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Nonparametric Estimation of Demand Elasticities Using Panel Data

Author

Listed:
  • Stefan Hoderlein

    (Boston College)

  • Matthew Shum

    (Caltech)

Abstract

In this paper, we propose and implement an estimator for price elasticities in demand models that makes use of Panel data. Our underlying demand model is nonparametric, and accommodates general distributions of product-specific unobservables which can lead to endogeneity of price. Our approach allows these unobservables to vary over time while, at the same time, not requiring the availability of instruments which are orthogonal to these unobservables. Monte Carlo simulations demonstrate that our estimator works remarkably well, even with modest sample sizes. We provide an illustrative application to estimating the cross-price elasticity matrix for carbonated soft drinks.

Suggested Citation

  • Stefan Hoderlein & Matthew Shum, 2014. "Nonparametric Estimation of Demand Elasticities Using Panel Data," Boston College Working Papers in Economics 891, Boston College Department of Economics, revised 01 Feb 2016.
    • Handle: RePEc:boc:bocoec:891
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    References listed on IDEAS

    as
    1. Chamberlain, Gary, 1982. "Multivariate regression models for panel data," Journal of Econometrics, Elsevier, vol. 18(1), pages 5-46, January.
    2. Steven T. Berry, 1994. "Estimating Discrete-Choice Models of Product Differentiation," RAND Journal of Economics, The RAND Corporation, vol. 25(2), pages 242-262, Summer.
    3. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762.
    4. Steven T. Berry & Philip A. Haile, 2009. "Nonparametric Identification of Multinomial Choice Demand Models with Heterogeneous Consumers," Cowles Foundation Discussion Papers 1718, Cowles Foundation for Research in Economics, Yale University, revised Mar 2010.
    5. Steven Berry & James Levinsohn & Ariel Pakes, 2004. "Differentiated Products Demand Systems from a Combination of Micro and Macro Data: The New Car Market," Journal of Political Economy, University of Chicago Press, vol. 112(1), pages 68-105, February.
    6. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-890, July.
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    Keywords

    demand elasticities; nonparametric estimation;

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