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Estimation of Collective Household Models With Engel Curves

  • Arthur Lewbel

    ()

    (Boston College)

  • Krishna Pendakur

    (Simon Fraser University)

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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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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  1. Shannon Seitz & Jeremy Lise, 2005. "Consumption Inequality and Intra-Household Allocations," 2005 Meeting Papers 448, Society for Economic Dynamics.
  2. Cherchye, L.J.H. & de Rock, B. & Vermeulen, F.M.P., 2008. "Economic Well-Being and Poverty Among the Elderly : An Analysis Based on a Collective Consumption Model," Discussion Paper 2008-15, Tilburg University, Center for Economic Research.
  3. Frederic Vermeulen, 2000. "Collective household models: principles and main results," Public Economics Working Paper Series ces0028, Katholieke Universiteit Leuven, Centrum voor Economische Studiën, Working Group Public Economics.
  4. Martin Browning & P.A. Chiappori, 1996. "Efficient Intra-Household Allocations - A General Characterization and Empirical Tests," Discussion Papers 96-10, University of Copenhagen. Department of Economics.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. Chiappori, Pierre-Andre, 1988. "Nash-Bargained Households Decisions: A Comment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(4), pages 791-96, November.
  11. 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.
  12. Chiappori, P.A., 1989. "Collective Labour Supply and Welfare," DELTA Working Papers 89-07, DELTA (Ecole normale supérieure).
  13. Lewbel, Arthur, 1989. "Household equivalence scales and welfare comparisons," Journal of Public Economics, Elsevier, vol. 39(3), pages 377-391, August.
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