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Endogenous capacities and price competition: The role of demand uncertainty

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  • de Frutos, María-Ángeles
  • Fabra, Natalia

Abstract

We analyze the role of demand uncertainty in markets of fixed size, in which firms take long-run capacity decisions prior to competing in prices. We characterize the set of subgame perfect Nash equilibria under various assumptions regarding the nature and timing of demand uncertainty. In order to prove equilibrium existence, we identify a sufficient condition for the capacity choice game to be submodular. This condition resembles the standard downward-sloping marginal revenue condition used in Cournot games. A robust conclusion of the analysis is that equilibrium capacity choices are asymmetric, even when firms are ex-ante identical. Concerning the equivalence between the capacity-price game and the Cournot game, we find that with inelastic demands, the equilibria of the former belong to the equilibrium set of the latter. However, as compared to the Cournot game, the capacity-price game leads to lower prices and generates price dispersion.

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Bibliographic Info

Article provided by Elsevier in its journal International Journal of Industrial Organization.

Volume (Year): 29 (2011)
Issue (Month): 4 (July)
Pages: 399-411

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Handle: RePEc:eee:indorg:v:29:y:2011:i:4:p:399-411

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Web page: http://www.elsevier.com/locate/inca/505551

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Keywords: Investment Price competition Demand uncertainty Submodular games Cournot game;

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References

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  1. Morten Hviid, 1990. "Sequential capacity and price choices in a duopoly model with demand uncertainty," Journal of Economics, Springer, vol. 51(2), pages 121-144, June.
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  13. de Frutos, María-Ángeles & Fabra, Natalia, 2011. "Endogenous capacities and price competition: The role of demand uncertainty," International Journal of Industrial Organization, Elsevier, vol. 29(4), pages 399-411, July.
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Citations

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Cited by:
  1. Christou, Charalambos & Kotseva, Rossitsa & Vettas, Nikolaos, 2007. "Pricing, Investments and Mergers with Intertemporal Capacity Constraints," CEPR Discussion Papers 6433, C.E.P.R. Discussion Papers.
  2. Sakellaris, Kostis, 2010. "Modeling Electricity Markets as Two-Stage Capacity Constrained Price Competition Games under Uncertainty," MPRA Paper 23317, University Library of Munich, Germany.
  3. Peña, Juan Ignacio, 2011. "Las emisiones primarias de energía en el mercado español: valoración de opciones teórica y de mercado/Primary Energy Emissions in the Spanish Market: Theoretical and Market-Based Option Pricing," Estudios de Economía Aplicada, Estudios de Economía Aplicada, vol. 29, pages 617-626, Agosto.
  4. de Frutos, María-Ángeles & Fabra, Natalia, 2011. "Endogenous capacities and price competition: The role of demand uncertainty," International Journal of Industrial Organization, Elsevier, vol. 29(4), pages 399-411, July.
  5. Grimm, Veronika & Martin, Alexander & Weibelzahl, Martin & Zöttl, Gregor, 2014. "Transmission and Generation Investment in Electricity Markets: The Effects of Market Splitting and Network Fee Regimes," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 460, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
  6. Robert Somogyi, 2013. "Bertrand-Edgeworth competition with substantial product differentiation," IEHAS Discussion Papers 1332, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
  7. Kalyan Talluri & Víctor Martínez de Albéniz, 2010. "Dynamic price competition with fixed capacities," Economics Working Papers 1205, Department of Economics and Business, Universitat Pompeu Fabra.
  8. Lepore, Jason J., 2012. "Cournot outcomes under Bertrand–Edgeworth competition with demand uncertainty," Journal of Mathematical Economics, Elsevier, vol. 48(3), pages 177-186.
  9. Zöttl, Gregor, 2011. "On optimal scarcity prices," International Journal of Industrial Organization, Elsevier, vol. 29(5), pages 589-605, September.
  10. Charalambos Christou & Rossitsa Kotseva & Nikolaos Vettas, 2009. "Pricing, Investments and Mergers with Intertemporal Capacity Constraints," Discussion Paper Series 2009_06, Department of Economics, University of Macedonia, revised Mar 2009.
  11. Tasnádi, Attila, 2012. "Endogenous Timing of Moves in Bertrand-Edgeworth Triopolies," MPRA Paper 47610, University Library of Munich, Germany.
  12. Kalyan Talluri & Víctor Martínez de Albéniz, 2010. "Dynamic Price Competition with Fixed Capacities," Working Papers 425, Barcelona Graduate School of Economics.
  13. Ruderer, D., 2012. "The Impact of Transmission Pricing in Network Industries," Cambridge Working Papers in Economics 1230, Faculty of Economics, University of Cambridge.
  14. Grimm, Veronika & Martin, Alexander & Weibenzahl, Martin & Zoettl, Gregor, 2014. "Transmission and generation investment in electricity markets: The effects of market splitting and network fee regimes," IWQW Discussion Paper Series 04/2014, Friedrich-Alexander-Universität Erlangen-Nürnberg, Institut für Wirtschaftspolitik und Quantitative Wirtschaftsforschung (IWQW).

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