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Sharing rule identification for general collective consumption models

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  • Laurens CHERCHYE
  • Bram DE ROCK
  • Arthur LEWBEL
  • Frederic VERMEULEN

Abstract

We propose a method to identify bounds (i.e. set identification) on the sharing rule for a general collective household consumption model. Unlike the effects of distribution factors, it is well known that the level of the sharing rule cannot be uniquely identified without strong assumptions on preferences across households of different compositions. Our new results show that, though not point identified without these assumptions, bounds on the sharing rule can still be obtained. We get these bounds by applying revealed preference restrictions implied by the collective model to the household’s continuous aggregate demand functions. We obtain informative bounds even if nothing is known about whether each good is public, private, or assignable within the household, though having such information tightens the bounds. An empirical application demonstrates the practical usefulness of our method.

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Bibliographic Info

Paper provided by Katholieke Universiteit Leuven, Centrum voor Economische Studiën in its series Center for Economic Studies - Discussion papers with number ces12.05.

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Date of creation: May 2012
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Handle: RePEc:ete:ceswps:ces12.05

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References

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  1. Cherchye, L.J.H. & Rock, B. de & Vermeulen, F.M.P., 2011. "The revealed preference approach to collective consumption behavior: Testing and sharing rule recovery," Open Access publications from Tilburg University urn:nbn:nl:ui:12-3857700, Tilburg University.
  2. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2011. "The revealed preference approach to collective consumption behavior: nonparametric testing and sharing rule recovery," ULB Institutional Repository 2013/98560, ULB -- Universite Libre de Bruxelles.
  3. Blundell, Richard William & Chiappori, Pierre-André & Magnac, Thierry & Meghir, Costas, 2005. "Collective Labour Supply: Heterogeneity and Non-Participation," CEPR Discussion Papers 5287, C.E.P.R. Discussion Papers.
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  8. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2008. "An Afriat Theorem for the collective model of household consumption," Center for Economic Studies - Discussion papers ces0825, Katholieke Universiteit Leuven, Centrum voor Economische Studiën.
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Cited by:
  1. Colombino Ugo & Narazani Edlira, 2012. "What’s Best for Women: Gender Based Taxation, Wage Subsidies or Basic Income?"," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201212, University of Turin.
  2. Colombino, Ugo & Narazani, Edlira, 2013. "What’s best for women: gender based taxation, wage subsidies or basic income?," EUROMOD Working Papers EM10/13, EUROMOD at the Institute for Social and Economic Research.

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