IDEAS home Printed from https://ideas.repec.org/a/spr/cejnor/v24y2016i4d10.1007_s10100-015-0390-y.html
   My bibliography  Save this article

Supply function equilibria for uniform price auction in oligopolistic markets

Author

Listed:
  • Alexander Vasin

    (Lomonosov Moscow State University)

  • Marina Dolmatova

    (Lomonosov Moscow State University)

  • Gerhard-Wilhelm Weber

    (Middle East Technical University)

Abstract

We consider game-theoretic models related to the supply function auction for electricity markets. We determine the set of supply function equilibria (SFE), introduced by Klemperer and Mayer (Econometrica 57:1243–1277, 1989), for a symmetric oligopoly with linear demand, fixed marginal cost and capacity constraint. This set depends on the maximum random shock of the demand function. We also study the best response dynamics and show that in general it does not converge to any SFE. We find out sufficient conditions for the convergence and conclude on the optimal parameters of the auction.

Suggested Citation

  • Alexander Vasin & Marina Dolmatova & Gerhard-Wilhelm Weber, 2016. "Supply function equilibria for uniform price auction in oligopolistic markets," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 24(4), pages 819-831, December.
    • Handle: RePEc:spr:cejnor:v:24:y:2016:i:4:d:10.1007_s10100-015-0390-y
    DOI: 10.1007/s10100-015-0390-y
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10100-015-0390-y
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10100-015-0390-y?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. 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.
    3. E. J. Anderson & A. B. Philpott, 2002. "Optimal Offer Construction in Electricity Markets," Mathematics of Operations Research, INFORMS, vol. 27(1), pages 82-100, February.
    4. David Newbery, 2008. "Analytic Solutions for Supply Function Equilibria: Uniqueness and Stability," Working Papers EPRG 0824, Energy Policy Research Group, Cambridge Judge Business School, University of Cambridge.
    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. repec:bla:jindec:v:47:y:1999:i:1:p:107-24 is not listed on IDEAS
    7. Alexander Vasin & Marina Dolmatova, 2014. "Does SFE Correspond to Expected Behavior in the Uniform Price Auction?," Operations Research Proceedings, in: Stefan Helber & Michael Breitner & Daniel Rösch & Cornelia Schön & Johann-Matthias Graf von der Schu (ed.), Operations Research Proceedings 2012, edition 127, pages 231-236, Springer.
    8. 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.
    9. Edward J. Anderson & Xinmin Hu, 2008. "Finding Supply Function Equilibria with Asymmetric Firms," Operations Research, INFORMS, vol. 56(3), pages 697-711, June.
    10. 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.
    11. Richard Green, 1999. "The Electricity Contract Market in England and Wales," Journal of Industrial Economics, Wiley Blackwell, vol. 47(1), pages 107-124, March.
    12. Ramteen Sioshansi & Shmuel Oren, 2007. "How good are supply function equilibrium models: an empirical analysis of the ERCOT balancing market," Journal of Regulatory Economics, Springer, vol. 31(1), pages 1-35, February.
    13. Ali Hortaçsu & Steven L. Puller, 2008. "Understanding strategic bidding in multi‐unit auctions: a case study of the Texas electricity spot market," RAND Journal of Economics, RAND Corporation, vol. 39(1), pages 86-114, March.
    14. Wang, Lizhi & Mazumdar, Mainak & Bailey, Matthew D. & Valenzuela, Jorge, 2007. "Oligopoly models for market price of electricity under demand uncertainty and unit reliability," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1309-1321, September.
    15. Milgrom, Paul & Roberts, John, 1991. "Adaptive and sophisticated learning in normal form games," Games and Economic Behavior, Elsevier, vol. 3(1), pages 82-100, February.
    16. David M. Newbery, 2002. "Privatization, Restructuring, and Regulation of Network Utilities," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262640481, December.
    17. Ayzenberg, N. & Kiseleva, N. & Zorkaltsev, V., 2013. "Models of Imperfect Competition in Analysis of Siberian Electricity Market," Journal of the New Economic Association, New Economic Association, vol. 18(2), pages 62-88.
    18. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
    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. Holmberg, Pär & Willems, Bert, 2015. "Relaxing competition through speculation: Committing to a negative supply slope," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 236-266.
    3. Anderson, Edward & Holmberg, Pär, 2018. "Price instability in multi-unit auctions," Journal of Economic Theory, Elsevier, vol. 175(C), pages 318-341.
    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. 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.
    6. Pär Holmberg & Andy Philpott, 2014. "Supply function equilibria in transportation networks," Cambridge Working Papers in Economics 1421, Faculty of Economics, University of Cambridge.
    7. Pär Holmberg, 2017. "Pro‐competitive Rationing in Multi‐unit Auctions," Economic Journal, Royal Economic Society, vol. 127(605), pages 372-395, October.
    8. Bolle, Friedel & Grimm, Veronika & Ockenfels, Axel & del Pozo, Xavier, 2013. "An experiment on supply function competition," European Economic Review, Elsevier, vol. 63(C), pages 170-185.
    9. 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.
    10. K. Ruddell & A. B. Philpott & A. Downward, 2017. "Supply Function Equilibrium with Taxed Benefits," Operations Research, INFORMS, vol. 65(1), pages 1-18, February.
    11. Xavier Vives, 2011. "Strategic Supply Function Competition With Private Information," Econometrica, Econometric Society, vol. 79(6), pages 1919-1966, November.
    12. 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.
    13. 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.
    14. 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.
    15. K. Ruddell & A. B. Philpott & A. Downward, 2017. "Supply Function Equilibrium with Taxed Benefits," Operations Research, INFORMS, vol. 65(1), pages 1-18, February.
    16. Holmberg, P. & Philpott, A.B., 2018. "On supply-function equilibria in radial transmission networks," European Journal of Operational Research, Elsevier, vol. 271(3), pages 985-1000.
    17. Manzano, Carolina & Vives, Xavier, 2021. "Market power and welfare in asymmetric divisible good auctions," Theoretical Economics, Econometric Society, vol. 16(3), July.
    18. Holmberg, Pär & Tangerås, Thomas & Ahlqvist, Victor, 2018. "Central- versus Self-Dispatch in Electricity Markets," Working Paper Series 1257, Research Institute of Industrial Economics, revised 27 Mar 2019.
    19. David P. Brown & David E. M. Sappington, 2023. "Load-Following Forward Contracts," The Energy Journal, , vol. 44(3), pages 187-222, May.
    20. Yasui, Yuta & Haraguchi, Junichi, 2018. "Supply function equilibria and nonprofit-maximizing objectives," Economics Letters, Elsevier, vol. 166(C), pages 50-55.

    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:spr:cejnor:v:24:y:2016:i:4:d:10.1007_s10100-015-0390-y. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.