IDEAS home Printed from https://ideas.repec.org/p/wpc/wplist/wp07_03.html
   My bibliography  Save this paper

Estimation of the Sharing Rule between Adults and Children and Related Equivalence Scales within a Collective Consumption Framework

Author

Listed:
  • Carlos Arias

    ()

  • Vincenzo Atella

    ()

  • Raffaella Castagnini

    ()

  • Federico Perali

    ()

Abstract

In order to determine how much money is needed to make each household member as well off as they were before a change in living conditions, equivalence scales should be defined on the basis of individual rather than household welfare. This requires the knowledge of individual utilities that are derivable from the identification of the rule governing the intra-household allocation of resources within a collective approach. We pursue this objective using information about male, female and children clothing expenditure present in the 1999 Italian Household budget survey within the estimation of a complete demand system. The sharing rule between adults and children is estimated using a structural rather than a reduced form approach. Maximum simulated likelihood is used to estimate a collective model of individual demand equations with zero expenditures for the exclusive good clothing. The recovery of individual utilities for adults and children permits the estimation of the cost of children taking the intra-household distribution of resources into account. We show that the cost of Italian children is significantly affected by the parents’ aversion to intra-household inequality.

Suggested Citation

  • Carlos Arias & Vincenzo Atella & Raffaella Castagnini & Federico Perali, 2003. "Estimation of the Sharing Rule between Adults and Children and Related Equivalence Scales within a Collective Consumption Framework," CHILD Working Papers wp07_03, CHILD - Centre for Household, Income, Labour and Demographic economics - ITALY.
  • Handle: RePEc:wpc:wplist:wp07_03
    as

    Download full text from publisher

    File URL: http://www.child.carloalberto.org/images/wp/child07_2003.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Lewbel, Arthur, 1991. "Cost of characteristics indices and household equivalence scales," European Economic Review, Elsevier, vol. 35(6), pages 1277-1293, August.
    2. BLACKORBY, Charles & BOSSERT, Walter, 2004. "Interpersonal Comparisons of Well-Being," Cahiers de recherche 2004-06, Universite de Montreal, Departement de sciences economiques.
    3. Pollak, Robert A & Wales, Terence J, 1981. "Demographic Variables in Demand Analysis," Econometrica, Econometric Society, vol. 49(6), pages 1533-1551, November.
    4. 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.
    5. Pendakur, Krishna, 1998. "Semiparametric estimates and tests of base-independent equivalence scales," Journal of Econometrics, Elsevier, vol. 88(1), pages 1-40, November.
    6. Borsch-Supan, Axel & Hajivassiliou, Vassilis A., 1993. "Smooth unbiased multivariate probability simulators for maximum likelihood estimation of limited dependent variable models," Journal of Econometrics, Elsevier, vol. 58(3), pages 347-368, August.
    7. 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.
    8. Carlos Arias & Thomas Cox, 2001. "Estimation of a US dairy sector model by maximum simulated likelihood," Applied Economics, Taylor & Francis Journals, vol. 33(9), pages 1201-1211.
    9. Gronau, Reuben, 1997. "The Theory of Home Production: The Past Ten Years," Journal of Labor Economics, University of Chicago Press, vol. 15(2), pages 197-205, April.
    10. Hajivassiliou, Vassilis & McFadden, Daniel & Ruud, Paul, 1996. "Simulation of multivariate normal rectangle probabilities and their derivatives theoretical and computational results," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 85-134.
    11. F. Pedrali, 2002. "Can PIGLOG Preferences Identify Equivalence Scales ?," THEMA Working Papers 2002-03, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    12. Richard Blundell & Alan Duncan, 1998. "Kernel Regression in Empirical Microeconomics," Journal of Human Resources, University of Wisconsin Press, vol. 33(1), pages 62-87.
    13. 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.
    14. 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.
    15. Lyssiotou, Panayiota & Pashardes, Panos & Stengos, Thanasis, 1999. "Testing the rank of Engel curves with endogenous expenditure," Economics Letters, Elsevier, vol. 64(1), pages 61-65, July.
    16. Chiappori, Pierre-Andre, 1988. "Rational Household Labor Supply," Econometrica, Econometric Society, vol. 56(1), pages 63-90, January.
    17. Goldberger, Arthur S, 1972. "Maximum-Likelihood Estimation of Regressions Containing Unobservable Independent Variables," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(1), pages 1-15, February.
    18. Stern, Steven, 1992. "A Method for Smoothing Simulated Moments of Discrete Probabilities in Multinomial Probit Models," Econometrica, Econometric Society, vol. 60(4), pages 943-952, July.
    19. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 31(3), pages 129-137.
    20. Arthur Lewbel, 1985. "A Unified Approach to Incorporating Demographic or Other Effects into Demand Systems," Review of Economic Studies, Oxford University Press, vol. 52(1), pages 1-18.
    21. Federico Perali & Jean-Paul Chavas, 2000. "Estimation of Censored Demand Equations from Large Cross-Section Data," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 82(4), pages 1022-1037.
    22. Pierre-Andre Chiappori & Bernard Fortin & Guy Lacroix, 2002. "Marriage Market, Divorce Legislation, and Household Labor Supply," Journal of Political Economy, University of Chicago Press, vol. 110(1), pages 37-72, February.
    23. Mroz, Thomas A, 1987. "The Sensitivity of an Empirical Model of Married Women's Hours of Work to Economic and Statistical Assumptions," Econometrica, Econometric Society, vol. 55(4), pages 765-799, July.
    24. Gozalo, Pedro L., 1997. "Nonparametric bootstrap analysis with applications to demographic effects in demand functions," Journal of Econometrics, Elsevier, vol. 81(2), pages 357-393, December.
    25. Chiappori, Pierre-Andre, 1992. "Collective Labor Supply and Welfare," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 437-467, June.
    26. C. Andrea Bollino & Federico Perali & Nicola Rossi, 2000. "Linear household technologies," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(3), pages 275-287.
    27. Heckman, James J, 1974. "Shadow Prices, Market Wages, and Labor Supply," Econometrica, Econometric Society, vol. 42(4), pages 679-694, July.
    28. Vincenzo Atella & Martina Menon & Federico Perali, 2003. "Estimation of Unit Values in Cross Sections without Quantity Information and Implications for Demand and Welfare Analysis," CEIS Research Paper 12, Tor Vergata University, CEIS.
    29. Lewbel, Arthur, 1989. "Household equivalence scales and welfare comparisons," Journal of Public Economics, Elsevier, vol. 39(3), pages 377-391, August.
    30. Carlos Arias & THOMAS L. COX, 1999. "Maximum Simulated Likelihood: A Brief Introduction for Practitioners," Wisconsin-Madison Agricultural and Applied Economics Staff Papers 421, Wisconsin-Madison Agricultural and Applied Economics Department.
    31. Antonella Caiumi & Federico Perali, 1999. "Children And Intrahousehold Distribution Of Resources: An Estimate Of The Sharing Rule Of Italian Households," CHILD Working Papers wp07_00, CHILD - Centre for Household, Income, Labour and Demographic economics - ITALY.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lucia MANGIAVACCHI & Federico PERALI & Luca Piccoli, 2018. "Intrahousehold Distribution in Migrant-Sending Families," JODE - Journal of Demographic Economics, Cambridge University Press, vol. 84(1), pages 107-148, March.
    2. Chavas, Jean-Paul & Menon, Martina & Pagani, Elisa & Perali, Federico, 2018. "Collective household welfare and intra-household inequality," Theoretical Economics, Econometric Society, vol. 13(2), May.
    3. Antonella Caiumi & Federico Perali, 2015. "Who bears the full cost of children? Evidence from a collective demand system," Empirical Economics, Springer, vol. 49(1), pages 33-64, August.
    4. Eleonora Matteazzi & Martina Menon & Federico Perali, 2017. "The Collective Farm-household Model: Policy and Welfare Simulations," Applied Economic Perspectives and Policy, Agricultural and Applied Economics Association, vol. 39(1), pages 111-153.
    5. Martina Menon & Federico Perali & Luca Piccoli, 2008. "The passive drinking effect: Evidence from Italy," Working Papers halshs-00586686, HAL.
    6. Martina Menon & Federico Perali & Marcella Veronesi, 2014. "Recovering Individual Preferences for Non-Market Goods: A Collective Travel-Cost Model," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 96(2), pages 438-457.
    7. M. Menon & F. Perali & F. Rosati, 2005. "The Shadow Wage of Child Labour: An Application to Nepal," UCW Working Paper 11, Understanding Children's Work (UCW Programme).
    8. Martina Menon & Federico Perali, 2012. "The Sharing Rule: Where Is It?," Working Papers 16/2012, University of Verona, Department of Economics.

    More about this item

    Keywords

    Collective Approach; Sharing Rule; Clothing; Equivalence Scales;

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • D10 - Microeconomics - - Household Behavior - - - General
    • J10 - Labor and Demographic Economics - - Demographic Economics - - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wpc:wplist:wp07_03. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Giovanni Bert). General contact details of provider: http://edirc.repec.org/data/childit.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.