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Overcoming Weak Identification in the Estimation of Household Resource Shares

Author

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  • Denni Tommasi
  • Alexander Wolf
Abstract
Dunbar et al. (2013) develop a collective model of the household that allows to identify resource shares, that is, how total household resources are divided up among household members. We show why, especially when the data exhibit relatively flat Engel curves, the model is weakly identified and induces high variability and an implausible pattern in least squares estimates. We propose an estimation strategy nested in their framework that greatly reduces this practical impediment to recovery of individual resource shares. To achieve this, we follow an empirical Bayes method that incorporates additional (or out-of-sample) information on singles and relies on mild assumptions on preferences. We show the practical usefulness of this strategy through a series of Monte Carlo simulations and by applying it to Mexican data. The results show that our approach is robust, gives a plausible picture of the household decision process, and is particularly beneficial for the practitioner who wishes to apply the DLP framework. Our welfare analysis of the PROGRESA program in Mexico is the first to include separate poverty rates for men and women in a CCT program.

Suggested Citation

  • Denni Tommasi & Alexander Wolf, 2016. "Overcoming Weak Identification in the Estimation of Household Resource Shares," Working Papers ECARES ECARES 2016-12, ULB -- Universite Libre de Bruxelles.
    • Handle: RePEc:eca:wpaper:2013/228583
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    References listed on IDEAS

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    Cited by:

    1. Senay Sokullu & Christine Valente, 2022. "Individual consumption in collective households: Identification using repeated observations with an application to PROGRESA," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 37(2), pages 286-304, March.
    2. Jose L. Casco, 2023. "The effects of cash and in-kind transfers on intra-household inequality: Insights from a randomized experiment," Economics Bulletin, AccessEcon, vol. 43(3), pages 1519-1527.
    3. Tommasi, Denni, 2019. "Control of resources, bargaining power and the demand of food: Evidence from PROGRESA," Journal of Economic Behavior & Organization, Elsevier, vol. 161(C), pages 265-286.
    4. Denni Tommasi & Arthur Lewbel & Rossella Calvi, 2017. "LATE with Mismeasured or Misspecified Treatment: An application to Women's Empowerment in India," Working Papers ECARES ECARES 2017-27, ULB -- Universite Libre de Bruxelles.
    5. Donni, Olivier & Molina, José Alberto, 2018. "Household Collective Models: Three Decades of Theoretical Contributions and Empirical Evidence," IZA Discussion Papers 11915, Institute of Labor Economics (IZA).
    6. Denni Tommasi, 2016. "Household Responses to cash Transfers," Working Papers ECARES ECARES 2016-20, ULB -- Universite Libre de Bruxelles.
    7. Echeverría, Lucía, 2020. "Modelos colectivos de consumo y distribución intra-hogar. Teoría y aplicaciones," Nülan. Deposited Documents 3832, Universidad Nacional de Mar del Plata, Facultad de Ciencias Económicas y Sociales, Centro de Documentación.
    8. 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.
    9. José L. Casco, 2024. "Intra-household resource shares under poverty transfers: evidence from Ecuador," Review of Economics of the Household, Springer, vol. 22(3), pages 1243-1274, September.
    10. Alexander Wolf, 2016. "Resource Allocation in Couples. A Collective Model with Prior Information," Working Papers ECARES ECARES 2016-37, ULB -- Universite Libre de Bruxelles.
    11. Bram De Rock & Tom Potoms & Denni Tommasi, 2022. "Household Responses to Cash Transfers," Economic Development and Cultural Change, University of Chicago Press, vol. 70(2), pages 625-652.
    12. Tommasi, Denni & Wolf, Alexander, 2018. "Estimating household resource shares: A shrinkage approach," Economics Letters, Elsevier, vol. 163(C), pages 75-78.

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    More about this item

    Keywords

    collective model; sharing rule; resource shares; demand system; engel curve; bayes method; conditional cash transfers; PROGRESA;
    All these keywords.

    JEL classification:

    • D13 - Microeconomics - - Household Behavior - - - Household Production and Intrahouse Allocation
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models
    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty

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