Supply Function Nash Equilibrium Considering Stochastic Demand Function

확률적 수요함수를 고려한 공급함수의 전략변수 내쉬균형 연구

  • Published : 2008.01.01

Abstract

A bid-based pool(BBP) model is representative of energy market structure in a number of restructured electricity markets. Supply function equilibrium(SFE) models of interaction better match what is explicitly required in the bid formats of typical BBP markets. Many of the results in the SFE literature involve restrictive parametrization of the bid cost functions. In the SFE models, two parameters, intercept and slope, are available for strategic bidding. This paper addresses the realistic competition format that players can choose both parameters arbitrarily. In a fixed demand function, equilibrium conditions for generation company's profit maximization have a degree of freedom, which induces multi-equilibrium. So it is hard to choose a convergent equilibrium. However, consideration of stochastic demand function makes the equilibrium conditions independent each other based on the amount of variance of stochastic demand function. This variance provides the bidding players with incentives to change the slope parameter from an equilibrium for a fixed demand function until the slope parameter equilibrium.

Keywords

References

  1. 한국전력공사, 경쟁적인 전력시장에서 발전경쟁력 분석 연구, 경영경제연구소, 2000. 12
  2. Paul D. Klemperer and Margaret A. Meyer, "Supply function equilibria in oligopoly under uncertainty," Econometrica, vol.57, no. 6, pp. 1243-1277, November 1989 https://doi.org/10.2307/1913707
  3. C. A. Berry, B. F. Hobbs, and W. A. Meroney, "Understanding How Market Power Can Arise in Network Competition: A game theoretic approach," Utility Policy, Vol.8, pp.139-158, 1999 https://doi.org/10.1016/S0957-1787(99)00016-8
  4. B.F. Hobbs, "Linear complementarity model models of Nash-Cournot competition in bilateral and POOLCO power market," IEEE Trans. Power Syst., Vol.16, No.2, pp.194-202, May 2001 https://doi.org/10.1109/59.918286
  5. J.D. Weber and T.J. Overbye, "An individual welfare maximization algorithm for electricity markets," IEEE Trans. Power Syst., Vol.17, No.3, pp.590-596, Aug. 2002 https://doi.org/10.1109/TPWRS.2002.800899
  6. 조철희, 이광호, "전력시장 입찰함수모형에서 입찰 파라 미터 선택에 관한 연구," 전기학회논문지, 53A권, 11호, pp.630-635. 2004. 11
  7. R. Baldick, "Electricity market equilibrium models: the effect of parametrization," IEEE Trans. Power Syst., Vol.17, No.4, pp.1170-1176, Nov. 2002 https://doi.org/10.1109/TPWRS.2002.804956
  8. H. Niu, R. Baldick, and G. Zhu, "Supply Function Equilibrium Strategies with Fixed Forward Contracts," IEEE Trans. Power Syst., Vol.20, No.4, pp.1859-1863, Nov. 2002 https://doi.org/10.1109/TPWRS.2005.857272
  9. Roy Gardner, Games for Business and Economics, John Wiley& Sons, Inc. 2003
  10. D.W. Carlton, and J.M. Perloff, Modern Industrial Organization, Addison-Wesley, 2000