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Identification and Estimation of Demand Models with Endogenous Product Entry and Exit

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  • Victor Aguirregabiria
  • Alessandro Iaria
  • Senay Sokullu

Abstract

Firms introduce products in markets where they anticipate stronger demand, using information unobserved by researchers. This creates endogenous selection in demand estimation. In differentiated-product oligopolies, multidimensional demand unobservables and strategic entry can render the ordinary propensity score insufficient for selection correction. Existing approaches either restrict firms' information at entry or jointly estimate demand, pricing, and entry under strong supply-side assumptions. We derive a new mixture representation of the selection-bias function using latent propensity scores: entry probabilities conditional on observables and a latent market state generating dependence across entry decisions. This representation yields a convenient two-step semiparametric estimator that corrects for selection and price endogeneity while accommodating richer information at entry. The approach makes weaker supply-side assumptions and is simpler to implement because it avoids repeatedly solving the full model. Applied to the US airline industry, the method yields more elastic demand and less market power than estimates ignoring endogenous entry.

Suggested Citation

  • Victor Aguirregabiria & Alessandro Iaria & Senay Sokullu, 2023. "Identification and Estimation of Demand Models with Endogenous Product Entry and Exit," Papers 2308.14196, arXiv.org, revised Jul 2026.
  • Handle: RePEc:arx:papers:2308.14196
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    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C34 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Truncated and Censored Models; Switching Regression Models
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • C57 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Econometrics of Games and Auctions
    • D22 - Microeconomics - - Production and Organizations - - - Firm Behavior: Empirical Analysis
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L93 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Air Transportation

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