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The Measurement of Child Costs: A Rothbarth-Type Method Consistent with Scale Economies

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  • Bargain, Olivier

    (Université Montesquieu Bordeaux IV)

  • Donni, Olivier

    (University of Cergy-Pontoise)

Abstract

We propose a new methodology to estimate the share of household income accruing to children (i.e., the cost of children). Following the principle of the Rothbarth approach, the identification of the children's share requires the observation of at least one adult-specific good. However, our method differs from this traditional approach in that it allows measuring economies of scale in the household and indifference scales in Lewbel (2003)'s sense. We illustrate the method with an application on the French Household Budget Survey.

Suggested Citation

  • Bargain, Olivier & Donni, Olivier, 2009. "The Measurement of Child Costs: A Rothbarth-Type Method Consistent with Scale Economies," IZA Discussion Papers 4654, Institute of Labor Economics (IZA).
  • Handle: RePEc:iza:izadps:dp4654
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    References listed on IDEAS

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    1. Blundell, Richard & Robin, Jean Marc, 1999. "Estimation in Large and Disaggregated Demand Systems: An Estimator for Conditionally Linear Systems," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(3), pages 209-232, May-June.
    2. Tsakloglou, Panos, 1991. "Estimation and Comparison of Two Simple Models of Equivalence Scales for the Cost of Children," Economic Journal, Royal Economic Society, vol. 101(405), pages 343-357, March.
    3. Lazear, Edward P. & Michael, Robert T., 1988. "Allocation of Income within the Household," University of Chicago Press Economics Books, University of Chicago Press, edition 1, number 9780226469669, September.
    4. Smith, Richard J & Blundell, Richard W, 1986. "An Exogeneity Test for a Simultaneous Equation Tobit Model with an Application to Labor Supply," Econometrica, Econometric Society, vol. 54(3), pages 679-685, May.
    5. FranÚois Bourguignon, 1999. "The cost of children: May the collective approach to household behavior help?," Journal of Population Economics, Springer;European Society for Population Economics, vol. 12(4), pages 503-521.
    6. Olivier Bargain & Olivier Donni, 2012. "Targeting and child poverty," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 783-808, October.
    7. repec:hal:spmain:info:hdl:2441/f0uohitsgqh8dhk9820172631 is not listed on IDEAS
    8. Richard Blundell & Jean-Marc Robin, 2000. "Latent Separability: Grouping Goods without Weak Separability," Econometrica, Econometric Society, vol. 68(1), pages 53-84, January.
    9. Browning, Martin, 1992. "Children and Household Economic Behavior," Journal of Economic Literature, American Economic Association, vol. 30(3), pages 1434-1475, September.
    10. Gronau, Reuben, 1991. "The Intrafamily Allocation of Goods--How to Separate the Adult from the Child," Journal of Labor Economics, University of Chicago Press, vol. 9(3), pages 207-235, July.
    11. Lewbel, Arthur, 2003. "Calculating compensation in cases of wrongful death," Journal of Econometrics, Elsevier, vol. 113(1), pages 115-128, March.
    12. Olivier Donni, 2009. "A Simple Approach to Investigate Intrahousehold Allocation of Private and Public Goods," The Review of Economics and Statistics, MIT Press, vol. 91(3), pages 617-628, August.
    13. Angus Deaton & Christina Paxson, 1998. "Economies of Scale, Household Size, and the Demand for Food," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 897-930, October.
    14. Richard Blundell & Pierre-André Chiappori & Costas Meghir, 2005. "Collective Labor Supply with Children," Journal of Political Economy, University of Chicago Press, vol. 113(6), pages 1277-1306, December.
    15. Gronau, Reuben, 1988. "Consumption Technology and the Intrafamily Distribution of Resources:," Journal of Political Economy, University of Chicago Press, vol. 96(6), pages 1183-1205, December.
    16. Bernarda Zamora, 2011. "Does female participation affect the sharing rule?," Journal of Population Economics, Springer;European Society for Population Economics, vol. 24(1), pages 47-83, January.
    17. Lewbel, Arthur, 1991. "Cost of characteristics indices and household equivalence scales," European Economic Review, Elsevier, vol. 35(6), pages 1277-1293, August.
    18. Olivier Bargain & Olivier Donni & Monnet Gbakou, 2010. "The Measurement of Child Costs: Evidence from Ireland," The Economic and Social Review, Economic and Social Studies, vol. 41(1), pages 1-20.
    19. Deaton, Angus S & Muellbauer, John, 1986. "On Measuring Child Costs: With Applications to Poor Countries," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 720-744, August.
    20. Jean-Marc Robin, 1999. "[Econometrics of systems of demand] [Econométrie des systèmes de demande]," Post-Print hal-02688894, HAL.
    21. Nelson, Julie A, 1988. "Household Economies of Scale in Consumption: Theory and Evidence," Econometrica, Econometric Society, vol. 56(6), pages 1301-1314, November.
    22. Pollak, Robert A & Wales, Terence J, 1979. "Welfare Comparisons and Equivalence Scales," American Economic Review, American Economic Association, vol. 69(2), pages 216-221, May.
    23. 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.
    24. Lewbel, Arthur & Pendakur, Krishna, 2008. "Estimation of collective household models with Engel curves," Journal of Econometrics, Elsevier, vol. 147(2), pages 350-358, December.
    25. Matzkin, Rosa L., 2007. "Nonparametric identification," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 73, Elsevier.
    26. Deaton, Angus S & Ruiz-Castillo, Javier & Thomas, Duncan, 1989. "The Influence of Household Composition on Household Expenditure Patterns: Theory and Spanish Evidence," Journal of Political Economy, University of Chicago Press, vol. 97(1), pages 179-200, February.
    27. 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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    Cited by:

    1. Laurens Cherchye & Bram De Rock & Arthur Lewbel & Frederic Vermeulen, 2015. "Sharing Rule Identification for General Collective Consumption Models," Econometrica, Econometric Society, vol. 83(5), pages 2001-2041, September.
    2. Arthur Lewbel & Krishna Pendakur, 2022. "Inefficient Collective Households: Cooperation and Consumption," The Economic Journal, Royal Economic Society, vol. 132(645), pages 1882-1893.
    3. Olivier Bargain & Olivier Donni, 2012. "Targeting and child poverty," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 783-808, October.
    4. Bargain, Olivier & Donni, Olivier & Kwenda, Prudence, 2014. "Intrahousehold distribution and poverty: Evidence from Côte d'Ivoire," Journal of Development Economics, Elsevier, vol. 107(C), pages 262-276.
    5. Olivier Bargain & Olivier Donni & Prudence Kwenda, 2011. "Intrahousehold Distribution and Child Poverty: Theory and Evidence from Côte d'Ivoire," Working Papers 2011-031, Human Capital and Economic Opportunity Working Group.
    6. Geoffrey R. Dunbar & Arthur Lewbel & Krishna Pendakur, 2021. "Identification of Random Resource Shares in Collective Households Without Preference Similarity Restrictions," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 39(2), pages 402-421, March.
    7. R. Bollinger, Christopher & Nicoletti, Cheti & Pudney, Stephen, 2012. "Two can live as cheaply as one… but three’s a crowd," ISER Working Paper Series 2012-10, Institute for Social and Economic Research.
    8. Olivier Bargain & Olivier Donni & Monnet Gbakou, 2010. "The Measurement of Child Costs: Evidence from Ireland," The Economic and Social Review, Economic and Social Studies, vol. 41(1), pages 1-20.
    9. Olivier Bargain & Laurine Martinoty, 2019. "Crisis at home: mancession-induced change in intrahousehold distribution," Journal of Population Economics, Springer;European Society for Population Economics, vol. 32(1), pages 277-308, January.
    10. Bargain, Olivier & Donni, Olivier & Magejo, Prudence, 2011. "Intrahousehold Distribution and Child Poverty: Theory and Evidence from Côte d’Ivoire," IZA Discussion Papers 6029, Institute of Labor Economics (IZA).
    11. Alessandro Balestrino, 2015. "Family Taxation, Fertility, and Horizontal Equity," Public Finance Review, , vol. 43(3), pages 402-427, May.
    12. Casco José L., 2022. "Intra-household Resource Shares under Poverty Transfers: Evidence from Ecuador," Working Papers 2022-03, Banco de México.
    13. HORI Masahiro, 2011. "The expenditure on children in Japan," ESRI Discussion paper series 279, Economic and Social Research Institute (ESRI).
    14. Christopher R. Bollinger & Cheti Nicoletti & Stephen Pudney, 2012. "Two can live as cheaply as one... But three's a crowd," Discussion Papers 12/23, Department of Economics, University of York.

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    More about this item

    Keywords

    Rothbarth method; consumer demand; cost of children; scale economies; indifference scales; equivalence scales; collective model;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
    • I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being
    • J12 - Labor and Demographic Economics - - Demographic Economics - - - Marriage; Marital Dissolution; Family Structure

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