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Estimation of Collective Household Models With Engel Curves

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  • Arthur Lewbel

    () (Boston College)

  • Krishna Pendakur

    (Simon Fraser University)

Abstract

The structural consumer demand methods used to estimate the parameters of collective household models are typically either very restrictive and easy to implement or very general and difficult to estimate. In this paper, we provide a middle ground. We adapt the very general framework of Browning, Chiappori and Lewbel (2007) by adding a simple restriction that recasts the empirical model from a highly nonlinear demand system with price variation to a slightly nonlinear Engel curve system. Our restriction has an interpretation in terms of the behaviour of household scale economies and is testable. Our method identifies the levels of (not just changes in) household resource shares, and a variant of equivalence scales called indifference scales. We apply our methodology to Canadian expenditure data.

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Bibliographic Info

Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 694.

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Length: 17 pages
Date of creation: 01 May 2008
Date of revision:
Handle: RePEc:boc:bocoec:694

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Keywords: Consumer Demand; Collective Model; Sharing rule; Household Bargaining; Bargaining Power; Indifference Scales; Adult Equivalence Scales; Demand Systems; Barten Scales; Nonparametric Identification.;

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References

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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 437-67, June.
  2. 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.
  3. Jeremy Lise & Shannon Seitz, 2004. "Consumption Inequality and Intra-Household Allocations," Working Papers 1019, Queen's University, Department of Economics.
  4. 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.
  5. Vermeulen, Frederic, 2002. " Collective Household Models: Principles and Main Results," Journal of Economic Surveys, Wiley Blackwell, vol. 16(4), pages 533-64, September.
  6. 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.
  7. Becker, Gary S, 1981. "Altruism in the Family and Selfishness in the Market Place," Economica, London School of Economics and Political Science, vol. 48(189), pages 1-15, February.
  8. Bourguignon, F. & Browning, M. & Chiappori, P. A., 1995. "The Collective Approach to Household Behaviour," DELTA Working Papers 95-04, DELTA (Ecole normale supérieure).
  9. James Banks & Richard Blundell & Arthur Lewbel, 1997. "Quadratic Engel Curves And Consumer Demand," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 527-539, November.
  10. 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).
  11. Lewbel, Arthur, 1989. "Household equivalence scales and welfare comparisons," Journal of Public Economics, Elsevier, vol. 39(3), pages 377-391, August.
  12. Blackorby, C. & Donaldson, D., 1991. "Adult-Equivalence Scales and the Economic Implementation of Interpersonal Comparisons of Well-Being," UBC Departmental Archives 91-08, UBC Department of Economics.
  13. Jorgenson, Dale W & Slesnick, Daniel T, 1987. "Aggregate Consumer Behavior and Household Equivalence Scales," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(2), pages 219-32, April.
  14. Richard Blundell & Alan Duncan & Krishna Pendakur, 1998. "Semiparametric estimation and consumer demand," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 13(5), pages 435-461.
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