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BLP-2LASSO for aggregate discrete choice models with rich covariates

Author

Listed:
  • Benjamin J Gillen
  • Sergio Montero
  • Hyungsik Roger Moon
  • Matthew Shum

Abstract

SummaryWe introduce the BLP-2LASSO model, which augments the classic BLP (Berry, Levinsohn, and Pakes, 1995) random-coefficients logit model to allow for data-driven selection among a high-dimensional set of control variables using the 'double-LASSO' procedure proposed by Belloni, Chernozhukov, and Hansen (2013). Economists often study consumers’ aggregate behaviour across markets choosing from a menu of differentiated products. In this analysis, local demographic characteristics can serve as controls for market-specific preference heterogeneity. Given rich demographic data, implementing these models requires specifying which variables to include in the analysis, an ad hoc process typically guided primarily by a researcher’s intuition. We propose a data-driven approach to estimate these models, applying penalized estimation algorithms from the recent literature in high-dimensional econometrics. Our application explores the effect of campaign spending on vote shares in data from Mexican elections.

Suggested Citation

  • Benjamin J Gillen & Sergio Montero & Hyungsik Roger Moon & Matthew Shum, 2019. "BLP-2LASSO for aggregate discrete choice models with rich covariates," The Econometrics Journal, Royal Economic Society, vol. 22(3), pages 262-281.
    • Handle: RePEc:oup:emjrnl:v:22:y:2019:i:3:p:262-281.
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    File URL: http://hdl.handle.net/10.1093/ectj/utz010
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    Citations

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    Cited by:

    1. Haoge Chang & Yusuke Narita & Kota Saito, 2022. "Approximating Choice Data by Discrete Choice Models," Papers 2205.01882, arXiv.org, revised Dec 2023.
    2. Xi Chen & Ralf van der Lans & Michael Trusov, 2021. "Efficient Estimation of Network Games of Incomplete Information: Application to Large Online Social Networks," Management Science, INFORMS, vol. 67(12), pages 7575-7598, December.
    3. Masayuki Sawada & Kohei Kawaguchi, 2020. "Estimating High-Dimensional Discrete Choice Model of Differentiated Products with Random Coefficients," Papers 2004.08791, arXiv.org.
    4. Brett R. Gordon & Mitchell J. Lovett & Bowen Luo & James C. Reeder, 2023. "Disentangling the Effects of Ad Tone on Voter Turnout and Candidate Choice in Presidential Elections," Management Science, INFORMS, vol. 69(1), pages 220-243, January.
    5. Wang, Ao, 2021. "A BLP Demand Model of Product-Level Market Shares with Complementarity," The Warwick Economics Research Paper Series (TWERPS) 1351, University of Warwick, Department of Economics.

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