Impact of some parameters on investments in oligopolistic electricity markets

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.

[1]  S. Sen,et al.  An analysis of capacity and price trajectories for the Ontario electricity market using dynamic Nash equilibrium under uncertainty , 2008 .

[2]  S. Stoft Power System Economics: Designing Markets for Electricity , 2002 .

[3]  María Sicilia Salvadores Projected Costs of Generating Electricity , 1998 .

[4]  M. Lijesen The real-time price elasticity of electricity , 2007 .

[5]  Y. Smeers,et al.  Stochastic equilibrium programming for dynamic oligopolistic markets , 1987 .

[6]  Pierre-Olivier Pineau,et al.  An Oligopolistic Electricity Market Model with Interdependent Segments , 2007 .

[7]  Yves Smeers,et al.  The EU regulation on cross-border trade of electricity: A two-stage equilibrium model , 2007, Eur. J. Oper. Res..

[8]  Felix Wu,et al.  A Game-Theoretic Model for Generation Expansion Planning: Problem Formulation and Numerical Comparisons , 2001, IEEE Power Engineering Review.

[9]  Georges Zaccour,et al.  S-Adapted Equilibria in Games Played over Event Trees: An Overview , 2005 .

[10]  M. Ventosa,et al.  Electricity market modeling trends , 2005 .

[11]  S. Sen,et al.  Dynamic Oligopolistic Games Under Uncertainty: A Stochastic Programming Approach , 2007 .

[12]  Pierre-Olivier Pineau,et al.  An Oligopolistic Investment Model of the Finnish Electricity Market , 2003, Ann. Oper. Res..

[13]  Harri Ehtamo,et al.  Differential Games — Developments in Modelling and Computation , 1991 .

[14]  M. Thring World Energy Outlook , 1977 .

[15]  Bridger M. Mitchell,et al.  Design of the Los Angeles Peak-Load Pricing Experiment for Electricity , 1979 .

[16]  R. Gibrat,et al.  Application of Linear Programming to Investments in the Electric Power Industry , 1957 .

[17]  Mariano Ventosa,et al.  EXPANSION PLANNING IN ELECTRICITY MARKETS. TWO DIFFERENT APPROACHES , 2002 .

[18]  E. Dockner,et al.  Differential Games in Economics and Management Science: Basic concepts of game theory , 2000 .

[19]  Pierre Desprairies,et al.  World Energy Outlook , 1977 .

[20]  M. Filippini Electricity demand by time of use An application of the household AIDS model , 1995 .

[21]  Agence pour l'Energie Nucléaire Projected Costs of Generating Electricity 2005 , 2005 .

[22]  Jian Yao,et al.  Two-settlement electricity markets with price caps and Cournot generation firms , 2007, Eur. J. Oper. Res..

[23]  Adam B. Borison,et al.  A State-of-the-World Decomposition Approach to Dynamics and Uncertainty in Electric Utility Generation Expansion Planning , 1984, Oper. Res..

[24]  V. Nanduri,et al.  Game theoretic approach for generation capacity expansion in restructured power markets , 2008, 2008 IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century.

[25]  Jorge Valenzuela,et al.  Oligopoly models for market price of electricity under demand uncertainty and unit reliability , 2007, Eur. J. Oper. Res..

[26]  Pierre-Olivier Pineau,et al.  A perspective on the restructuring of the Finnish electricity market , 2000 .

[27]  Gideon Kruseman,et al.  Long-term price and environmental effects in a liberalised electricity market , 2008 .

[28]  Dean C. Mountain,et al.  Some initial evidence of Canadian responsiveness to time-of-use electricity rates: Detailed daily and monthly analysis , 1995 .

[29]  Y. Ye,et al.  Minimal adjustment costs, factor demands, and seasonal time-of-use electricity rates☆ , 1993 .

[30]  D. Newbery Privatization, Restructuring, and Regulation of Network Utilities , 2000 .

[31]  C. Kemfert,et al.  A game theoretic model of the Northwestern European electricity market--market power and the environment , 2006 .

[32]  Dominik Möst,et al.  A survey of stochastic modelling approaches for liberalised electricity markets , 2010, Eur. J. Oper. Res..

[33]  Edythe S. Miller Privatization, Restructuring, and Regulation of Network Utilities , 2001 .

[34]  Dennis J. Aigner,et al.  The Response of Small and Medium-Size Business Customers to Time-of-Use (TOU) Electricity Rates in Israel , 1994 .

[35]  Steven A. Gabriel,et al.  Solving stochastic complementarity problems in energy market modeling using scenario reduction , 2009, Eur. J. Oper. Res..

[36]  I. Wangensteen,et al.  Stochastic generation expansion planning by means of stochastic dynamic programming , 1991 .

[37]  Eugeniusz Toczylowski,et al.  A new pricing scheme for a multi-period pool-based electricity auction , 2009, Eur. J. Oper. Res..

[38]  J. Bloom Long-Range Generation Planning Using Decomposition and Probabilistic Simulation , 1982, IEEE Transactions on Power Apparatus and Systems.

[39]  I. Matsukawa Household Response to Optional Peak-Load Pricing of Electricity , 2001 .

[40]  J. Bushnell,et al.  An Equilibrium Model of Investment in Restructured Electricity Markets , 2007 .

[41]  Benjamin F. Hobbs,et al.  Optimization methods for electric utility resource planning , 1995 .

[42]  G. Zaccour,et al.  A Dynamic Oligopolistic Electricity Market Model with Interdependent Segments , 2009 .

[43]  Frederic H. Murphy,et al.  Generation Capacity Expansion in Imperfectly Competitive Restructured Electricity Markets , 2005, Oper. Res..

[44]  Alain Haurie,et al.  A game programming approach to efficient management of interconnected power networks , 1991 .

[45]  Yves Smeers,et al.  Capacity Expansion in Non-Regulated Electricity Markets , 2006, Proceedings of the 39th Annual Hawaii International Conference on System Sciences (HICSS'06).