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Modeling Corner Solutions with Panel Data: Application to the Industrial Energy Demand in France

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  • Bousquet, Alain
  • Chakir, Raja
  • Ladoux, Norbert

Abstract

This paper provides an empirical application of Lee and Pitt's (1986) approach to the problem of corner solutions in the case of panel data. This model deals with corner solutions in a manner consistent with the firm behavior theory while controlling for unobserved heterogeneity. In this model, energy demand at industrial plant level is the result of a discrete choice of the type of the energy to be consumed and a continuous choice that defines the level of demand. The econometric model is, essentially, an endogenous switching regime model which requires the evaluation of multivariate probability integrals. We estimate the random effect model by maximum likelihood using a panel of industrial French plants from the paper and pulp industry. We calculate empirical price elasticities of energy demand from the model. We also study the effects on energy demand of an environmental policy aimed at reducing CO2 emissions.
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Suggested Citation

  • Bousquet, Alain & Chakir, Raja & Ladoux, Norbert, 2003. "Modeling Corner Solutions with Panel Data: Application to the Industrial Energy Demand in France," IDEI Working Papers 230, Institut d'Économie Industrielle (IDEI), Toulouse.
    • Handle: RePEc:ide:wpaper:575
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    References listed on IDEAS

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    2. Gülsüm Akarsu, 2017. "Analyzing the impact of oil price volatility on electricity demand: the case of Turkey," Eurasian Economic Review, Springer;Eurasia Business and Economics Society, vol. 7(3), pages 371-388, December.
    3. Bousquet, Alain & Ladoux, Norbert, 2006. "Flexible versus designated technologies and interfuel substitution," Energy Economics, Elsevier, vol. 28(4), pages 426-443, July.
    4. Millimet, Daniel L. & Tchernis, Rusty, 2008. "Estimating high-dimensional demand systems in the presence of many binding non-negativity constraints," Journal of Econometrics, Elsevier, vol. 147(2), pages 384-395, December.
    5. Nitin Mehta, 2015. "A Flexible Yet Globally Regular Multigood Demand System," Marketing Science, INFORMS, vol. 34(6), pages 843-863, November.
    6. Bölük, Gülden & Koç, A. Ali, 2010. "Electricity demand of manufacturing sector in Turkey: A translog cost approach," Energy Economics, Elsevier, vol. 32(3), pages 609-615, May.
    7. repec:bge:wpaper:391 is not listed on IDEAS
    8. Koutchade, Obafèmi Philippe & Carpentier, Alain & Femenia, Fabienne, 2015. "Corner solutions in empirical acreage choice models: an andogeneous switching regime approach with regime fixed cost," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 206060, Agricultural and Applied Economics Association.
    9. Rosario Crinò, 2010. "Service Offshoring and White-Collar Employment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(2), pages 595-632.
    10. Vithala R. Rao & Gary J. Russell & Hemant Bhargava & Alan Cooke & Tim Derdenger & Hwang Kim & Nanda Kumar & Irwin Levin & Yu Ma & Nitin Mehta & John Pracejus & R. Venkatesh, 2018. "Emerging Trends in Product Bundling: Investigating Consumer Choice and Firm Behavior," Customer Needs and Solutions, Springer;Institute for Sustainable Innovation and Growth (iSIG), vol. 5(1), pages 107-120, March.
    11. Bello, Mufutau Opeyemi & Solarin, Sakiru Adebola & Yen, Yuen Yee, 2018. "Hydropower and potential for interfuel substitution: The case of electricity sector in Malaysia," Energy, Elsevier, vol. 151(C), pages 966-983.
    12. Fabienne Femenia & Alain Carpentier & Obafemi Philippe Koutchade, 2018. "Dealing with corner solutions in multi-crop micro-econometric models: an endogenous regime approach with regime fixed costs," Post-Print hal-01879042, HAL.
    13. Rosario Crino, 2006. "Are U.S. White-Collar Really at Risk of Service Offshoring?," KITeS Working Papers 183, KITeS, Centre for Knowledge, Internationalization and Technology Studies, Universita' Bocconi, Milano, Italy, revised Oct 2006.

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    More about this item

    JEL classification:

    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • C34 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Truncated and Censored Models; Switching Regression Models
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • Q41 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - Demand and Supply; Prices

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