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Sharing Rule Identification for General Collective Consumption Models

  • Laurens Cherchye

    (CES, University of Leuven)

  • Bram De Rock

    (ECARES and ECORE, Université Libre de Bruxelles)

  • Arthur Lewbel

    ()

    (Boston College)

  • Frederic Vermeulen

    (CentER, Tilburg University)

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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Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 809.

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Date of creation: 15 May 2012
Date of revision: 01 Jul 2013
Handle: RePEc:boc:bocoec:809
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  1. Arthur Lewbel & Krishna Pendakur, 2008. "Estimation of Collective Household Models With Engel Curves," Boston College Working Papers in Economics 694, Boston College Department of Economics.
  2. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2007. "The Collective Model of Household Consumption: A Nonparametric Characterization," Econometrica, Econometric Society, vol. 75(2), pages 553-574, 03.
  3. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2008. "An Afriat Theorem for the collective model of household consumption," Working Papers Department of Economics ces0825, KU Leuven, Faculty of Economics and Business, Department of Economics.
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  11. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2012. "Married with Children: A Collective Labor Supply Model with Detailed Time Use and Intrahousehold Expenditure Information," American Economic Review, American Economic Association, vol. 102(7), pages 3377-3405, December.
  12. Geoffrey R. Dunbar & Arthur Lewbel & Krishna Pendakur, 2013. "Children's Resources in Collective Households: Identification, Estimation, and an Application to Child Poverty in Malawi," American Economic Review, American Economic Association, vol. 103(1), pages 438-71, February.
  13. Krishna Pendakur & Martina Menon & Federico Perali, 2012. "On the Expenditure-Dependence of Children's Resource Shares," Discussion Papers dp12-11, Department of Economics, Simon Fraser University.
  14. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2011. "The Revealed Preference Approach to Collective Consumption Behaviour: Testing and Sharing Rule Recovery," Review of Economic Studies, Oxford University Press, vol. 78(1), pages 176-198.
  15. Chiappori, Pierre-Andre, 1992. "Collective Labor Supply and Welfare," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 437-67, June.
  16. Galichon, Alfred & Henry, Marc, 2009. "A test of non-identifying restrictions and confidence regions for partially identified parameters," Journal of Econometrics, Elsevier, vol. 152(2), pages 186-196, October.
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  28. Chiappori, P.A. & Ekeland, I., 2006. "The micro economics of group behavior: General characterization," Journal of Economic Theory, Elsevier, vol. 130(1), pages 1-26, September.
  29. 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.
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