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Discriminatory Versus Uniform-Price Electricity Auctions with Supply Function Equilibrium

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  • T. S. Genc

    (University of Guelph)

Abstract

The goal of this paper is to compare results for discriminatory auctions to results for uniform-price auctions when suppliers have capacity constraints. We have a pretty good understanding of what equilibrium results look like for the uniform-price auctions. But an unresolved problem is what happens when a discriminative auction is run and suppliers have capacity constraints. We formulate a supply function equilibrium model in continuous offer schedules with inelastic time-varying demand and with single-step marginal cost function to compare two auction institutions in the presence of capacity constraints. We show that payments made to the suppliers in the unique equilibrium of the discriminatory auction can be less than the payments in the uniform-price auction, depending on which uniform-price auction equilibrium is selected. For the high demand and/or low excess capacity cases, we characterize also mixed strategy supply function equilibrium under the discriminatory auction.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joptap:v:140:y:2009:i:1:d:10.1007_s10957-008-9437-8
    DOI: 10.1007/s10957-008-9437-8
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    References listed on IDEAS

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    1. 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 109-123, March.
    2. E. J. Anderson & A. B. Philpott, 2002. "Using Supply Functions for Offering Generation into an Electricity Market," Operations Research, INFORMS, vol. 50(3), pages 477-489, June.
    3. Natalia Fabra & Nils‐Henrik Fehr & David Harbord, 2006. "Designing electricity auctions," RAND Journal of Economics, RAND Corporation, vol. 37(1), pages 23-46, March.
    4. 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.
    5. Federico, Giulio & Rahman, David, 2003. "Bidding in an Electricity Pay-as-Bid Auction," Journal of Regulatory Economics, Springer, vol. 24(2), pages 175-211, September.
    6. E. J. Anderson & H. Xu, 2005. "Supply Function Equilibrium in Electricity Spot Markets with Contracts and Price Caps," Journal of Optimization Theory and Applications, Springer, vol. 124(2), pages 257-283, February.
    7. 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.
    8. Natalia Fabra, 2003. "Tacit Collusion in Repeated Auctions: Uniform Versus Discriminatory," Journal of Industrial Economics, Wiley Blackwell, vol. 51(3), pages 271-293, September.
    9. Catherine D. Wolfram, 1998. "Strategic Bidding in a Multiunit Auction: An Empirical Analysis of Bids to Supply Electricity in England and Wales," RAND Journal of Economics, The RAND Corporation, vol. 29(4), pages 703-725, Winter.
    10. Green, Richard J & Joanne Evans, 2003. "Why did British electricity prices fall after 1998?," Royal Economic Society Annual Conference 2003 92, Royal Economic Society.
    11. Natalia Fabra & Nils-Henrik M. von der Fehr & David Harbord, 2006. "Designing Electricity Auctions," RAND Journal of Economics, The RAND Corporation, vol. 37(1), pages 23-46, Spring.
    12. Jaime F. Zender & James J.D. Wang, 2002. "Auctioning divisible goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(4), pages 673-705.
    13. Ahmed Anwar, 1999. "The Case for a Discriminatory Pricing Rule in Competitive Electricity Pools," Edinburgh School of Economics Discussion Paper Series 39, Edinburgh School of Economics, University of Edinburgh.
    14. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
    15. Back, Kerry & Zender, Jaime F, 1993. "Auctions of Divisible Goods: On the Rationale for the Treasury Experiment," The Review of Financial Studies, Society for Financial Studies, vol. 6(4), pages 733-764.
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    Cited by:

    1. Genc, Talat S. & Aydemir, Abdurrahman, 2017. "Power trade, welfare, and air quality," Energy Economics, Elsevier, vol. 67(C), pages 423-438.
    2. Genc, Talat S., 2016. "Measuring demand responses to wholesale electricity prices using market power indices," Energy Economics, Elsevier, vol. 56(C), pages 247-260.
    3. Holmberg, Pär & Newbery, David, 2010. "The supply function equilibrium and its policy implications for wholesale electricity auctions," Utilities Policy, Elsevier, vol. 18(4), pages 209-226, December.
    4. Pär Holmberg & Frank Wolak, 2015. "Electricity markets: Designing auctions where suppliers have uncertain costs," Working Papers EPRG 1523, Energy Policy Research Group, Cambridge Judge Business School, University of Cambridge.
    5. Pär Holmberg, 2009. "Supply function equilibria of pay-as-bid auctions," Journal of Regulatory Economics, Springer, vol. 36(2), pages 154-177, October.
    6. 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.
    7. Genc, Talat S., 2024. "Energy Transition and the role of new natural gas turbines for power production: The case of GT11N2 M generators," Energy Economics, Elsevier, vol. 131(C).
    8. Zhuo Hu & Dong Huang & Congjun Rao & Xiaolin Xu, 2016. "Innovative allocation mechanism design of carbon emission permits in China under the background of a low-carbon economy," Environment and Planning B, , vol. 43(2), pages 419-434, March.
    9. Congjun Rao & Yong Zhao & Junjun Zheng & Mark Goh & Cheng Wang, 2017. "Bidding Behavior and Equilibrium Excursion of Uniform Price Auction Mechanism," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(06), pages 1-17, December.
    10. Eiji Sawada, 2016. "Effect of electricity system reform on retail electricity price increases in Japan," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 5(1), pages 1-14, December.
    11. Bunn, Derek & Koc, Veli & Sapio, Alessandro, 2015. "Resource externalities and the persistence of heterogeneous pricing behavior in an energy commodity market," Energy Economics, Elsevier, vol. 48(C), pages 265-275.

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