Supply function equilibria: Step functions and continuous representations
In most electricity markets generators must submit step-function offers to a uniform price auction. These markets are often modelled as simpler pure-strategy Supply Function Equilibria (SFE) with continuous supply functions. Critics argue that the discreteness and discontinuity of the required steps drastically change Nash equilibria, invalidating predictions of the SFE model. We prove that there are sufficient conditions, offered quantities can be continuously varied, offered prices are selected from a finite set, and the density of the additive demand shock is not too steep, where the resulting stepped SFE converges to the continuous SFE as the number of steps increases, reconciling the apparently very disparate approaches to modelling electricity markets.
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Volume (Year): 148 (2013)
Issue (Month): 4 ()
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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- David M. Newbery, 1995. "Power Markets and Market Power," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 39-66.
- Frank Wolak, 2000. "An Empirical Analysis of the Impact of Hedge Contracts on Bidding Behavior in a Competitive Electricity Market," International Economic Journal, Taylor & Francis Journals, vol. 14(2), pages 1-39.
- 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.
- 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.
- 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.
- Talat S. Genc & Stanley S. Reynolds, 2010. "Supply Function Equilibria with Capacity Constraints and Pivotal Suppliers," Working Papers 1007, University of Guelph, Department of Economics and Finance.
- 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.
- Holmberg, P. & Newbery, D & Ralph, D., 2008. "Supply Function Equilibria: Step Functions and Continuous Representations," Cambridge Working Papers in Economics 0863, Faculty of Economics, University of Cambridge.
- Holmberg, Pär & Newbery, David & Ralph, Daniel, 2009. "Supply Function Equilibria: Step Functions and Continuous Representations," Working Paper Series 788, Research Institute of Industrial Economics.
- 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.
- Ilan Kremer, 2004.
"Underpricing and Market Power in Uniform Price Auctions,"
Review of Financial Studies,
Society for Financial Studies, vol. 17(3), pages 849-877.
- Kremer, Ilan & Nyborg, Kjell G, 2004. "Underpricing and Market Power in Uniform Price Auctions," CEPR Discussion Papers 4363, C.E.P.R. Discussion Papers.
- Bagh, Adib, 2010. "Variational convergence: Approximation and existence of equilibria in discontinuous games," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1244-1268, May.
- Supatgiat, Chonawee & Zhang, Rachel Q & Birge, John R, 2001. "Equilibrium Values in a Competitive Power Exchange Market," Computational Economics, Springer;Society for Computational Economics, vol. 17(1), pages 93-121, February.
- 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.
- 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.
- Jakub Kastl, 2011. "Discrete Bids and Empirical Inference in Divisible Good Auctions," Review of Economic Studies, Oxford University Press, vol. 78(3), pages 974-1014.
- 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.
- Anderson, Edward, 2011. "Supply Function Equilibria Always Exist," Working Papers 04/2011, University of Sydney Business School, Discipline of Business Analytics.
- Green, Richard J, 1996. "Increasing Competition in the British Electricity Spot Market," Journal of Industrial Economics, Wiley Blackwell, vol. 44(2), pages 205-216, June.
- Robert Wilson, 2005.
"Supply Function Equilibrium in a Constrained Transmission System,"
784828000000000087, UCLA Department of Economics.
- Wilson, Robert B., 2007. "Supply Function Equilibrium in a Constrained Transmission System," Research Papers 1966, Stanford University, Graduate School of Business.
- 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.
- Holmberg, Pär, 2005.
"Numerical Calculation of an Asymmetric Supply Function Equilibrium with Capacity Constraints,"
Working Paper Series
2005:12, Uppsala University, Department of Economics.
- 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.
- Von der Fehr, N.H.M. & Harbord, D., 1992.
"Spot Market Competition in the UK Electricity Industry,"
09/1992, Oslo University, Department of Economics.
- 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.
- 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.
- Natalia Fabra & Nils-Henrik von der Fehr & David Harbord, 2002.
"Designing Electricity Auctions,"
0211017, EconWPA, revised 31 Aug 2003.
- 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.
- Sweeting, A., 2004.
"Market Power in the England and Wales Wholesale Electricity Market 1995-2000,"
Cambridge Working Papers in Economics
0455, Faculty of Economics, University of Cambridge.
- 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, 04.
- Robert Wilson, 1979. "Auctions of Shares," The Quarterly Journal of Economics, Oxford University Press, vol. 93(4), pages 675-689.
- 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.
- Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 1-26.
- David McAdams, 2003. "Isotone Equilibrium in Games of Incomplete Information," Econometrica, Econometric Society, vol. 71(4), pages 1191-1214, 07.
- Frank A. Wolak, 2001. "Identification and Estimation of Cost Functions Using Observed Bid Data: An Application to Electricity Markets," NBER Working Papers 8191, National Bureau of Economic Research, Inc.
- repec:spr:compst:v:60:y:2004:i:2:p:215-238 is not listed on IDEAS
- 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.
- Green, Richard & Newbery, David M G, 1991. "Competition in the British Electricity Spot Market," CEPR Discussion Papers 557, C.E.P.R. Discussion Papers.
- repec:rje:randje:v:37:y:2006:1:p:23-46 is not listed on IDEAS
- Kastl, Jakub, 2012. "On the properties of equilibria in private value divisible good auctions with constrained bidding," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 339-352.
- Leo K. Simon, 1987. "Games with Discontinuous Payoffs," Review of Economic Studies, Oxford University Press, vol. 54(4), pages 569-597.
- Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
- Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
- Frank A. Wolak, 2007. "Quantifying the supply-side benefits from forward contracting in wholesale electricity markets," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(7), pages 1179-1209.
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