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Comparing Supply Function Equilibria of Pay-as-Bid and Uniform-Price Auctions

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  • Holmberg, Pär

    (Department of Economics)

Abstract

This paper derives a Supply Function Equilibrium (SFE) of a pay-as-bid auction, also called discriminatory auction. Such an auction is used in the balancing market for electric power in Britain. For some probability distributions of demand a pure-strategy equilibrium does not exist. If demand follows an inverse polynomial probability distribution, SFE always exists. Assuming this probability distribution, the pay-as-bid procurement auction is compared to a SFE of a uniform-price procurement auction, the auction form of most electric power markets. The demand-weighted average price is found to be equal or lower in the pay-as-bid procurement auction.

Suggested Citation

  • Holmberg, Pär, 2005. "Comparing Supply Function Equilibria of Pay-as-Bid and Uniform-Price Auctions," Working Paper Series 2005:17, Uppsala University, Department of Economics.
    • Handle: RePEc:hhs:uunewp:2005_017
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    References listed on IDEAS

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    1. Natalia Fabra, 2003. "Tacit Collusion in Repeated Auctions: Uniform Versus Discriminatory," Journal of Industrial Economics, Wiley Blackwell, vol. 51(3), pages 271-293, September.
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    5. Holmberg, Pär, 2005. "Asymmetric Supply Function Equilibrium with Constant Marginal Costs," Working Paper Series 2005:16, Uppsala University, Department of Economics.
    6. 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.
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    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. Holmberg, Par, 2008. "Unique supply function equilibrium with capacity constraints," Energy Economics, Elsevier, vol. 30(1), pages 148-172, January.
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    Citations

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    Cited by:

    1. 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.
    2. Fredrik Johansson-Tormod & Anders Klevmarken, 2022. "Explaining the Size and Nature of Response in a Survey on Health Status and Economic Standard," International Journal of Microsimulation, International Microsimulation Association, vol. 15(1), pages 63-77.
    3. Pär Holmberg, 2009. "Supply function equilibria of pay-as-bid auctions," Journal of Regulatory Economics, Springer, vol. 36(2), pages 154-177, October.
    4. 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.
    5. Hästö, Peter & Holmberg, Pär, 2005. "Some Inequalities related to the analysis of electricity auctions," Working Paper Series 2005:23, Uppsala University, Department of Economics.
    6. Vítor Marques & Isabel Soares & Adelino Fortunato, 2008. "Uniform Price Market and Behaviour Pattern: What Does the Iberian Electricity Market Point Out?," GEMF Working Papers 2008-08, GEMF, Faculty of Economics, University of Coimbra.

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    More about this item

    Keywords

    Supply function equilibrium; pay-as-bid auction; uniform-price auction; discriminatory auction; oligopoly; capacity constraint; wholesale electricity market;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - 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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