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Supply Function Equilibria with Capacity Constraints and Pivotal Suppliers

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  • Talat S. Genc

    ()
    (Department of Economics,University of Guelph)

  • Stanley S. Reynolds

    ()
    (Department of Economics,University of Arizona)

Abstract

The concept of a supply function equilibrium (SFE) has been widely used to model generators’ bidding behavior and market power issues in wholesale electricity markets. Observers of electricity markets have noted how generation capacity constraints may contribute to market power of generation firms. If a generation firm’s rivals are capacity constrained then the firm may be pivotal; that is, the firm could substantially raise the market price by unilaterally withholding output. However the SFE literature has not properly analyzed the impact of capacity constraints and pivotal firms on equilibrium predictions. We characterize the set of symmetric supply function equilibria for uniform price auctions when firms are capacity constrained and show that this set is increasing as capacity per firm rises. We provide conditions under which asymmetric equilibria exist and characterize these equilibria. In addition, we compare results for uniform price auctions to those for discriminatory auctions, and we compare our SFE predictions to equilibrium predictions of models in which bidders are constrained to bid on discrete units of output.

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Bibliographic Info

Paper provided by University of Guelph, Department of Economics and Finance in its series Working Papers with number 1007.

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Length: 35 pages
Date of creation: 2010
Date of revision:
Handle: RePEc:gue:guelph:2010-07.

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Keywords: supply function equilibrium; pivotal firm; wholesale electricity market;

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References

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  8. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-77, November.
  9. 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.
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  12. 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.
  13. Holmberg, Pär, 2005. "Numerical Calculation of an Asymmetric Supply Function Equilibrium with Capacity Constraints," Working Paper Series 2005:12, Uppsala University, Department of Economics.
  14. Juan Delgado, 2006. "Coalition-proof supply function equilibria under capacity constraints," Economic Theory, Springer, vol. 29(1), pages 219-229, September.
  15. 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. 0(Number 3), pages 19-48.
  16. Ilan Kremer & Kjell G. Nyborg, 2004. "Divisible-Good Auctions: The Role of Allocation Rules," RAND Journal of Economics, The RAND Corporation, vol. 35(1), pages 147-159, Spring.
  17. Ahmed Anwar, 2004. "The Case for a Discriminatory Pricing Rule in Competitive Electricity Pools," ESE Discussion Papers 39, Edinburgh School of Economics, University of Edinburgh.
  18. Holmberg, Par, 2008. "Unique supply function equilibrium with capacity constraints," Energy Economics, Elsevier, vol. 30(1), pages 148-172, January.
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Cited by:
  1. Nie, Pu-yan & Chen, You-hua, 2012. "Duopoly competitions with capacity constrained input," Economic Modelling, Elsevier, vol. 29(5), pages 1715-1721.
  2. Pu-yan Nie, 2014. "Effects of capacity constraints on mixed duopoly," Journal of Economics, Springer, vol. 112(3), pages 283-294, July.
  3. David Hudgins, 2012. "Optimal Willingness to Supply Wholesale Electricity under Asymmetric Linearized Marginal Costs," International Journal of Energy Economics and Policy, Econjournals, vol. 2(4), pages 307-317.
  4. Holmberg, Pär & Newbery, David & Ralph, Daniel, 2009. "Supply Function Equilibria: Step Functions and Continuous Representations," Working Paper Series 788, Research Institute of Industrial Economics.
  5. Bolle, Friedel & Grimm, Veronika & Ockenfels, Axel & del Pozo, Xavier, 2013. "An experiment on supply function competition," European Economic Review, Elsevier, vol. 63(C), pages 170-185.
  6. Graf, Christoph & Wozabal, David, 2013. "Measuring competitiveness of the EPEX spot market for electricity," Energy Policy, Elsevier, vol. 62(C), pages 948-958.

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