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Some Inequalities related to the analysis of electricity auctions

Author

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  • Hästö, Peter

    () (Department of Mathematics and Statistics)

  • Holmberg, Pär

    () (Department of Economics)

Abstract

Most balaning markets of electric power are organized as uniform-price auctions. In 2001, the balancing market of England and Wales switched to a pay-as-bid auction with the intention of reducing wholesale electricity prices. Numerical simultations of an electricity auction model have indicated that this should lead to decreased average prices. In this article we prove two inequalities which give an analytic proof of this claim in the same model.

Suggested Citation

  • Hästö, Peter & Holmberg, Pär, 2005. "Some Inequalities related to the analysis of electricity auctions," Working Paper Series 2005:23, Uppsala University, Department of Economics.
  • Handle: RePEc:hhs:uunewp:2005_023
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    References listed on IDEAS

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    1. Natalia Fabra & Nils‐Henrik Fehr & David Harbord, 2006. "Designing electricity auctions," RAND Journal of Economics, RAND Corporation, vol. 37(1), pages 23-46, March.
    2. 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.
    3. 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.
    4. Federico, Giulio & Rahman, David, 2003. "Bidding in an Electricity Pay-as-Bid Auction," Journal of Regulatory Economics, Springer, pages 175-211.
    5. 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.
    6. 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.
    7. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
    8. 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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    Citations

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    Cited by:

    1. Per Engstrom & Bertil Holmlund, 2009. "Tax evasion and self-employment in a high-tax country: evidence from Sweden," Applied Economics, Taylor & Francis Journals, vol. 41(19), pages 2419-2430.
    2. Hallberg, Daniel, 2006. "Cross-national differences in income poverty among Europe´s 50+," Working Paper Series 2006:14, Uppsala University, Department of Economics.
    3. 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.
    4. Jie Chen, 2006. "The Dynamics of Housing Allowance Claims in Sweden: A Discrete Time-Hazard Analysis," European Journal of Housing Policy, Taylor and Francis Journals, pages 1-29.
    5. Robert Wilson, 2008. "Supply Function Equilibrium in a Constrained Transmission System," Operations Research, INFORMS, pages 369-382.
    6. Robert Wilson, 2008. "Supply Function Equilibrium in a Constrained Transmission System," Operations Research, INFORMS, pages 369-382.
    7. Ågren, Martin, 2006. "Prospect Theory and Higher Moments," Working Paper Series 2006:24, Uppsala University, Department of Economics.

    More about this item

    Keywords

    supply function equilibrium; uniform-price auction; pay-as-bid auctions; discriminatory auction; oligopoly; capacity constraint; wholesale electricity markets; inequalities;

    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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