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Estimation of Collective Household Models With Engel Curves

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Author Info
Arthur Lewbel () (Boston College)
Krishna Pendakur (Simon Fraser University)

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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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Publisher 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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Related research
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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Find related papers by JEL classification:
D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
I31 - Health, Education, and Welfare - - Welfare and Poverty - - - General Welfare
J12 - Labor and Demographic Economics - - Demographic Economics - - - Marriage; Marital Dissolution; Family Structure

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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.:
  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. [Downloadable!] (restricted)
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  2. 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.
  3. Martin Browning & Pierre-Andre Chiappori & Arthur Lewbel, 2006. "Estimating Consumption Economies of Scale, Adult Equivalence Scales, and Household Bargaining Power," Economics Series Working Papers 289, University of Oxford, Department of Economics. [Downloadable!]
    Other versions:
  4. Cherchye, Laurens & De Rock, Bram & Vermeulen, Frederic, 2008. "Economic Well-Being and Poverty among the Elderly: An Analysis Based on a Collective Consumption Model," IZA Discussion Papers 3349, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  5. 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.
  6. 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. [Downloadable!]
  7. Jeremy Lise & Shannon Seitz, 2004. "Consumption Inequality and Intra-Household Allocations," Working Papers 1019, Queen's University, Department of Economics. [Downloadable!]
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  8. Lewbel, Arthur, 1989. "Household equivalence scales and welfare comparisons," Journal of Public Economics, Elsevier, vol. 39(3), pages 377-391, August. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
  10. Vermeulen, Frederic, 2002. " Collective Household Models: Principles and Main Results," Journal of Economic Surveys, Blackwell Publishing, vol. 16(4), pages 533-64, September. [Downloadable!] (restricted)
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  11. 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.
  12. 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).
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  13. Bourguignon, F. & Browning, M. & Chiappori, P. A., 1995. "The Collective Approach to Household Behaviour," DELTA Working Papers 95-04, DELTA (Ecole normale supérieure).
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Cited by:
(explanations, 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.)

  1. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2008. "The Revealed Preference Approach to Collective Consumption Behavior: Testing, Recovery and Welfare Analysis," ECARES Working Papers 2008_029, Université Libre de Bruxelles, Ecares. [Downloadable!]
    Other versions:
  2. Bütikofer, Aline & Gerfin, Michael, 2009. "The Economies of Scale of Living Together and How They Are Shared: Estimates Based on a Collective Household Model," IZA Discussion Papers 4327, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
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