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Asymmetric Supply Function Equilibrium with Constant Marginal Costs

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Author Info
Holmberg, Pär () (Department of Economics)

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Abstract

In a real-time electric power auction, the bids of producers consist of committed supply as a function of price. The bids are submitted under uncertainty, before the demand by the Independent System Operator has been realized. In the Supply Function Equilibrium (SFE), every producer chooses the supply function maximizing his expected profit given his residual demand. I consider a uniform-price auction with a reservation price, where demand is inelastic and exceed the market capacity with a positive probability, and firms have identical constant marginal costs but asymmetric capacities. I show that under these conditions, there is a unique SFE, which is piece-wise symmetric.

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Publisher Info
Paper provided by Uppsala University, Department of Economics in its series Working Paper Series with number 2005:16.

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Length: 27 pages
Date of creation: 18 Apr 2005
Date of revision:
Handle: RePEc:hhs:uunewp:2005_016

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Postal: Department of Economics, Uppsala University, P. O. Box 513, SE-751 20 Uppsala, Sweden
Phone: + 46 18 471 25 00
Fax: + 46 18 471 14 78
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Web page: http://www.nek.uu.se/
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Related research
Keywords: supply function equilibrium; uniform-price auction; uniqueness; asymmetry; oligopoly; capacity constraint; wholesale electricity market;

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Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
D44 - Microeconomics - - Market Structure and Pricing - - - 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

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References listed on IDEAS
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.:
  1. 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. [Downloadable!]
  2. Holmberg, Pär, 2004. "Unique Supply Function Equilibrium with Capacity Constraints," Working Paper Series 2004:20, Uppsala University, Department of Economics. [Downloadable!]
    Other versions:
  3. 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. 19(3), pages 19-48.
  4. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-77, November. [Downloadable!] (restricted)
  5. Green, Richard J, 1996. "Increasing Competition in the British Electricity Spot Market," Journal of Industrial Economics, Blackwell Publishing, vol. 44(2), pages 205-16, June. [Downloadable!] (restricted)
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Cited by:
(explanations, 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.)

  1. Hallberg, Daniel, 2006. "Cross-national differences in income poverty among Europe´s 50+," Working Paper Series 2006:14, Uppsala University, Department of Economics. [Downloadable!]
  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. [Downloadable!]
  3. Berg, Lennart & Berger, Tommy, 2005. "The Q theory and the Swedish housing market –an empirical test," Working Paper Series 2005:19, Uppsala University, Department of Economics. [Downloadable!]
  4. Johansson, Fredrik & Klevmarken, Anders, 2006. "Explaining the size and nature of response in a survey on health status and economic standard," Working Paper Series 2006:2, Uppsala University, Department of Economics. [Downloadable!]
  5. 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. [Downloadable!] (restricted)
  6. Engström, Per & Holmlund, Bertil, 2006. "Tax Evasion and Self-Employment in a High-Tax Country: Evidence from Sweden," Working Paper Series 2006:12, Uppsala University, Department of Economics. [Downloadable!]
    Other versions:
  7. Engström, Per & Holmlund, Bertil, 2005. "Worker Absenteeism in Search Equilibrium," Working Paper Series 2005:22, Uppsala University, Department of Economics. [Downloadable!]
    Other versions:
  8. Willems, Bert & Rumiantseva, I. & Weigt, H., 2007. "Cournot versus Supply Functions: What Does the Data tell us?," Discussion Paper 2007-023, Tilburg University, Tilburg Law and Economic Center. [Downloadable!]
    Other versions:
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