Economic Association, vol. 80(1), pages 107-26, March. [Downloadable!] (restricted)
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  8. 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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  9. 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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  10. 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)
  11. Baik, Kyung Hwan, 1995. "Horizontal mergers of price-setting firms with sunk capacity costs," The Quarterly Review of Economics and Finance, Elsevier, vol. 35(3), pages 245-256. [Downloadable!] (restricted)
  12. 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. [Downloadable!] (restricted)
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