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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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  3. Cherchye, Laurens & De Rock, Bram & Vermeulen, Frederic, 2010. "An Afriat Theorem for the collective model of household consumption," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1142-1163, May.
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  5. Jeremy Lise & Shannon Seitz, 2004. "Consumption Inequality and Intra-Household Allocations," Working Papers 1019, Queen's University, Department of Economics.
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  7. Bargain, Olivier & Donni, Olivier, 2009. "The Measurement of Child Costs: A Rothbarth-Type Method Consistent with Scale Economies," IZA Discussion Papers 4654, Institute for the Study of Labor (IZA).
  8. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2007. "The Collective Model of Household Consumption: A nonparametric characterization," ULB Institutional Repository 2013/98559, ULB -- Universite Libre de Bruxelles.
  9. Browning, M. & Bourguignon, F. & Chiappori, P.A. & Lechene, V., 1992. "Incomes and Outcomes: A structural Model of Intra-Household Allocation," DELTA Working Papers 92-23, DELTA (Ecole normale supérieure).
  10. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2012. "Economic well-being and poverty among the elderly: an analysis based on a collective consumption model," ULB Institutional Repository 2013/131702, ULB -- Universite Libre de Bruxelles.
  11. Martin Browning & Pierre-Andrée Chiappori & Arthur Lewbel, 2004. "Estimating Consumption Economies of Scale, Adult Equivalence Scales, and Household Bargaining Power," Boston College Working Papers in Economics 588, Boston College Department of Economics, revised 01 Sep 2010.
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  16. Martin Browning & Pierre-Andre Chiappori, 1994. "Efficient Intra-Household Allocations: a General Characterization and Empirical Tests," Department of Economics Working Papers 1994-02, McMaster University.
  17. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-73, July.
  18. Beresteanu, Arie & Molinari, Francesca, 2006. "Asymptotic Properties for a Class of Partially Identified Models," Working Papers 06-07, Cornell University, Center for Analytic Economics.
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  20. Blundell, Richard & Kristensen, Dennis & Matzkin, Rosa, 2014. "Bounding quantile demand functions using revealed preference inequalities," Journal of Econometrics, Elsevier, vol. 179(2), pages 112-127.
  21. Lewbel, Arthur & Pendakur, Krishna, 2008. "Estimation of collective household models with Engel curves," Journal of Econometrics, Elsevier, vol. 147(2), pages 350-358, December.
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  23. 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.
  24. Chiappori, Pierre-Andre, 1988. "Rational Household Labor Supply," Econometrica, Econometric Society, vol. 56(1), pages 63-90, January.
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  26. 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.
  27. 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.
  28. BARGAIN Olivier & DONNI Olivier, 2010. "The Measurement of Child Costs: A Rothbarth-Type Method Consistent with Scale Economies and Parents? Bargaining," LISER Working Paper Series 2010-30, LISER.
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  32. repec:bla:restud:v:40:y:1973:i:3:p:419-25 is not listed on IDEAS
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