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Identification and Estimation of Differentiated Products Models

Author

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  • David P. Byrne
  • Susumu Imai
  • Neelam Jain
  • Vasilis Sarafidis
  • Masayuki Hirukawa

Abstract

We propose a new methodology for estimating demand and cost functions of differentiated products models when demand and cost data are available. The method deals with the endogeneity of prices to demand shocks and the endogeneity of outputs to cost shocks by using cost data. We establish identification, consistency and asymptotic normality of our two-step Sieve Nonlinear Least Squares (SNLLS) estimator for the commonly used logit and BLP demand function specification. Using Monte-Carlo experiments, we show that our method works well in contexts where commonly used instruments are correlated with demand and cost shocks and thus biased. We also apply our method to the estimation of deposit demand in the US banking industry.

Suggested Citation

  • David P. Byrne & Susumu Imai & Neelam Jain & Vasilis Sarafidis & Masayuki Hirukawa, 2019. "Identification and Estimation of Differentiated Products Models," Monash Econometrics and Business Statistics Working Papers 33/19, Monash University, Department of Econometrics and Business Statistics.
    • Handle: RePEc:msh:ebswps:2019-33
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    File URL: https://www.monash.edu/business/ebs/research/publications/ebs/wp33-2019.pdf
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    References listed on IDEAS

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    More about this item

    Keywords

    differentiated goods oligopoly; instruments; identification; cost data.;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L41 - Industrial Organization - - Antitrust Issues and Policies - - - Monopolization; Horizontal Anticompetitive Practices

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