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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. Dan Kovenock & Raymond Deneckere & Tom Faith & Beth Allen, 2000. "Capacity precommitment as a barrier to entry: A Bertrand-Edgeworth approach," Economic Theory, Springer, vol. 15(3), pages 501-530.
  2. 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.
  3. Gal-Or, Esther, 1984. "Price Dispersion with Uncertain Demand," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(2), pages 441-57, June.
  4. Leonard F. Herk, 1993. "Consumer Choice and Cournot Behavior in Capacity-Constrained Duopoly Competition," RAND Journal of Economics, The RAND Corporation, vol. 24(3), pages 399-417, Autumn.
  5. Amir, Rabah & Wooders, John, 2000. "One-Way Spillovers, Endogenous Innovator/Imitator Roles, and Research Joint Ventures," Games and Economic Behavior, Elsevier, vol. 31(1), pages 1-25, April.
  6. Gabszewicz, J.J. & Poddar, S., . "Demand fluctuations and capacity utilization under duopoly," CORE Discussion Papers RP -1269, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. Veronika Grimm & Gregor Zoettl, 2006. "Capacity Choice under Uncertainty: The Impact of Market Structure," Working Paper Series in Economics 23, University of Cologne, Department of Economics.
  8. Robert W. Staiger & Frank A. Wolak, 1992. "Collusive Pricing with Capacity Constraints in the Presence of Demand Uncertainty," RAND Journal of Economics, The RAND Corporation, vol. 23(2), pages 203-220, Summer.
  9. Kovenock, D. & Roy, S., 1995. "Dynamic Capacity Choice in a Bertrand-Edgeworth Framework," Purdue University Economics Working Papers 1080, Purdue University, Department of Economics.
  10. Natalia Fabra & Nils‐Henrik M von der Fehr & María‐Ángeles de Frutos, 2011. "Market Design and Investment Incentives," Economic Journal, Royal Economic Society, vol. 121(557), pages 1340-1360, December.
  11. Dan Kovenock & Raymond J. Deneckere, 1996. "Bertrand-Edgeworth duopoly with unit cost asymmetry (*)," Economic Theory, Springer, vol. 8(1), pages 1-25.
  12. 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.
  13. Amir, Rabah & Garcia, Filomena & Knauff, Malgorzata, 2010. "Symmetry-breaking in two-player games via strategic substitutes and diagonal nonconcavity: A synthesis," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1968-1986, September.
  14. Dechenaux, Emmanuel & Kovenock, Dan, 2003. "Endogenous Rationing, Price Dispersion, and Collusion in Capacity Constrained Supergames," Purdue University Economics Working Papers 1164, Purdue University, Department of Economics.
  15. Benoit, Jean-Pierre & Krishna, Vijay, 1987. "Dynamic Duopoly: Prices and Quantities," Review of Economic Studies, Wiley Blackwell, vol. 54(1), pages 23-35, January.
  16. Compte, Olivier & Jenny, Frederic & Rey, Patrick, 2002. "Capacity constraints, mergers and collusion," European Economic Review, Elsevier, vol. 46(1), pages 1-29, January.
  17. Grant, S. & Quiggin, J., 1994. "Capital Recommitment and Competition in Supply Schedules," Papers 280, Australian National University - Department of Economics.
  18. 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.
  19. Acemoglu, Daron & Bimpikis, Kostas & Ozdaglar, Asuman, 2009. "Price and capacity competition," Games and Economic Behavior, Elsevier, vol. 66(1), pages 1-26, May.
  20. 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.
  21. Vives, X., 1988. "Nash Equilibrium With Strategic Complementarities," UFAE and IAE Working Papers 107-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  22. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-77, November.
  23. Carl Davidson & Raymond Deneckere, 1986. "Long-Run Competition in Capacity, Short-Run Competition in Price, and the Cournot Model," RAND Journal of Economics, The RAND Corporation, vol. 17(3), pages 404-415, Autumn.
  24. 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.
  25. Moreno, Diego & Ubeda, Luis, 2006. "Capacity precommitment and price competition yield the Cournot outcome," Games and Economic Behavior, Elsevier, vol. 56(2), pages 323-332, August.
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Citations

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Cited by:
  1. 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).
  2. 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.
  3. 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.
  4. Lepore, Jason J., 2012. "Cournot outcomes under Bertrand–Edgeworth competition with demand uncertainty," Journal of Mathematical Economics, Elsevier, vol. 48(3), pages 177-186.
  5. 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.
  6. Kalyan Talluri & Víctor Martínez de Albéniz, 2010. "Dynamic Price Competition with Fixed Capacities," Working Papers 425, Barcelona Graduate School of Economics.
  7. Zöttl, Gregor, 2011. "On optimal scarcity prices," International Journal of Industrial Organization, Elsevier, vol. 29(5), pages 589-605, September.
  8. Tasnádi, Attila, 2012. "Endogenous Timing of Moves in Bertrand-Edgeworth Triopolies," MPRA Paper 47610, University Library of Munich, Germany.
  9. 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.
  10. Ruderer, D., 2012. "The Impact of Transmission Pricing in Network Industries," Cambridge Working Papers in Economics 1230, Faculty of Economics, University of Cambridge.
  11. 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.
  12. 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.
  13. Sakellaris, Kostis, 2010. "Modeling Electricity Markets as Two-Stage Capacity Constrained Price Competition Games under Uncertainty," MPRA Paper 23317, University Library of Munich, Germany.
  14. 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.

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