Skip to main content
Log in

Peak-load pricing and reliability under uncertainty

  • Published:
Journal of Regulatory Economics Aims and scope Submit manuscript

Abstract

This paper develops the welfare foundations of peak-load pricing under uncertainty, building on Brown and Johnson (1969), Crew and Kleindorfer (1976), and Chao (1983). The context is that of a welfare-maximizing public enterprise facing uncertain and nondeferrable demand, and uncertain supply. The paper first describes various elements of outage cost, including rationing costs, disruption costs, and surplus losses due to unsatisfied demand. Exact welfare-optimal results are then derived, in contrast to the earlier approximations by Turvey and Anderson (1977) and Chao (1983). The results are generalized to take account of diverse technologies and multiple planning periods, and their implications for utility pricing and investment in an integrated resource planning context are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Andersson, R. and L. Taylor. 1986. “The Social Cost of Unsupplied Electricity: A Critical Review.”Energy Economics 139–46.

  • Ault, R.W. and R.B. Ekelund. 1987. “The Problem of Unnecessary Originality in Economics.”Southern Economic Journal 53(3): 650–61.

    Google Scholar 

  • Boiteux, Marcel. 1960. “La Tarification des demandes en point: application de las theorie de la vente au cout marginal.”Revue Generale de l'Electicite 58 (August 1949): 321–40; translated as “Peak Load Pricing.”Journal of Business 33:157-79.

    Google Scholar 

  • Boiteux, M. 1951. “La Tarification au cout marginal et les demandes aleatoires.”Cahiers du Seminaire d'Econometric 1: 56–69.

    Google Scholar 

  • Bohn, R., M. Caramanis and F. Schweppe. 1984. “Optimal Pricing in Electrical Networks over Space and Time.”Rand Journal of Economics 15(3): 360–376.

    Google Scholar 

  • Brown, B., Jr. and M.B. Johnson. 1969. “Public Utility Pricing and Output Under Risk.”American Economic Review 59:119–29.

    Google Scholar 

  • Brown, S.J. and D. Sibley. 1986.The Theory of Public Utility Pricing. Cambridge University Press.

  • Bye, R.T. 1929. “Composite Demand and Joint Supply in Relation to Public Utility Rates.”Quarterly Journal of Economics 40–62.

  • Carlton, D.W. 1977. “Peak Load Pricing with Stochastic Demands.”American Economic Review 67(5): 1006–10.

    Google Scholar 

  • Coate, S. and J. Panzar. 1989. “Public Utility Pricing and Capacity Choice Under Risk: A Rational Expectations Approach.”Journal of Regulatory Economics 1(4).

  • Chao, H-P. 1983. “Peak Load Pricing and Capacity Planning with Demand and Supply Uncertainty.”Bell Journal of Economics 14:170–90.

    Google Scholar 

  • Chao, H-P. and R. Wilson. 1987. “Priority Service: Pricing, Investment and Market Organization.”American Economic Review 77(4): 899–916.

    Google Scholar 

  • Crew, M.A. and P.R. Kleindorfer. 1976. “Peak Load Pricing with a Diverse Technology.”Bell Journal of Economics 7: 207–31.

    Google Scholar 

  • Crew, M.A. and P.R. Kleindorfer. 1978. “Reliability and Public Utility Pricing,”American Economic Review 68: 31–40.

    Google Scholar 

  • Crew, M.A. and P.R. Kleindorfer. 1986.The Economics of Public Utility Regulation. London: MacMillan.

    Google Scholar 

  • Kahn, A.E. 1988.The Economics of Regulation: Principles and Institutions. Cambridge, MA: MIT Press.

    Google Scholar 

  • Kleindorfer, P.R. 1977, “Turvey and Anderson'sElectricity Economics.”Book Review in Bell Journal of Economics. 8(2): 624–626.

    Google Scholar 

  • Lee, Seong-Uh. 1992. “Welfare Optimal Price and Capacity Selection under an Ex Ante Maximum Demand Charge.” Working paper, Korea Institute of Public Administration, Seoul, Korea. Forthcoming inJournal of Regulatory Economics.

    Google Scholar 

  • Marchand, M.G. 1974. “Pricing Power Supplied on an Interruptible Basis.”European Economic Review 5: 263–274.

    Google Scholar 

  • Munasinghe, M. and A. Sanghvi. 1988. “Reliability of Electricity Supply, Outage Costs and Value of Service: an Overview.”Energy Journal 9: Special Reliability Issue.

  • Panzar, J.C. and D.S. Sibley. 1978. “Public Utility Pricing under Risk: The Case of Self-Rationing.”American Economic Review 68: 888–95.

    Google Scholar 

  • Poland, W.B. 1988. “The Importance of Including Uncertainties in Economic Generation Reliability Planning.”Energy Journal 9: Special Reliability Issue.

  • Ruff, Larry E. 1988. “Least-Cost Planning and Demand Side Management: Six Common Fallacies and One Simple Truth.”Public Utilities Fortnightly. 121(9): 19–26.

    Google Scholar 

  • Schwartz, P.M. and T.N. Taylor. 1987. “Public Utility Pricing under Risk: The Case of Self-Rationing: Comment and Extension.”American Economic Review 77: 734–39.

    Google Scholar 

  • Sherman, R. and M. Visscher. 1978. “Second Best Pricing with Stochastic Demand.”American Economic Review. 68(1).

  • Smith, Vernon. 1962. “An Experimental Study of Competitive Market Behavior.”Journal of Political Economy. LXX(2).

  • Spulber, D.F. 1992. “Capacity-Contingent Nonlinear Pricing by Regulated Firms.” forthcoming inJournal of Regulatory Economics.

  • Telson, M. 1975. “The Economics of Alternative Levels of Reliability for Electric Power Generation Systems.”Bell Journal of Economics. 6: 679–94.

    Google Scholar 

  • Turvey, R. and D. Anderson. 1977.Electricity Economics: Essays and Case Studies. Baltimore: Johns Hopkins University Press.

    Google Scholar 

  • Visscher, M. 1973. “Welfare-Maximizing Price and Output with Stochastic Demand: Comment”American Economic Review 63: 224–29.

    Google Scholar 

  • Wilson, R. 1989. “Efficient and Competitive Rationing.”Econometrica 57: 1–40.

    Google Scholar 

  • Woo, C.K. 1990. “Efficient Electricity Pricing with Rationing.”Journal of Regulatory Economics 2(1): 69–81.Notes

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kleindorfer, P.R., Fernando, C.S. Peak-load pricing and reliability under uncertainty. J Regul Econ 5, 5–23 (1993). https://doi.org/10.1007/BF01066311

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01066311

Keywords

Navigation