English

Estimating High-Dimensional Discrete Choice Model of Differentiated Products with Random Coefficients

Econometrics 2020-04-21 v1

Abstract

We propose an estimation procedure for discrete choice models of differentiated products with possibly high-dimensional product attributes. In our model, high-dimensional attributes can be determinants of both mean and variance of the indirect utility of a product. The key restriction in our model is that the high-dimensional attributes affect the variance of indirect utilities only through finitely many indices. In a framework of the random-coefficients logit model, we show a bound on the error rate of a l1l_1-regularized minimum distance estimator and prove the asymptotic linearity of the de-biased estimator.

Keywords

Cite

@article{arxiv.2004.08791,
  title  = {Estimating High-Dimensional Discrete Choice Model of Differentiated Products with Random Coefficients},
  author = {Masayuki Sawada and Kohei Kawaguchi},
  journal= {arXiv preprint arXiv:2004.08791},
  year   = {2020}
}