IDEAS home Printed from
MyIDEAS: Log in (now much improved!) to save this paper

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.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL:
File Function: main text
Download Restriction: no

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

in new window

Date of creation: 15 May 2012
Date of revision: 01 Jul 2013
Handle: RePEc:boc:bocoec:809
Contact details of provider: Postal:
Boston College, 140 Commonwealth Avenue, Chestnut Hill MA 02467 USA

Phone: 617-552-3670
Fax: +1-617-552-2308
Web page:

More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Richard Blundell & Martin Browning & Ian Crawford, 2005. "Best nonparametric bounds on demand responses," IFS Working Papers W05/20, Institute for Fiscal Studies.
  2. Martin Browning & Pierre-Andre Chiappori, 2006. "Estimating Consumption Economies of Scale, Adult Equivalence Scales, and Household Bargaining Power," Economics Series Working Papers 289, University of Oxford, Department of Economics.
  3. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2010. "An Afriat theorem for the collective model of household consumption," ULB Institutional Repository 2013/131711, ULB -- Universite Libre de Bruxelles.
  4. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2012. "Married with Children: A Collective Labor Supply Model with Detailed Time Use and Intrahousehold Expenditure Information," ULB Institutional Repository 2013/131705, ULB -- Universite Libre de Bruxelles.
  5. Geoffrey Dunbar & Arthur Lewbel & Krishna Pendakur, 2010. "Children's Resources in Collective Households: Identification, Estimation and an Application to Child Poverty in Malawi," Boston College Working Papers in Economics 758, Boston College Department of Economics, revised 31 Jan 2012.
  6. 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.
  7. 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.
  8. Chiappori, P.A., 1989. "Collective Labour Supply and Welfare," DELTA Working Papers 89-07, DELTA (Ecole normale supérieure).
  9. Blundell, Richard & Chiappori, Pierre-André & Magnac, Thierry & Meghir, Costas, 2005. "Collective Labour Supply: Heterogeneity and Nonparticipation," IZA Discussion Papers 1785, Institute for the Study of Labor (IZA).
  10. Jeremy Lise & Shannon Seitz, 2005. "Consumption Inequality and Intra-Household Allocations," Labor and Demography 0504001, EconWPA.
  11. Chiappori, Pierre-Andre, 1988. "Rational Household Labor Supply," Econometrica, Econometric Society, vol. 56(1), pages 63-90, January.
  12. Pierre-André Chiappori & Richard Blundell & Costas Meghir, 2002. "Collective labour supply with children," IFS Working Papers W02/08, Institute for Fiscal Studies.
  13. 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.
  14. Cherchye, L.J.H. & de Rock, B. & Vermeulen, F.M.P., 2007. "The collective model of household consumption : A nonparametric characterization," Other publications TiSEM 0a104373-4fb6-4ef2-9d2b-2, Tilburg University, School of Economics and Management.
  15. M. Browning & P. A. Chiappori, 1998. "Efficient Intra-Household Allocations: A General Characterization and Empirical Tests," Econometrica, Econometric Society, vol. 66(6), pages 1241-1278, November.
  16. Arie Beresteanu & Francesca Molinari, 2008. "Asymptotic Properties for a Class of Partially Identified Models," Econometrica, Econometric Society, vol. 76(4), pages 763-814, 07.
  17. Marjorie B. McElroy, 1990. "The Empirical Content of Nash-Bargained Household Behavior," Journal of Human Resources, University of Wisconsin Press, vol. 25(4), pages 559-583.
  18. Laurens Cherchye & Bram De Rock & Frederik Vermeulen, 2008. "Economic well-being and poverty among the elderly: an analysis based on a collective consumption model," Working Papers Department of Economics ces0807, KU Leuven, Faculty of Economics and Business, Department of Economics.
  19. 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.
  20. Elie Tamer, 2010. "Partial Identification in Econometrics," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 167-195, 09.
  21. Pierre-André Chiappori & Bernard Fortin & Guy Lacroix, 2001. "Marriage Market, Divorce Legislation and Household Labor Supply," CIRANO Working Papers 2001s-16, CIRANO.
  22. 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.
  23. 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).
  24. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-46, July-Aug..
  25. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-73, July.
  26. 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.
  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. Browning, Martin & Francois Bourguignon & Pierre-Andre Chiappori & Valerie Lechene, 1994. "Income and Outcomes: A Structural Model of Intrahousehold Allocation," Journal of Political Economy, University of Chicago Press, vol. 102(6), pages 1067-96, December.
  29. Bossert, Walter, 1993. "Continuous Choice Functions and the Strong Axiom of Revealed Preference," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 379-85, April.
  30. Menon, Martina & Pendakur, Krishna & Perali, Federico, 2012. "On the expenditure-dependence of children’s resource shares," Economics Letters, Elsevier, vol. 117(3), pages 739-742.
  31. P.-A. Chiappori & I. Ekeland, 2009. "The Microeconomics of Efficient Group Behavior: Identification," Econometrica, Econometric Society, vol. 77(3), pages 763-799, 05.
  32. W. E. Diewert, 1973. "Afriat and Revealed Preference Theory," Review of Economic Studies, Oxford University Press, vol. 40(3), pages 419-425.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:boc:bocoec:809. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Christopher F Baum)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.