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Bayesian Estimation of Demand Functions under Block Rate Pricing

Author

Listed:
  • Koji Miyawaki

    (Graduate School of Economics, University of Tokyo)

  • Yasuihro Omori

    (Faculty of Economics, University of Tokyo)

  • Akira Hibiki

    (National Institute for Environmental Studies and Department of Social Engineering, Tokyo Institute of Technology)

Abstract

This article proposes a Bayesian estimation method of demand functions under block rate pricing, focusing on increasing one. Under this pricing structure, price changes when consumption exceeds a certain threshold and the consumer faces a utility maximization problem subject to a piecewise-linear budget constraint. We apply the so-called discrete/continuous choice approach to derive the corresponding demand function. Taking a hierarchical Bayesian approach, we implement a Markov chain Monte Carlo simulation to estimate the demand function. Moreover, a separability condition is explicitly considered to obtain proper estimates. We find, however, that the convergence of the distribution of simulated samples to the posterior distribution is slow, requiring an additional scale transformation step for parameters to the Gibbs sampler. The model is also extended to allow random coefficients for panel data and spatial correlation for spatial data. These proposed methods are applied to estimate the Japanese residential water and electricity demand function.

Suggested Citation

  • Koji Miyawaki & Yasuihro Omori & Akira Hibiki, 2008. "Bayesian Estimation of Demand Functions under Block Rate Pricing," CIRJE F-Series CIRJE-F-568, CIRJE, Faculty of Economics, University of Tokyo.
    • Handle: RePEc:tky:fseres:2008cf568
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    Cited by:

    1. Henrique Monteiro, 2010. "Residential Water Demand in Portugal: checking for efficiency-based justifications for increasing block tariffs," Working Papers Series 1 ercwp0110, ISCTE-IUL, Business Research Unit (BRU-IUL).
    2. Koji Miyawaki & Yasuhiro Omori & Akira Hibiki, 2010. "Discrete/Continuous Choice Model of the Residential Gas Demand on the Nonconvex Budget Set," CIRJE F-Series CIRJE-F-770, CIRJE, Faculty of Economics, University of Tokyo.
    3. Koji Miyawaki & Yasuhiro Omori & Akira Hibiki, 2011. "Panel Data Analysis Of Japanese Residential Water Demand Using A Discrete/Continuous Choice Approach," The Japanese Economic Review, Japanese Economic Association, vol. 62(3), pages 365-386, September.
    4. 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.
    5. Kertous, Mourad & Zerzour, Sahad, 2015. "To pay or not to pay? Water bill and delay in payment in Bejaia (Algeria): A duration analysis," MPRA Paper 67801, University Library of Munich, Germany.
    6. Koji Miyawaki & Yasuhiro Omori & Akira Hibiki, 2018. "A discrete/continuous choice model on a nonconvex budget set," Econometric Reviews, Taylor & Francis Journals, vol. 37(2), pages 89-113, February.

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