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

Arthur Lewbel () and Xirong Lin ()
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Xirong Lin: Boston College

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

Abstract: We first prove identification of coefficients in a class of semiparametric models. We then apply these results to identify collective household consumption models. We extend the existing literature by proving point identification, rather than the weaker generic identification, of all the features of a collective household (including price effects). Moreover, we do so in a model where goods can be partly shared, and allowing children to have their own preferences, without observing child specific goods. We estimate the model using Japanese consumption data, where we find new results regarding the sharing and division of goods among husbands, wives, and children.

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
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