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

Arthur Lewbel and Xirong Lin

No 1002, Boston College Working Papers in Economics from Boston College Department of 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.

Keywords: Identification; Semiparametric; Collective Household Model; Cost of Children; Bargaining Power; Sharing Rule; Demand Systems (search for similar items in EconPapers)
JEL-codes: C21 C31 D12 D13 (search for similar items in EconPapers)
Date: 2019-11-15, Revised 2021-12-15
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Journal Article: Identification of semiparametric model coefficients, with an application to collective households (2022)
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