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

  • Holmberg, Pär
  • Newbery, David

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.

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Article provided by Elsevier in its journal Utilities Policy.

Volume (Year): 18 (2010)
Issue (Month): 4 (December)
Pages: 209-226

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Handle: RePEc:eee:juipol:v:18:y:2010:i:4:p:209-226
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  1. 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.
  2. Holmberg, Pär, 2005. "Numerical Calculation of an Asymmetric Supply Function Equilibrium with Capacity Constraints," Working Paper Series 2005:12, Uppsala University, Department of Economics.
  3. Mahenc, P. & Salanie, F., 2004. "Softening competition through forward trading," Journal of Economic Theory, Elsevier, vol. 116(2), pages 282-293, June.
  4. 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.
  5. Newbery, D. M., 1997. "Competition, Contracts and Entry in the Electricity Spot Market," Cambridge Working Papers in Economics 9707, Faculty of Economics, University of Cambridge.
  6. James B. Bushnell & Erin T. Mansur & Celeste Saravia, 2007. "Vertical Arrangements, Market Structure, and Competition An Analysis of Restructured U.S. Electricity Markets," NBER Working Papers 13507, National Bureau of Economic Research, Inc.
  7. 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, 03.
  8. Pär Holmberg, 2009. "Supply function equilibria of pay-as-bid auctions," Journal of Regulatory Economics, Springer, vol. 36(2), pages 154-177, October.
  9. Holmberg, Pär & Newbery, David & Ralph, Daniel, 2009. "Supply Function Equilibria: Step Functions and Continuous Representations," Working Paper Series 788, Research Institute of Industrial Economics.
  10. Joanne Evans and Richard Green, 2005. "Why Did British Electricity Prices Fall after 1998?," Discussion Papers 05-13, Department of Economics, University of Birmingham.
  11. Newbery, D, 2008. "Analytic Solutions for Supply Function Equilibria: Uniqueness and Stability," Cambridge Working Papers in Economics 0848, Faculty of Economics, University of Cambridge.
  12. Bert WILLEMS & Ina RUMIANTSEVA & Hannes WEIGT, 2007. "Cournot versus supply functions: what does the data tell us?," Center for Economic Studies - Discussion papers ces0720, Katholieke Universiteit Leuven, Centrum voor Economische Studiën.
  13. Kremer, Ilan & Nyborg, Kjell G, 2004. "Underpricing and Market Power in Uniform Price Auctions," CEPR Discussion Papers 4363, C.E.P.R. Discussion Papers.
  14. Green, Richard, 1999. "The Electricity Contract Market in England and Wales," Journal of Industrial Economics, Wiley Blackwell, vol. 47(1), pages 107-24, March.
  15. 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.
  16. Giulio Federico & David Rahman, 2000. "Bidding in an electricity pay-as-bid auction," Economics Papers 2001-W5, Economics Group, Nuffield College, University of Oxford, revised 01 Apr 2001.
  17. Wilson, Robert, 1979. "Auctions of Shares," The Quarterly Journal of Economics, MIT Press, vol. 93(4), pages 675-89, November.
  18. Anderson, Edward J. & Holmberg, Pär & Philpott, Andrew B., 2009. "Mixed Strategies in Discriminatory Divisible-good Auctions," Working Paper Series 814, Research Institute of Industrial Economics.
  19. 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.
  20. Borenstein, Severin & Bushnell, James, 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.
  21. Holmberg, Par, 2008. "Unique supply function equilibrium with capacity constraints," Energy Economics, Elsevier, vol. 30(1), pages 148-172, January.
  22. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, June.
  23. Bushnell, James, 2007. "Oligopoly Equilibria in Electricity Contract Markets," Staff General Research Papers 13135, Iowa State University, Department of Economics.
  24. Paul Klemperer, 2004. "Auctions: Theory and Practice," Economics Papers 2004-W09, Economics Group, Nuffield College, University of Oxford.
  25. Bushnell, James, 2004. "California's electricity crisis: a market apart?," Energy Policy, Elsevier, vol. 32(9), pages 1045-1052, June.
  26. Richard E. Levitan & Martin Shubik, 1970. "Price Duopoly and Capacity Constraints," Cowles Foundation Discussion Papers 287, Cowles Foundation for Research in Economics, Yale University.
  27. Maskin, Eric, 1986. "The Existence of Equilibrium with Price-Setting Firms," American Economic Review, American Economic Association, vol. 76(2), pages 382-86, May.
  28. 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.
  29. David M. Newbery, 1995. "Power Markets and Market Power," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 39-66.
  30. 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, vol. 10(4), pages 377-401, August.
  31. Alfred E. Kahn & Peter Cramton & Robert H. Porter & Richard D. Tabors, 2001. "Uniform Pricing or Pay-as-Bid Pricing: A Dilemma for California and Beyond," Papers of Peter Cramton 01ej, University of Maryland, Department of Economics - Peter Cramton, revised 27 Jan 2001.
  32. Holmberg, Pär, 2008. "Game-theoretical, Strategic forward Contracting in the Electricity Market," Working Paper Series 756, Research Institute of Industrial Economics.
  33. 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.
  34. Allaz Blaise & Vila Jean-Luc, 1993. "Cournot Competition, Forward Markets and Efficiency," Journal of Economic Theory, Elsevier, vol. 59(1), pages 1-16, February.
  35. Jaime F. Zender & James J.D. Wang, 2002. "Auctioning divisible goods," Economic Theory, Springer, vol. 19(4), pages 673-705.
  36. 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.
  37. Borenstein, Severin & Bushnell, James & Knittel, Chris, 1999. "Market Power in Electricity Markets: Beyond Concentration Measures," Staff General Research Papers 31548, Iowa State University, Department of Economics.
  38. Lawrence M. Ausubel & Peter Cramton & Marek Pycia & Marzena Rostek & Marek Weretka, 2014. "Demand Reduction and Inefficiency in Multi-Unit Auctions," Review of Economic Studies, Oxford University Press, vol. 81(4), pages 1366-1400.
  39. MURPHY, Frederic & SMEERS, Yves, 2005. "Forward markets may not decrease market power when capacities are endogenous," CORE Discussion Papers 2005028, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  40. E. J. Anderson & H. Xu, 2004. "Nash equilibria in electricity markets with discrete prices," Mathematical Methods of Operations Research, Springer, vol. 60(2), pages 215-238, October.
  41. Kristiansen, Tarjei, 2007. "Pricing of monthly forward contracts in the Nord Pool market," Energy Policy, Elsevier, vol. 35(1), pages 307-316, January.
  42. 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.
  43. repec:spr:compst:v:60:y:2004:i:2:p:215-238 is not listed on IDEAS
  44. 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.
  45. 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 109-23, March.
  46. Paul Klemperer, 2004. "Introduction to Auctions: Theory and Practice
    [Auctions: Theory and Practice]
    ," Introductory Chapters, Princeton University Press.
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