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Duality-Based Analysis of Residential Gas Demand under Decreasing Block Rate Pricing

Author

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  • Koji Miyawaki

    (Graduate School of Economics, University of Tokyo)

  • Yasuhiro Omori

    (Faculty of Economics, University of Tokyo)

Abstract

This paper discusses a novel estimation method for the residential gas demand function in Japan where the price per unit decreases as the demand exceeds certain thresholds. Such a price system is known as decreasing block rate pricing. The demand function under decreasing block rate pricing is derived by using the well-known discrete/continuous choice approach. However, because of the nonconvex budget set, the conventional approach imposes highly nonlinear constraints on the model parameters, thus making the maximization of the likelihood function under such constraints difficult to implement. To overcome this difficulty, we first apply the duality relationship in consumer theory, and approximate the conditional expenditure in order to linearize these nonlinear constraints. Then, we adopt a Bayesian approach with the Markov chain Monte Carlo simulation in order to estimate the model parameters under linear constraints. Our proposed method is illustrated by a numerical example and is adopted to analyze the demand for residential gas in Japan.

Suggested Citation

  • Koji Miyawaki & Yasuhiro Omori, 2007. "Duality-Based Analysis of Residential Gas Demand under Decreasing Block Rate Pricing," CIRJE F-Series CIRJE-F-506, CIRJE, Faculty of Economics, University of Tokyo.
    • Handle: RePEc:tky:fseres:2007cf506
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    References listed on IDEAS

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    1. Chib, Siddhartha, 2001. "Markov chain Monte Carlo methods: computation and inference," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 57, pages 3569-3649, Elsevier.
    2. Koji Miyawaki & Yasuhiro Omori & Akira Hibiki, 2006. "Bayesian Estimation of Demand Functions under Block Rate Pricing," CIRJE F-Series CIRJE-F-424, CIRJE, Faculty of Economics, University of Tokyo.
    3. Dubin, Jeffrey A & McFadden, Daniel L, 1984. "An Econometric Analysis of Residential Electric Appliance Holdings and Consumption," Econometrica, Econometric Society, vol. 52(2), pages 345-362, March.
    4. Burtless, Gary & Moffitt, Robert A, 1985. "The Joint Choice of Retirement Age and Postretirement Hours of Work," Journal of Labor Economics, University of Chicago Press, vol. 3(2), pages 209-236, April.
    5. Irvine, Ian J & Sims, William A, 1998. "Measuring Consumer Surplus with Unknown Hicksian Demands," American Economic Review, American Economic Association, vol. 88(1), pages 314-322, March.
    6. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    7. Baker, Paul & Blundell, Richard & Micklewright, John, 1989. "Modelling Household Energy Expenditures Using Micro-data," Economic Journal, Royal Economic Society, vol. 99(397), pages 720-738, September.
    8. Lee, Ray-Shine & Singh, Nirvikar, 1994. "Patterns in Residential Gas and Electricity Consumption: An Econometric Analysis," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 233-241, April.
    9. Baumol,William J. & Oates,Wallace E., 1988. "The Theory of Environmental Policy," Cambridge Books, Cambridge University Press, number 9780521322249.
    10. Olmstead, Sheila M. & Michael Hanemann, W. & Stavins, Robert N., 2007. "Water demand under alternative price structures," Journal of Environmental Economics and Management, Elsevier, vol. 54(2), pages 181-198, September.
    11. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762, September.
    12. Hausman, Jerry A, 1985. "The Econometrics of Nonlinear Budget Sets," Econometrica, Econometric Society, vol. 53(6), pages 1255-1282, November.
    13. Jerry A. Hausman, 1980. "The Effect of Wages, Taxes, and Fixed Costs on Women's Labor Force Participation," NBER Chapters, in: Econometric Studies in Public Finance, pages 161-194, National Bureau of Economic Research, Inc.
    14. Soren Blomquist & Whitney Newey, 2002. "Nonparametric Estimation with Nonlinear Budget Sets," Econometrica, Econometric Society, vol. 70(6), pages 2455-2480, November.
    15. Julie A. Hewitt & W. Michael Hanemann, 1995. "A Discrete/Continuous Choice Approach to Residential Water Demand under Block Rate Pricing," Land Economics, University of Wisconsin Press, vol. 71(2), pages 173-192.
    16. De Jong, G. C., 1990. "An indirect utility model of car ownership and private car use," European Economic Review, Elsevier, vol. 34(5), pages 971-985, July.
    17. Peter C. Reiss & Matthew W. White, 2005. "Household Electricity Demand, Revisited," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(3), pages 853-883.
    18. Hausman, Jerry A, 1981. "Exact Consumer's Surplus and Deadweight Loss," American Economic Review, American Economic Association, vol. 71(4), pages 662-676, September.
    19. Kenneth E. Train, 1991. "Optimal Regulation: The Economic Theory of Natural Monopoly," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200848, April.
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