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The supply function equilibrium and its policy implications for wholesale electricity auctions

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  • Holmberg, Pär
  • Newbery, David
Abstract
The supply function equilibrium provides a game-theoretic model of strategic bidding in oligopolistic wholesale electricity auctions. This paper presents an intuitive account of current understanding and shows how welfare losses depend on the number of firms in the market and their asymmetry. Previous results and general recommendations for divisible-good/multi-unit auctions provides guidance on the design of the auction format, setting the reservation price, the rationing rule, and restrictions on the offer curves in wholesale electricity auctions.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:juipol:v:18:y:2010:i:4:p:209-226
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    1. Allaz Blaise & Vila Jean-Luc, 1993. "Cournot Competition, Forward Markets and Efficiency," Journal of Economic Theory, Elsevier, vol. 59(1), pages 1-16, February.
    2. Nils-Henrik M. von der Fehr, Eirik S. Amundsen and Lars Bergman, 2005. "The Nordic Market: Signs of Stress?," The Energy Journal, International Association for Energy Economics, vol. 0(Special I), pages 71-98.
    3. Rassenti, Stephen J & Smith, Vernon L & Wilson, Bart J, 2003. "Discriminatory Price Auctions in Electricity Markets: Low Volatility at the Expense of High Price Levels," Journal of Regulatory Economics, Springer, vol. 23(2), pages 109-123, March.
    4. 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.
    5. David M. Newbery, 2005. "Electricity liberalization in Britain: The quest for a satisfactory wholesale market design," The Energy Journal, International Association for Energy Economics, vol. 0(Special I), pages 43-70.
    6. James B. Bushnell & Erin T. Mansur & Celeste Saravia, 2008. "Vertical Arrangements, Market Structure, and Competition: An Analysis of Restructured US Electricity Markets," American Economic Review, American Economic Association, vol. 98(1), pages 237-266, March.
    7. Pär Holmberg, 2009. "Supply function equilibria of pay-as-bid auctions," Journal of Regulatory Economics, Springer, vol. 36(2), pages 154-177, October.
    8. Natalia Fabra & Nils‐Henrik Fehr & David Harbord, 2006. "Designing electricity auctions," RAND Journal of Economics, RAND Corporation, vol. 37(1), pages 23-46, March.
    9. Kahn, Alfred E. & Cramton, Peter C. & Porter, Robert H. & Tabors, Richard D., 2001. "Uniform Pricing or Pay-as-Bid Pricing: A Dilemma for California and Beyond," The Electricity Journal, Elsevier, vol. 14(6), pages 70-79, July.
    10. Robert H. Patrick & Frank A. Wolak, 2001. "Estimating the Customer-Level Demand for Electricity Under Real-Time Market Prices," NBER Working Papers 8213, National Bureau of Economic Research, Inc.
    11. Lawrence M. Ausubel & Peter Cramton & Marek Pycia & Marzena Rostek & Marek Weretka, 2014. "Demand Reduction and Inefficiency in Multi-Unit Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(4), pages 1366-1400.
    12. Willems, Bert & Rumiantseva, Ina & Weigt, Hannes, 2009. "Cournot versus Supply Functions: What does the data tell us?," Energy Economics, Elsevier, vol. 31(1), pages 38-47, January.
    13. Federico, Giulio & Rahman, David, 2003. "Bidding in an Electricity Pay-as-Bid Auction," Journal of Regulatory Economics, Springer, vol. 24(2), pages 175-211, September.
    14. Edward J. Anderson & Pär Holmberg & Andrew B. Philpott, 2013. "Mixed strategies in discriminatory divisible-good auctions," RAND Journal of Economics, RAND Corporation, vol. 44(1), pages 1-32, March.
    15. 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.
    16. 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.
    17. 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.
    18. Severin Borenstein & James Bushnell, 1999. "An Empirical Analysis of the Potential for Market Power in California’s Electricity Industry," Journal of Industrial Economics, Wiley Blackwell, vol. 47(3), pages 285-323, September.
    19. MURPHY, Frederic & SMEERS, Yves, 2005. "Forward markets may not decrease market power when capacities are endogenous," LIDAM Discussion Papers CORE 2005028, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    20. Par Holmberg, 2007. "Supply Function Equilibrium with Asymmetric Capacities and Constant Marginal Costs," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2), pages 55-82.
    21. E. J. Anderson & H. Xu, 2004. "Nash equilibria in electricity markets with discrete prices," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 60(2), pages 215-238, October.
    22. 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.
    23. Paul Klemperer, 2004. "Auctions: Theory and Practice," Online economics textbooks, SUNY-Oswego, Department of Economics, number auction1.
    24. Holmberg, Pär, 2008. "Game-theoretical, Strategic forward Contracting in the Electricity Market," Working Paper Series 756, Research Institute of Industrial Economics.
    25. Anderson, Edward J. & Hu, Xinmin, 2008. "Forward contracts and market power in an electricity market," International Journal of Industrial Organization, Elsevier, vol. 26(3), pages 679-694, May.
    26. Maskin, Eric, 1986. "The Existence of Equilibrium with Price-Setting Firms," American Economic Review, American Economic Association, vol. 76(2), pages 382-386, May.
    27. Levitan, Richard & Shubik, Martin, 1972. "Price Duopoly and Capacity Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(1), pages 111-122, February.
    28. Holmberg, Par, 2008. "Unique supply function equilibrium with capacity constraints," Energy Economics, Elsevier, vol. 30(1), pages 148-172, January.
    29. Natalia Fabra, 2003. "Tacit Collusion in Repeated Auctions: Uniform Versus Discriminatory," Journal of Industrial Economics, Wiley Blackwell, vol. 51(3), pages 271-293, September.
    30. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, April.
    31. 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.
    32. 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.
    33. repec:bla:jindec:v:47:y:1999:i:1:p:107-24 is not listed on IDEAS
    34. Andrew Sweeting, 2007. "Market Power In The England And Wales Wholesale Electricity Market 1995-2000," Economic Journal, Royal Economic Society, vol. 117(520), pages 654-685, April.
    35. Bushnell, James, 2004. "California's electricity crisis: a market apart?," Energy Policy, Elsevier, vol. 32(9), pages 1045-1052, June.
    36. 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.
    37. Green, Richard J & Joanne Evans, 2003. "Why did British electricity prices fall after 1998?," Royal Economic Society Annual Conference 2003 92, Royal Economic Society.
    38. Robert Wilson, 2008. "Supply Function Equilibrium in a Constrained Transmission System," Operations Research, INFORMS, vol. 56(2), pages 369-382, April.
    39. James Bushnell, 2007. "Oligopoly equilibria in electricity contract markets," Journal of Regulatory Economics, Springer, vol. 32(3), pages 225-245, December.
    40. Natalia Fabra & Nils-Henrik M. von der Fehr & David Harbord, 2006. "Designing Electricity Auctions," RAND Journal of Economics, The RAND Corporation, vol. 37(1), pages 23-46, Spring.
    41. Edward J. Anderson & Xinmin Hu, 2008. "Finding Supply Function Equilibria with Asymmetric Firms," Operations Research, INFORMS, vol. 56(3), pages 697-711, June.
    42. T. S. Genc, 2009. "Discriminatory Versus Uniform-Price Electricity Auctions with Supply Function Equilibrium," Journal of Optimization Theory and Applications, Springer, vol. 140(1), pages 9-31, January.
    43. 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.
    44. Parisio, Lucia & Bosco, Bruno, 2003. "Market Power and the Power Market: Multi-unit Bidding and (In)Efficiency in Electricity Auctions," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 10(4), pages 377-401, August.
    45. Mahenc, P. & Salanie, F., 2004. "Softening competition through forward trading," Journal of Economic Theory, Elsevier, vol. 116(2), pages 282-293, June.
    46. Severin Borenstein & James Bushnell & Christopher R. Knittel, 1999. "Market Power in Electricity Markets: Beyond Concentration Measures," The Energy Journal, International Association for Energy Economics, vol. 0(Number 4), pages 65-88.
    47. 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.
    48. Richard Green, 1999. "The Electricity Contract Market in England and Wales," Journal of Industrial Economics, Wiley Blackwell, vol. 47(1), pages 107-124, March.
    49. 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.
    50. Oren, Shmuel S., 2005. "Generation Adequacy via Call Options Obligations: Safe Passage to the Promised Land," The Electricity Journal, Elsevier, vol. 18(9), pages 28-42, November.
    51. 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.
    52. David M. Newbery, 1995. "Power Markets and Market Power," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 39-66.
    53. 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.
    54. Ross Baldick & Ryan Grant & Edward Kahn, 2004. "Theory and Application of Linear Supply Function Equilibrium in Electricity Markets," Journal of Regulatory Economics, Springer, vol. 25(2), pages 143-167, March.
    55. Blaise Allaz & Jean-Luc Vila, 1993. "Cournot Competition, Forward Markets and Efficiency," Post-Print hal-00511806, HAL.
    56. Robert Wilson, 1979. "Auctions of Shares," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(4), pages 675-689.
    57. Unknown, 2005. "Forward," 2005 Conference: Slovenia in the EU - Challenges for Agriculture, Food Science and Rural Affairs, November 10-11, 2005, Moravske Toplice, Slovenia 183804, Slovenian Association of Agricultural Economists (DAES).
    58. Kristiansen, Tarjei, 2007. "Pricing of monthly forward contracts in the Nord Pool market," Energy Policy, Elsevier, vol. 35(1), pages 307-316, January.
    59. Von Der Fehr, N.H.M. & Harbord, D., 1992. "Long-Tern Contracts and Imperfectly Competitive Spot Markets : A Study of U.K. Electricity Industry," Memorandum 1992_014, Oslo University, Department of Economics.
    60. Paul Klemperer, 2004. "Auctions: Theory and Practice," Online economics textbooks, SUNY-Oswego, Department of Economics, number auction1.
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    More about this item

    Keywords

    Wholesale electricity markets Supply function equilibria Competition policy Market regulation;

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • L94 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Electric Utilities

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