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Identification of Semiparametric Model Coefficients, With an Application to Collective Households

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  • Arthur Lewbel

    (Boston College)

  • Xirong Lin

    (Shanghai University of Finance and Economics)

Abstract

We prove identification of coefficients for a set of semiparametric specifications that are related to multiple index models. Potential applications of these results include models of observed heterogeneity in production functions and in consumer demand systems. We then generalize these results to identify a class of collective household consumption models. We extend the existing literature by proving point identification, rather than the weaker generic identification, of all the features of the collective household model, including price effects. We estimate the model using Japanese consumption data, and find substantial variation in resource shares and indifference scales across households of different sizes.

Suggested Citation

  • Arthur Lewbel & Xirong Lin, 2019. "Identification of Semiparametric Model Coefficients, With an Application to Collective Households," Boston College Working Papers in Economics 1002, Boston College Department of Economics, revised 15 Dec 2021.
  • Handle: RePEc:boc:bocoec:1002
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    More about this item

    Keywords

    Identification; Semiparametric; Collective Household Model; Cost of Children; Bargaining Power; Sharing Rule; Demand Systems;
    All these keywords.

    JEL classification:

    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • D13 - Microeconomics - - Household Behavior - - - Household Production and Intrahouse Allocation

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