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Overcoming Weak Identification in the Estimation of Household Resource Shares

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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. Denni Tommasi, 2016. "Household Responses to cash Transfers," Working Papers ECARES ECARES 2016-20, ULB -- Universite Libre de Bruxelles.
    2. 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.
    3. Olivier Bargain & Laurine Martinoty, 2018. "Crisis at Home: Mancession-induced Change in Intrahousehold Distribution," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01770180, HAL.
    4. Alexander Wolf, 2016. "Resource Allocation in Couples. A Collective Model with Prior Information," Working Papers ECARES ECARES 2016-37, ULB -- Universite Libre de Bruxelles.
    5. repec:eee:ecolet:v:163:y:2018:i:c:p:75-78 is not listed on IDEAS

    More about this item

    Keywords

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

    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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