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Supply function equilibria in transportation networks

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  • Pär Holmberg
  • Andy Philpott

Abstract

Transport constraints limit competition and arbitrageurs' possibilities of exploiting price differences between commodities in neighbouring markets. We analyze a transportation network where oligopoly producers compete with supply functions under uncertain demand, as in wholesale electricity markets. For symmetric networks with a radial structure, we show that existence of symmetric supply function equilibria (SFE) is ensured if demand shocks are sufficiently evenly distributed. We can explicitly solve for them for uniform multi-dimensional nodal demand shocks.

Suggested Citation

  • Pär Holmberg & Andy Philpott, 2014. "Supply function equilibria in transportation networks," Cambridge Working Papers in Economics 1421, Faculty of Economics, University of Cambridge.
  • Handle: RePEc:cam:camdae:1421
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    1. Frank A. Wolak, 2007. "Quantifying the supply-side benefits from forward contracting in wholesale electricity markets," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(7), pages 1179-1209.
    2. Xavier Vives, 2011. "Strategic Supply Function Competition With Private Information," Econometrica, Econometric Society, vol. 79(6), pages 1919-1966, November.
    3. 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.
    4. 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.
    5. Edward J. Anderson & Pär Holmberg & Andrew B. Philpott, 2013. "Mixed strategies in discriminatory divisible-good auctions," RAND Journal of Economics, RAND Corporation, vol. 44(1), pages 1-32, March.
    6. 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.
    7. Roger E. Bohn & Michael C. Caramanis & Fred C. Schweppe, 1984. "Optimal Pricing in Electrical Networks over Space and Time," RAND Journal of Economics, The RAND Corporation, vol. 15(3), pages 360-376, Autumn.
    8. E. J. Anderson & A. B. Philpott, 2002. "Optimal Offer Construction in Electricity Markets," Mathematics of Operations Research, INFORMS, vol. 27(1), pages 82-100, February.
    9. von der Fehr, Nils-Henrik Morch & Harbord, David, 1993. "Spot Market Competition in the UK Electricity Industry," Economic Journal, Royal Economic Society, vol. 103(418), pages 531-546, May.
    10. Holmberg, Par, 2008. "Unique supply function equilibrium with capacity constraints," Energy Economics, Elsevier, vol. 30(1), pages 148-172, January.
    11. Jian Yao & Ilan Adler & Shmuel S. Oren, 2008. "Modeling and Computing Two-Settlement Oligopolistic Equilibrium in a Congested Electricity Network," Operations Research, INFORMS, vol. 56(1), pages 34-47, February.
    12. 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.
    13. Holmberg, Pär & Lazarczyk, Ewa, 2012. "Congestion Management in Electricity Networks: Nodal, Zonal and Discriminatory Pricing," Working Paper Series 915, Research Institute of Industrial Economics.
    14. Severin Borenstein & James. Bushnell & Steven Stoft, 2000. "The Competitive Effects of Transmission Capacity in A Deregulated Electricity Industry," RAND Journal of Economics, The RAND Corporation, vol. 31(2), pages 294-325, Summer.
    15. 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.
    16. Robert Wilson, 2008. "Supply Function Equilibrium in a Constrained Transmission System," Operations Research, INFORMS, vol. 56(2), pages 369-382, April.
    17. Edward J. Anderson & Xinmin Hu, 2008. "Finding Supply Function Equilibria with Asymmetric Firms," Operations Research, INFORMS, vol. 56(3), pages 697-711, June.
    18. WEI, Jing-Yuan & SMEERS, Yves, 1999. "Spatial oligopolistic electricity models with Cournot generators and regulated transmission prices," LIDAM Reprints CORE 1454, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    19. 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.
    20. Hogan, William W, 1992. "Contract Networks for Electric Power Transmission," Journal of Regulatory Economics, Springer, vol. 4(3), pages 211-242, September.
    21. Severin Borenstein & James Bushnell & Christopher R. Knittel, 1999. "Market Power in Electricity Markets: Beyond Concentration Measures," The Energy Journal, International Association for Energy Economics, vol. 0(Number 4), pages 65-88.
    22. Neuhoff, Karsten & Barquin, Julian & Boots, Maroeska G. & Ehrenmann, Andreas & Hobbs, Benjamin F. & Rijkers, Fieke A.M. & Vazquez, Miguel, 2005. "Network-constrained Cournot models of liberalized electricity markets: the devil is in the details," Energy Economics, Elsevier, vol. 27(3), pages 495-525, May.
    23. Ramteen Sioshansi & Shmuel Oren, 2007. "How good are supply function equilibrium models: an empirical analysis of the ERCOT balancing market," Journal of Regulatory Economics, Springer, vol. 31(1), pages 1-35, February.
    24. 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.
    25. Ali Hortaçsu & Steven L. Puller, 2008. "Understanding strategic bidding in multi‐unit auctions: a case study of the Texas electricity spot market," RAND Journal of Economics, RAND Corporation, vol. 39(1), pages 86-114, March.
    26. A. Downward & G. Zakeri & A. B. Philpottt, 2010. "On Cournot Equilibria in Electricity Transmission Networks," Operations Research, INFORMS, vol. 58(4-part-2), pages 1194-1209, August.
    27. Albert S. Kyle, 1989. "Informed Speculation with Imperfect Competition," Review of Economic Studies, Oxford University Press, vol. 56(3), pages 317-355.
    28. Bert Willems, 2002. "Modeling Cournot Competition in an Electricity Market with Transmission Constraints," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 95-125.
    29. Robert Wilson, 1979. "Auctions of Shares," The Quarterly Journal of Economics, Oxford University Press, vol. 93(4), pages 675-689.
    30. Xinmin Hu & Daniel Ralph, 2007. "Using EPECs to Model Bilevel Games in Restructured Electricity Markets with Locational Prices," Operations Research, INFORMS, vol. 55(5), pages 809-827, October.
    31. 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.
    32. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
    33. Cho, In-Koo, 2003. "Competitive Equilibrium in a Radial Network," RAND Journal of Economics, The RAND Corporation, vol. 34(3), pages 438-460, Autumn.
    34. 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.
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    More about this item

    Keywords

    Spatial competition; Multi-unit auction; Supply Function Equilibrium; Trading network; Transmission network; Wholesale electricity markets;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • L91 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Transportation: General

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