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Supply Function Equilibrium in a Constrained Transmission System

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  • Robert Wilson

Abstract

This article characterizes a supply function equilibrium in an auction market constrained by limited capacities of links in a transportation network and limited input/output capacities of participants. The formulation is adapted to a wholesale spot market for electricity managed by the operator of the transmission system. The results are derived using the calculus of variations to obtain the Euler conditions and the transversality conditions that characterize a Nash equilibrium in an auction in which bids are as supply functions, and quantities and payments are based either on nodal prices or pay-as-bid.
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Suggested Citation

  • Robert Wilson, 2005. "Supply Function Equilibrium in a Constrained Transmission System," Levine's Bibliography 784828000000000087, UCLA Department of Economics.
  • Handle: RePEc:cla:levrem:784828000000000087
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    File URL: http://faculty-gsb.stanford.edu/wilson/Personal%20pdf/WilsonSFE.pdf
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    References listed on IDEAS

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    1. Berry, Carolyn A. & Hobbs, Benjamin F. & Meroney, William A. & O'Neill, Richard P. & StewartJr, William R., 1999. "Understanding how market power can arise in network competition: a game theoretic approach," Utilities Policy, Elsevier, vol. 8(3), pages 139-158, September.
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    4. Bert Willems, 2000. "Cournot competition in the electricity market with transmission constraints," Energy, Transport and Environment Working Papers Series ete0004, KU Leuven, Department of Economics - Research Group Energy, Transport and Environment.
    5. 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.
    6. Shmuel S. Oren, 1997. "Economic Inefficiency of Passive Transmission Rights in Congested Electricity Systems with Competitive Generation," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 63-83.
    7. Chao, Hung-Po & Peck, Stephen, 1996. "A Market Mechanism for Electric Power Transmission," Journal of Regulatory Economics, Springer, vol. 10(1), pages 25-59, July.
    8. Bolle, Friedel, 2001. "Competition with supply and demand functions," Energy Economics, Elsevier, vol. 23(3), pages 253-277, May.
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    10. Chao, Hung-po & Peck, Stephen & Oren, Shmuel & Wilson, Robert, 2000. "Flow-Based Transmission Rights and Congestion Management," The Electricity Journal, Elsevier, vol. 13(8), pages 38-58, October.
    11. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
    12. Hästö, Peter & Holmberg, Pär, 2005. "Some Inequalities related to the analysis of electricity auctions," Working Paper Series 2005:23, Uppsala University, Department of Economics.
    13. 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, March.
    14. Alfred E. Kahn & Peter Cramton & Robert H. Porter & Richard D. Tabors, 2001. "Pricing in the California Power Exchange Electricity Market: Should California Switch from Uniform Pricing to Pay-as-Bid Pricing?," Papers of Peter Cramton 01calpx, University of Maryland, Department of Economics - Peter Cramton, revised 27 Jan 2001.
    15. Hu, X. & Ralph, D. & Ralph, E.K. & Bardsley, P. & Ferris, M.C., 2004. "Electricity Generation with Looped Transmission Networks: Bidding to an ISO," Cambridge Working Papers in Economics 0470, Faculty of Economics, University of Cambridge.
    16. Wilson, Robert, 1997. "Nonlinear Pricing," OUP Catalogue, Oxford University Press, number 9780195115826.
    17. SMEERS, Yves & WEI, Jing- Yuan, 1997. "Spatially oligopolistic model with opportunity cost pricing for transmission capacity reservations - A variational inequality approach," CORE Discussion Papers 1997017, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. 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.
    2. Nicholas Ryan, 2017. "The Competitive Effects of Transmission Infrastructure in the Indian Electricity Market," NBER Working Papers 23106, National Bureau of Economic Research, Inc.
    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. Hunt Allcott, 2012. "The Smart Grid, Entry, and Imperfect Competition in Electricity Markets," NBER Working Papers 18071, National Bureau of Economic Research, Inc.

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