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Supply function equilibria: Step functions and continuous representations

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  • Holmberg, Pär
  • Newbery, David
  • Ralph, Daniel

Abstract

In most electricity markets generators must submit step-function offers to a uniform price auction. These markets are often modelled as simpler pure-strategy Supply Function Equilibria (SFE) with continuous supply functions. Critics argue that the discreteness and discontinuity of the required steps drastically change Nash equilibria, invalidating predictions of the SFE model. We prove that there are sufficient conditions, offered quantities can be continuously varied, offered prices are selected from a finite set, and the density of the additive demand shock is not too steep, where the resulting stepped SFE converges to the continuous SFE as the number of steps increases, reconciling the apparently very disparate approaches to modelling electricity markets.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 148 (2013)
Issue (Month): 4 ()
Pages: 1509-1551

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Handle: RePEc:eee:jetheo:v:148:y:2013:i:4:p:1509-1551

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Web page: http://www.elsevier.com/locate/inca/622869

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Keywords: Multi-unit auctions; Supply function equilibria; Convergence of Nash equilibria; Wholesale electricity markets;

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References

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Citations

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Cited by:
  1. Holmberg, P. & Willems, Bert, 2012. "Relaxing Competition through Speculation: Committing to a Negative Supply Slope," Discussion Paper 2012-088, Tilburg University, Center for Economic Research.
  2. 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.
  3. Vasin, A. & Daylova, E., 2013. "Analysis of the Short-Term Efficiency of Mechanisms of the Wholesale Electricity Market," Journal of the New Economic Association, New Economic Association, vol. 18(2), pages 35-60.
  4. Xavier Vives, 2011. "Strategic Supply Function Competition With Private Information," Econometrica, Econometric Society, vol. 79(6), pages 1919-1966, November.
  5. 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.
  6. Pepermans, Guido & Willems, Bert, 2010. "Cost Recovery in Congested Electricity Networks," Working Papers 2010/22, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
  7. 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.
  8. 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.

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