IDEAS home Printed from
   My bibliography  Save this article

Impact of some parameters on investments in oligopolistic electricity markets


  • Pineau, Pierre-Olivier
  • Rasata, Hasina
  • Zaccour, Georges


It is seldom the case that one has the opportunity to compare investments as projected by a long-term multi-period model to what is eventually realized in practice. Further, although sensitivity analysis is of common use in any optimization setting, the impact of some parameters on strategic investments is not yet fully assessed in the context of the deregulated electricity industry. Starting with a benchmark model of the Finnish industry, we precisely explore the impact on equilibrium investments of varying such parameters as direct- and cross-price elasticities, length of the planning horizon and the depreciation rate of capacity. We run the model with different parameter values and compare the predicted equilibrium with what companies have actually done. The model is a stochastic dynamic game involving three players and played over a ten-year period. Our results show the depreciation rate and the planning horizon have a notable effect on investment levels, whereas price elasticities seem to play a lesser role. Although the model's results are rather well aligned to total industry investments, it diverges from individual levels. This may be due to the cost parameter used and/or to the open-loop information structure adopted in the computations. In any event, these results should be of methodological and practical interest to scholars and practitioners involved in strategic investment in the electricity industry.

Suggested Citation

  • Pineau, Pierre-Olivier & Rasata, Hasina & Zaccour, Georges, 2011. "Impact of some parameters on investments in oligopolistic electricity markets," European Journal of Operational Research, Elsevier, vol. 213(1), pages 180-195, August.
  • Handle: RePEc:eee:ejores:v:213:y:2011:i:1:p:180-195

    Download full text from publisher

    File URL:
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    1. Genc, Talat S. & Reynolds, Stanley S. & Sen, Suvrajeet, 2007. "Dynamic oligopolistic games under uncertainty: A stochastic programming approach," Journal of Economic Dynamics and Control, Elsevier, vol. 31(1), pages 55-80, January.
    2. Aigner, D J & Newman, J & Tishler, A, 1994. "The Response of Small and Medium-Size Business Customers to Time-of-Use (TOU) Electricity Rates in Israel," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 9(3), pages 283-304, July-Sept.
    3. Yao, Jian & Oren, Shmuel S. & Adler, Ilan, 2007. "Two-settlement electricity markets with price caps and Cournot generation firms," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1279-1296, September.
    4. Gabriel, Steven A. & Zhuang, Jifang & Egging, Ruud, 2009. "Solving stochastic complementarity problems in energy market modeling using scenario reduction," European Journal of Operational Research, Elsevier, vol. 197(3), pages 1028-1040, September.
    5. Lise, Wietze & Kruseman, Gideon, 2008. "Long-term price and environmental effects in a liberalised electricity market," Energy Economics, Elsevier, vol. 30(2), pages 230-248, March.
    6. Pineau, Pierre-Olivier & Hamalainen, Raimo P., 2000. "A perspective on the restructuring of the Finnish electricity market," Energy Policy, Elsevier, vol. 28(3), pages 181-192, March.
    7. Toczylowski, Eugeniusz & Zoltowska, Izabela, 2009. "A new pricing scheme for a multi-period pool-based electricity auction," European Journal of Operational Research, Elsevier, vol. 197(3), pages 1051-1062, September.
    8. P. Massé & R. Gibrat, 1957. "Application of Linear Programming to Investments in the Electric Power Industry," Management Science, INFORMS, vol. 3(2), pages 149-166, January.
    9. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    10. Ventosa, Mariano & Baillo, Alvaro & Ramos, Andres & Rivier, Michel, 2005. "Electricity market modeling trends," Energy Policy, Elsevier, vol. 33(7), pages 897-913, May.
    11. Matsukawa, Isamu, 2001. "Household Response to Optional Peak-Load Pricing of Electricity," Journal of Regulatory Economics, Springer, vol. 20(3), pages 249-267, November.
    12. Tishler, A. & Ye, Y., 1993. "Minimal adjustment costs, factor demands, and seasonal time-of-use electricity rates," Resource and Energy Economics, Elsevier, vol. 15(3), pages 313-335, September.
    13. Pierre-Olivier Pineau & Georges Zaccour, 2007. "An Oligopolistic Electricity Market Model with Interdependent Segments," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 165-186.
    14. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, August.
    15. Daxhelet, O. & Smeers, Y., 2007. "The EU regulation on cross-border trade of electricity: A two-stage equilibrium model," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1396-1412, September.
    16. Manning, Williard Jr. & Mitchell, Bridger M. & Acton, Jan Paul, 1979. "Design of the Los Angeles peak-load pricing experiment for electricity," Journal of Econometrics, Elsevier, vol. 11(1), pages 131-194, September.
    17. Filippini, Massimo, 1995. "Electricity demand by time of use An application of the household AIDS model," Energy Economics, Elsevier, vol. 17(3), pages 197-204, July.
    18. Lijesen, Mark G., 2007. "The real-time price elasticity of electricity," Energy Economics, Elsevier, vol. 29(2), pages 249-258, March.
    19. Pierre-Olivier Pineau & Hasina Rasata & Georges Zaccour, 2011. "A Dynamic Oligopolistic Electricity Market with Interdependent Market Segments," The Energy Journal, International Association for Energy Economics, vol. 0(Number 4), pages 183-218.
    20. Hobbs, Benjamin F., 1995. "Optimization methods for electric utility resource planning," European Journal of Operational Research, Elsevier, vol. 83(1), pages 1-20, May.
    21. Wang, Lizhi & Mazumdar, Mainak & Bailey, Matthew D. & Valenzuela, Jorge, 2007. "Oligopoly models for market price of electricity under demand uncertainty and unit reliability," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1309-1321, September.
    22. Möst, Dominik & Keles, Dogan, 2010. "A survey of stochastic modelling approaches for liberalised electricity markets," European Journal of Operational Research, Elsevier, vol. 207(2), pages 543-556, December.
    23. Mountain, Dean C. & Lawson, Evelyn L., 1995. "Some initial evidence of Canadian responsiveness to time-of-use electricity rates: Detailed daily and monthly analysis," Resource and Energy Economics, Elsevier, vol. 17(2), pages 189-212, August.
    24. Genc, Talat S. & Sen, Suvrajeet, 2008. "An analysis of capacity and price trajectories for the Ontario electricity market using dynamic Nash equilibrium under uncertainty," Energy Economics, Elsevier, vol. 30(1), pages 173-191, January.
    25. Lise, Wietze & Linderhof, Vincent & Kuik, Onno & Kemfert, Claudia & Ostling, Robert & Heinzow, Thomas, 2006. "A game theoretic model of the Northwestern European electricity market--market power and the environment," Energy Policy, Elsevier, vol. 34(15), pages 2123-2136, October.
    Full references (including those not matched with items on IDEAS)


    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.

    Cited by:

    1. Parilina, Elena & Sedakov, Artem & Zaccour, Georges, 2017. "Price of anarchy in a linear-state stochastic dynamic game," European Journal of Operational Research, Elsevier, vol. 258(2), pages 790-800.
    2. Esmaili, Masoud & Shayanfar, Heidar Ali & Moslemi, Ramin, 2014. "Locating series FACTS devices for multi-objective congestion management improving voltage and transient stability," European Journal of Operational Research, Elsevier, vol. 236(2), pages 763-773.
    3. Filomena, Tiago Pascoal & Campos-Náñez, Enrique & Duffey, Michael Robert, 2014. "Technology selection and capacity investment under uncertainty," European Journal of Operational Research, Elsevier, vol. 232(1), pages 125-136.
    4. repec:eee:ejores:v:269:y:2018:i:2:p:661-681 is not listed on IDEAS
    5. repec:eee:ejores:v:267:y:2018:i:3:p:1039-1050 is not listed on IDEAS
    6. repec:spr:joptap:v:175:y:2017:i:1:d:10.1007_s10957-017-1148-6 is not listed on IDEAS
    7. repec:eee:bracre:v:50:y:2018:i:5:p:481-496 is not listed on IDEAS
    8. Genc, Talat S. & De Giovanni, Pietro, 2018. "Optimal return and rebate mechanism in a closed-loop supply chain game," European Journal of Operational Research, Elsevier, vol. 269(2), pages 661-681.
    9. Schröder, Andreas, 2012. "An Electricity Market Model with Generation Capacity Investment under Uncertainty," Annual Conference 2012 (Goettingen): New Approaches and Challenges for the Labor Market of the 21st Century 62068, Verein für Socialpolitik / German Economic Association.
    10. Miguel Pérez de Arce and Enzo Sauma, 2016. "Comparison of Incentive Policies for Renewable Energy in an Oligopolistic Market with Price-Responsive Demand," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3).


    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:eee:ejores:v:213:y:2011:i:1:p:180-195. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.