IDEAS home Printed from https://ideas.repec.org/p/hhs/uunewp/2004_020.html
   My bibliography  Save this paper

Unique Supply Function Equilibrium with Capacity Constraints

Author

Listed:
  • Holmberg, Pär

    (Department of Economics)

Abstract

Consider a market where producers submit supply functions to a procurement auction — e.g. an electric power auction — under uncertainty, before demand has been realized. In the Supply Function Equilibrium (SFE), every firm commits to the supply function maximizing his expected profit given the supply functions of the competitors. The presence of multiple equilibria is one basic weakness of SFE. This paper shows that with (i) symmetric producers, (ii) inelastic demand, (iii) a reservation price, and (iiii) capacity constraints that bind with a positive probability, there is a unique symmetric SFE.

Suggested Citation

  • Holmberg, Pär, 2004. "Unique Supply Function Equilibrium with Capacity Constraints," Working Paper Series 2004:20, Uppsala University, Department of Economics.
    • Handle: RePEc:hhs:uunewp:2004_020
    as

    Download full text from publisher

    File URL: http://www.nek.uu.se/pdf/wp2004_20.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Skytte, Klaus, 1999. "The regulating power market on the Nordic power exchange Nord Pool: an econometric analysis," Energy Economics, Elsevier, vol. 21(4), pages 295-308, August.
    2. E. J. Anderson & A. B. Philpott, 2002. "Using Supply Functions for Offering Generation into an Electricity Market," Operations Research, INFORMS, vol. 50(3), pages 477-489, June.
    3. Robert Wilson, 1979. "Auctions of Shares," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(4), pages 675-689.
    4. Holmberg, Pär, 2005. "Asymmetric Supply Function Equilibrium with Constant Marginal Costs," Working Paper Series 2005:16, Uppsala University, Department of Economics.
    5. Green, Richard J & Newbery, David M, 1992. "Competition in the British Electricity Spot Market," Journal of Political Economy, University of Chicago Press, vol. 100(5), pages 929-953, October.
    6. Green, Richard, 1999. "The Electricity Contract Market in England and Wales," Journal of Industrial Economics, Wiley Blackwell, vol. 47(1), pages 107-124, March.
    7. Holmberg, Pär, 2009. "Numerical calculation of an asymmetric supply function equilibrium with capacity constraints," European Journal of Operational Research, Elsevier, vol. 199(1), pages 285-295, November.
    8. E. J. Anderson & H. Xu, 2005. "Supply Function Equilibrium in Electricity Spot Markets with Contracts and Price Caps," Journal of Optimization Theory and Applications, Springer, vol. 124(2), pages 257-283, February.
    9. David M. Newbery, 1998. "Competition, Contracts, and Entry in the Electricity Spot Market," RAND Journal of Economics, The RAND Corporation, vol. 29(4), pages 726-749, Winter.
    10. Ilan Kremer & Kjell G. Nyborg, 2004. "Divisible-Good Auctions: The Role of Allocation Rules," RAND Journal of Economics, The RAND Corporation, vol. 35(1), pages 147-159, Spring.
    11. Jaime F. Zender & James J.D. Wang, 2002. "Auctioning divisible goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(4), pages 673-705.
    12. Richard Green, 1999. "The Electricity Contract Market in England and Wales," Journal of Industrial Economics, Wiley Blackwell, vol. 47(1), pages 107-124, March.
    13. Léonard,Daniel & Long,Ngo van, 1992. "Optimal Control Theory and Static Optimization in Economics," Cambridge Books, Cambridge University Press, number 9780521331586.
    14. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
    15. Bolle, Friedel, 1992. "Supply function equilibria and the danger of tacit collusion : The case of spot markets for electricity," Energy Economics, Elsevier, vol. 14(2), pages 94-102, April.
    16. von der Fehr, Nils-Henrik Morch & Harbord, David, 1993. "Spot Market Competition in the UK Electricity Industry," Economic Journal, Royal Economic Society, vol. 103(418), pages 531-546, May.
    17. Aleksandr Rudkevich & Max Duckworth & Richard Rosen, 1998. "Modeling Electricity Pricing in a Deregulated Generation Industry: The Potential for Oligopoly Pricing in a Poolco," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 19-48.
    18. Hurlbut, David & Rogas, Keith & Oren, Shmuel, 2004. "Protecting the Market from "Hockey Stick" Pricing: How the Public Utility Commission of Texas is Dealing with Potential Price Gouging," The Electricity Journal, Elsevier, vol. 17(3), pages 26-33, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Holmberg, Pär & Newbery, David, 2010. "The supply function equilibrium and its policy implications for wholesale electricity auctions," Utilities Policy, Elsevier, vol. 18(4), pages 209-226, December.
    2. Anderson, Edward & Holmberg, Pär, 2018. "Price instability in multi-unit auctions," Journal of Economic Theory, Elsevier, vol. 175(C), pages 318-341.
    3. Fiuza de Bragança, Gabriel Godofredo & Daglish, Toby, 2016. "Can market power in the electricity spot market translate into market power in the hedge market?," Energy Economics, Elsevier, vol. 58(C), pages 11-26.
    4. Holmberg, Pär & Newbery, David & Ralph, Daniel, 2013. "Supply function equilibria: Step functions and continuous representations," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1509-1551.
    5. Pär Holmberg & Andy Philpott, 2014. "Supply function equilibria in transportation networks," Cambridge Working Papers in Economics 1421, Faculty of Economics, University of Cambridge.
    6. Holmberg, Pär & Philpott, Andrew, 2012. "Supply Function Equilibria in Networks with Transport Constraints," Working Paper Series 945, Research Institute of Industrial Economics, revised 10 Aug 2015.
    7. Genc, Talat S. & Reynolds, Stanley S., 2011. "Supply function equilibria with capacity constraints and pivotal suppliers," International Journal of Industrial Organization, Elsevier, vol. 29(4), pages 432-442, July.
    8. Pär Holmberg, 2017. "Pro‐competitive Rationing in Multi‐unit Auctions," Economic Journal, Royal Economic Society, vol. 127(605), pages 372-395, October.
    9. Crawford, Gregory S. & Crespo, Joseph & Tauchen, Helen, 2007. "Bidding asymmetries in multi-unit auctions: Implications of bid function equilibria in the British spot market for electricity," International Journal of Industrial Organization, Elsevier, vol. 25(6), pages 1233-1268, December.
    10. Fabra, Natalia & de Frutos, Maria-Angeles, 2008. "On the Impact of Forward Contract Obligations in Multi-Unit Auctions," CEPR Discussion Papers 6756, C.E.P.R. Discussion Papers.
    11. Edward Anderson & Huifu Xu, 2006. "Optimal Supply Functions in Electricity Markets with Option Contracts and Non-smooth Costs," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 63(3), pages 387-411, July.
    12. de Braganca, Gabriel Fiuza & Daglish, Toby, 2012. "Can market power in the electricity spot market translate into market power in the hedge market?," Working Paper Series 4130, Victoria University of Wellington, The New Zealand Institute for the Study of Competition and Regulation.
    13. Majid Al-Gwaiz & Xiuli Chao & Owen Q. Wu, 2017. "Understanding How Generation Flexibility and Renewable Energy Affect Power Market Competition," Manufacturing & Service Operations Management, INFORMS, vol. 19(1), pages 114-131, February.
    14. Holmberg, Pär, 2005. "Comparing Supply Function Equilibria of Pay-as-Bid and Uniform-Price Auctions," Working Paper Series 2005:17, Uppsala University, Department of Economics.
    15. Pär Holmberg, 2009. "Supply function equilibria of pay-as-bid auctions," Journal of Regulatory Economics, Springer, vol. 36(2), pages 154-177, October.
    16. E. J. Anderson & A. B. Philpott, 2002. "Using Supply Functions for Offering Generation into an Electricity Market," Operations Research, INFORMS, vol. 50(3), pages 477-489, June.
    17. Holmberg, Pär, 2009. "Numerical calculation of an asymmetric supply function equilibrium with capacity constraints," European Journal of Operational Research, Elsevier, vol. 199(1), pages 285-295, November.
    18. Xavier Vives, 2011. "Strategic Supply Function Competition With Private Information," Econometrica, Econometric Society, vol. 79(6), pages 1919-1966, November.
    19. Edward J. Anderson & Xinmin Hu, 2012. "Asymmetric Supply Function Equilibria with Forward Contracts," Journal of Optimization Theory and Applications, Springer, vol. 152(1), pages 198-224, January.
    20. Edward J. Anderson & Xinmin Hu, 2008. "Finding Supply Function Equilibria with Asymmetric Firms," Operations Research, INFORMS, vol. 56(3), pages 697-711, June.

    More about this item

    Keywords

    Supply function equilibrium; auction; oligopoly; capacity constraint; wholesale electricity market;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L94 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Electric Utilities

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hhs:uunewp:2004_020. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Ulrika Öjdeby (email available below). General contact details of provider: https://edirc.repec.org/data/nekuuse.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.