IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v47y1999i1p102-112.html
   My bibliography  Save this article

Spatial Oligopolistic Electricity Models with Cournot Generators and Regulated Transmission Prices

Author

Listed:
  • Wei Jing-Yuan

    (CORE, Université Catholique de Louvain, Louvain-la-Neuve, Belgium)

  • Yves Smeers

    (CORE, Université Catholique de Louvain, Louvain-la-Neuve, Belgium)

Abstract

An oligopoly with spatially dispersed generators and consumers and with multi-period demand is modeled in this paper. The producers are assumed to behave in a Cournot manner with regulated transmission prices. A (generalized) Nash equilibrium is sought. The story of the game is as follows. Each generator takes its rivals' output (generation, supply, and flows) and the prices for transmission services as fixed when it decides upon its output to maximize its profit; the transmission firm takes the quantities of transmission services demanded by the generators as fixed when it determines the transmission prices according to certain regulatory rules. An equilibrium of the model is a set of generation output at which no generator will obtain more profit if it unilaterally modifies its output from this set, and a set of transmission prices satisfying certain regulatory requirements. A variational inequality approach is used for computing the equilibria of the model. Using the same approach, two variants of the model, respectively based on average-cost and marginal-cost pricing for transmission services, are also formulated. This model is applied to simulate a long-run electricity market where transmission prices are regulated.

Suggested Citation

  • Wei Jing-Yuan & Yves Smeers, 1999. "Spatial Oligopolistic Electricity Models with Cournot Generators and Regulated Transmission Prices," Operations Research, INFORMS, vol. 47(1), pages 102-112, February.
    • Handle: RePEc:inm:oropre:v:47:y:1999:i:1:p:102-112
    DOI: 10.1287/opre.47.1.102
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.47.1.102
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.47.1.102?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Hung-po Chao & Stephen Peck, 1997. "An Institutional Design for an Electricity Contract Market with Central Dispatch," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 85-110.
    2. 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.
    3. Benjamin F. Hobbs, 1986. "Network Models of Spatial Oligopoly with an Application to Deregulation of Electricity Generation," Operations Research, INFORMS, vol. 34(3), pages 395-409, June.
    4. Hogan, William W, 1992. "Contract Networks for Electric Power Transmission," Journal of Regulatory Economics, Springer, vol. 4(3), pages 211-242, September.
    5. Jeremy A. Bloom & Michael Caramanis & Leonid Charny, 1984. "Long-Range Generation Planning Using Generalized Benders' Decomposition: Implementation and Experience," Operations Research, INFORMS, vol. 32(2), pages 290-313, April.
    6. 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.
    7. Harker, Patrick T., 1991. "Generalized Nash games and quasi-variational inequalities," European Journal of Operational Research, Elsevier, vol. 54(1), pages 81-94, September.
    8. Hobbs, Benjamin F. & Kelly, Kevin A., 1992. "Using game theory to analyze electric transmission pricing policies in the United States," European Journal of Operational Research, Elsevier, vol. 56(2), pages 154-171, January.
    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. d'Aspremont, C & Ferreira, R Dos Santos & Gerard-Varet, L-A, 1991. "Pricing Schemes and Cournotian Equilibria," American Economic Review, American Economic Association, vol. 81(3), pages 666-673, June.
    11. Richard Schmalensee & Bennett W. Golub, 1984. "Estimating Effective Concentration in Deregulated Wholesale Electricity Markets," RAND Journal of Economics, The RAND Corporation, vol. 15(1), pages 12-26, Spring.
    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. 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.
    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. Patrick T. Harker, 1986. "Alternative Models of Spatial Competition," Operations Research, INFORMS, vol. 34(3), pages 410-425, June.
    16. Hobbs, Benjamin F, 1986. "Mill Pricing versus Spatial Price Discrimination under Bertrand and Cournot Spatial Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 35(2), pages 173-191, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Cardell, Judith B. & Hitt, Carrie Cullen & Hogan, William W., 1997. "Market power and strategic interaction in electricity networks," Resource and Energy Economics, Elsevier, vol. 19(1-2), pages 109-137, March.
    2. Rajnish Kamat & Shmuel Oren, 2004. "Two-settlement Systems for Electricity Markets under Network Uncertainty and Market Power," Journal of Regulatory Economics, Springer, vol. 25(1), pages 5-37, January.
    3. Pär Holmberg & Andy Philpott, 2014. "Supply function equilibria in transportation networks," Cambridge Working Papers in Economics 1421, Faculty of Economics, University of Cambridge.
    4. Holmberg, Pär & Philpott, Andrew, 2012. "Supply Function Equilibria in Networks with Transport Constraints," Working Paper Series 945, Research Institute of Industrial Economics, revised 10 Aug 2015.
    5. Xinmin Hu & Daniel Ralph & Eric K. Ralph & Peter Bardsley & Michael C. Ferris, 2004. "Electricity Generation with Looped Transmission Networks: Bidding to an ISO," Working Papers EP65, Energy Policy Research Group, Cambridge Judge Business School, University of Cambridge.
    6. 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.
    7. Doucet, Joseph A. & Heyes, Anthony G., 1997. "Restructuring of Ontario's electricity supply system: an analysis of the proposals," Utilities Policy, Elsevier, vol. 6(4), pages 271-281, December.
    8. Hu, X. & Ralph, R., 2006. "Using EPECs to model bilevel games in restructured electricity markets with locational prices," Cambridge Working Papers in Economics 0619, Faculty of Economics, University of Cambridge.
    9. Guido Pepermans & Bert Willems, 2005. "The Potential Impact of Cross-Ownership in Transmission: an Application to the Belgian Electricity Market," Working Papers of Department of Economics, Leuven ces0503, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    10. 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.
    11. Sulamaa, Pekka, . "Essays in Deregulated Finnish and Nordic Electricity Markets," ETLA A, The Research Institute of the Finnish Economy, number 34, June.
    12. Guido Pepermans & Bert Willems, 2004. "Ramsey Pricing in a Congested Network with Market Power in Generation: A Numerical Illustration for Belgium," Energy, Transport and Environment Working Papers Series ete0408, KU Leuven, Department of Economics - Research Group Energy, Transport and Environment.
    13. DAXHELET, Olivier & SMEERS, Yves, 1999. "Variational inequality models of restructured electricity systems," LIDAM Discussion Papers CORE 1999066, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    14. Paul Twomey & Richard Green & Karsten Neuhoff & David Newbery, 2005. "A Review of the Monitoring of Market Power: The Possible Roles of TSOs in Monitoring for Market Power Issues in Congested Transmission Systems," Working Papers 0502, Massachusetts Institute of Technology, Center for Energy and Environmental Policy Research.
    15. Holmberg, P. & Philpott, A.B., 2018. "On supply-function equilibria in radial transmission networks," European Journal of Operational Research, Elsevier, vol. 271(3), pages 985-1000.
    16. 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.
    17. Fiuza de Bragança, Gabriel Godofredo & Daglish, Toby, 2016. "Can market power in the electricity spot market translate into market power in the hedge market?," Energy Economics, Elsevier, vol. 58(C), pages 11-26.
    18. Bonacina, Monica & Gulli`, Francesco, 2007. "Electricity pricing under "carbon emissions trading": A dominant firm with competitive fringe model," Energy Policy, Elsevier, vol. 35(8), pages 4200-4220, August.
    19. Matthias Janssen & Magnus Wobben, "undated". "Electricity Pricing and Market Power - Evidence from Germany," Working Papers 200121, Institute of Spatial and Housing Economics, Munster Universitary.
    20. Andreas Ehrenmann & Karsten Neuhoff, 2009. "A Comparison of Electricity Market Designs in Networks," Operations Research, INFORMS, vol. 57(2), pages 274-286, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:oropre:v:47:y:1999:i:1:p:102-112. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.