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Sharing rule identification for general collective consumption models

Listed author(s):
  • Laurens CHERCHYE
  • Bram DE ROCK
  • Arthur LEWBEL
  • Frederic VERMEULEN

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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File URL: https://lirias.kuleuven.be/bitstream/123456789/348268/1/DPS1205.pdf
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Paper provided by KU Leuven, Faculty of Economics and Business, Department of Economics in its series Working Papers Department of Economics with number ces12.05.

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Date of creation: May 2012
Handle: RePEc:ete:ceswps:ces12.05
Contact details of provider: Web page: http://feb.kuleuven.be/Economics/

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  1. Chiappori, Pierre-Andre, 1992. "Collective Labor Supply and Welfare," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 437-467, June.
  2. 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.
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  7. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2008. "Economic well-being and poverty among the elderly: an analysis based on a collective consumption model," Working Papers ECARES 2008-026, ULB -- Universite Libre de Bruxelles.
  8. Jeremy Lise & Shannon Seitz, 2004. "Consumption Inequality and Intra-Household Allocations," Working Papers 1019, Queen's University, Department of Economics.
  9. 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).
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  12. 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.
  13. 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.
  14. 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.
  15. Richard Blundell & Pierre-Andre Chiappori & Thierry Magnac & Costas Meghir, 2007. "Collective Labour Supply: Heterogeneity and Non-Participation," Review of Economic Studies, Oxford University Press, vol. 74(2), pages 417-445.
  16. Pierre-André Chiappori & Richard Blundell & Costas Meghir, 2002. "Collective labour supply with children," IFS Working Papers W02/08, Institute for Fiscal Studies.
  17. 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.
  18. Chiappori, Pierre-André & Fortin, Bernard & Lacroix, Guy, 2001. "Marriage Market, Divorce Legislation and Household Labor Supply," Cahiers de recherche 0103, Université Laval - Département d'économique.
  19. P.-A. Chiappori & I. Ekeland, 2009. "The Microeconomics of Efficient Group Behavior: Identification," Econometrica, Econometric Society, vol. 77(3), pages 763-799, 05.
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  23. 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.
  24. 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.
  25. W. E. Diewert, 1973. "Afriat and Revealed Preference Theory," Review of Economic Studies, Oxford University Press, vol. 40(3), pages 419-425.
  26. Richard Blundell & Dennis Kristensen & Rosa Matzkin, 2011. "Bounding quantile demand functions using revealed preference inequalities," CeMMAP working papers CWP21/11, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  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. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-846, July-Aug..
  29. 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.
  30. 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 438-471, February.
  31. 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 379-385, April.
  32. 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.
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