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Endogenous Capacities and Price Competition: The Role of Demand Uncertainty

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  • de Frutos, Maria-Angeles
  • Fabra, Natalia

Abstract

This paper analyzes a model of capacity choice followed by price competition under demand uncertainty. Under various assumptions regarding the nature and timing of demand realizations, we obtain general predictions concerning the role of demand uncertainty on equilibrium outcomes. We show that it reduces the multiplicity of equilibria, it may rule out the existence of symmetric equilibria, and it leads to endogenous capacity asymmetries even though firms are ex-ante symmetric. Furthermore, as compared to the certainty equivalent game, demand uncertainty reduces prices and increases consumer surplus, but it also decreases total welfare because of the emergence of idle capacity. By relying on the analysis of firms' reaction functions as well as on the theory of submodular games, we are able to show that a subgame perfect equilibrium always exists and to fully characterize it.

Suggested Citation

  • 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.
  • Handle: RePEc:cpr:ceprdp:6096
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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. Silvia Concettini, 2014. "Merit order effect and strategic investments in intermittent generation technologies," EconomiX Working Papers 2014-44, University of Paris Nanterre, EconomiX.
    3. Lam, W., 2015. "Competiton in the Market for Flexible Resources: an application to cloud computing," CORE Discussion Papers 2015034, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Lam, Wing Man Wynne, 2014. "Competition in the Market for Flexible Resources: an application to cloud computing," TSE Working Papers 14-518, Toulouse School of Economics (TSE).
    5. 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.
    6. Attila Tasnádi, 2016. "Endogenous timing of moves in Bertrand–Edgeworth triopolies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 12(4), pages 317-334, December.
    7. Kim, Jeong-Yoo & Lee, Myeong Ho & Berg, Nathan, 2016. "Peak-load pricing in duopoly," Economic Modelling, Elsevier, vol. 57(C), pages 47-54.
    8. Grimm, Veronika & Martin, Alexander & Schmidt, Martin & Weibelzahl, Martin & Zöttl, Gregor, 2016. "Transmission and generation investment in electricity markets: The effects of market splitting and network fee regimes," European Journal of Operational Research, Elsevier, vol. 254(2), pages 493-509.
    9. 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.
    10. Brown, David, 2014. "Capacity Payment Mechanisms and Investment Incentives in Restructured Electricity Markets," Working Papers 2014-13, University of Alberta, Department of Economics.
    11. Lepore, Jason J., 2012. "Cournot outcomes under Bertrand–Edgeworth competition with demand uncertainty," Journal of Mathematical Economics, Elsevier, vol. 48(3), pages 177-186.
    12. Sakellaris, Kostis, 2010. "Modeling Electricity Markets as Two-Stage Capacity Constrained Price Competition Games under Uncertainty," MPRA Paper 23317, University Library of Munich, Germany.
    13. 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.
    14. Kalyan Talluri & Victor Martínez-de-Albéniz, 2010. "Dynamic Price Competition with Fixed Capacities," Working Papers 425, Barcelona Graduate School of Economics.
    15. Christiaan Behrens & Mark Lijesen, 2012. "Capacity Choice under Uncertainty with Product Differentiation," Tinbergen Institute Discussion Papers 12-113/VIII, Tinbergen Institute, revised 20 Feb 2014.
    16. 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.
    17. Ruderer, D., 2012. "The Impact of Transmission Pricing in Network Industries," Cambridge Working Papers in Economics 1230, Faculty of Economics, University of Cambridge.
    18. repec:eee:eneeco:v:64:y:2017:i:c:p:272-285 is not listed on IDEAS
    19. 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," FAU Discussion Papers in Economics 04/2014, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.
    20. Yin, Zhe & Ma, Shihua, 2015. "Incentives to improve the service level in a random yield supply chain: The role of bonus contracts," European Journal of Operational Research, Elsevier, vol. 244(3), pages 778-791.
    21. Zöttl, Gregor, 2011. "On optimal scarcity prices," International Journal of Industrial Organization, Elsevier, vol. 29(5), pages 589-605, September.
    22. 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.

    More about this item

    Keywords

    demand uncertainty; investment; price competition; submodular game;

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms

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