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Sharing rule identification for general collective consumption models

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  • Laurens CHERCHYE
  • Bram DE ROCK
  • Arthur LEWBEL
  • Frederic VERMEULEN

Abstract

We propose a method to identify bounds (i.e. set identification) on the sharing rule for a general collective household consumption model. Unlike the effects of distribution factors, it is well known that the level of the sharing rule cannot be uniquely identified without strong assumptions on preferences across households of different compositions. Our new results show that, though not point identified without these assumptions, bounds on the sharing rule can still be obtained. We get these bounds by applying revealed preference restrictions implied by the collective model to the household’s continuous aggregate demand functions. We obtain informative bounds even if nothing is known about whether each good is public, private, or assignable within the household, though having such information tightens the bounds. An empirical application demonstrates the practical usefulness of our method.

Suggested Citation

  • Laurens CHERCHYE & Bram DE ROCK & Arthur LEWBEL & Frederic VERMEULEN, 2012. "Sharing rule identification for general collective consumption models," Working Papers Department of Economics ces12.05, KU Leuven, Faculty of Economics and Business, Department of Economics.
  • Handle: RePEc:ete:ceswps:ces12.05
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    Cited by:

    1. Jean-paul Chavas & Martina Menon & Federico Perali, 2014. "The Sharing Rule: Where Is It?," Working Papers 27/2014, University of Verona, Department of Economics.
    2. Piao, Xiangdan, 2017. "In search of a comprehensive picture of the gender gap: An examination of male and female choices of labor supply, leisure, consumption, and home production," RCESR Discussion Paper Series DP17-3, Research Center for Economic and Social Risks, Institute of Economic Research, Hitotsubashi University.
    3. Jeremy Lise & Ken Yamada, 2014. "Household Sharing and Commitment: Evidence from Panel Data on Individual Expenditures and Time Use," IFS Working Papers W14/05, Institute for Fiscal Studies.
    4. DECANCQ, Koen & FLEURBAEY, Marc & SCHOKKAERT, Erik, 2014. "Inequality, income, and well-being," CORE Discussion Papers 2014018, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Cherchye, Laurens & De Rock, Bram & Demuynck, Thomas, 0. "Transitivity of preferences: when does it matter?," Theoretical Economics, Econometric Society.
    6. Colombino, Ugo & Narazani, Edlira, 2014. "Closing the Gender Gap: Gender Based Taxation, Wage Subsidies or Basic Income?," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201412, University of Turin.
    7. 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.
    8. Laurens Cherchye & Bram De Rock & Selma Telalagic Walther & Frederic Vermeulen, 2016. "Where Did It Go Wrong? Marriage and Divorce In Malawi," Economics Series Working Papers 786, University of Oxford, Department of Economics.
    9. Bredemeier, Christian & Gravert, Jan & Juessen, Falko, 2016. "Estimating Labor-Supply Elasticities with Joint Borrowing Constraints of Couples," IZA Discussion Papers 10267, Institute for the Study of Labor (IZA).
    10. Laurens Cherchye & Thomas Demuynck & Bram De Rock & Frederic Vermeulen, 2017. "Household Consumption When the Marriage Is Stable," American Economic Review, American Economic Association, vol. 107(6), pages 1507-1534, June.
    11. Laurens Cherchye & Sam Cosaert & Thomas Demuynck & Bram De Rock, 2017. "Group Consumption with Caring Individuals," Working Papers ECARES ECARES 2017-45, ULB -- Universite Libre de Bruxelles.
    12. Pierre-Andre Chiappori & Costas Meghir, 2014. "Intrahousehold Inequality," Cowles Foundation Discussion Papers 1948, Cowles Foundation for Research in Economics, Yale University.
    13. Colombino Ugo & Narazani Edlira, 2012. "What’s Best for Women: Gender Based Taxation, Wage Subsidies or Basic Income?"," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201212, University of Turin.
    14. 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.
    15. Laurens CHERCHYE & Thomas DEMUYNCK & Bram DE ROCK, 2010. "Noncooperative household consumption with caring," Working Papers Department of Economics ces10.34, KU Leuven, Faculty of Economics and Business, Department of Economics.
    16. Daniel Burkhard, 2015. "Allocation of Expenditures in Elderly Households and the Cost of Widowhood," Diskussionsschriften dp1503, Universitaet Bern, Departement Volkswirtschaft.
    17. Pierre-Andre Chiappori & Costas Meghir, 2014. "Intra-household Welfare," Cowles Foundation Discussion Papers 1949, Cowles Foundation for Research in Economics, Yale University.
    18. Laurens Cherchye & Bram De Rock & Khushboo Surana & Frederic Vermeulen, 2016. " Marital matching, economies of scale and intrahousehold allocations," Working Papers Department of Economics 551159, KU Leuven, Faculty of Economics and Business, Department of Economics.
    19. Laurens Cherchye & Thomas Demuynck & Bram De Rock & Frederic Vermeulen, 2014. "Household consumption when marriage is stable," IFS Working Papers W14/26, Institute for Fiscal Studies.
    20. Hubner, Stefan, 2016. "Topics in nonparametric identification and estimation," Other publications TiSEM 08fce56b-3193-46e0-871b-0, Tilburg University, School of Economics and Management.
    21. Laurens Cherchye & Sam Cosaert & Bram De Rock & Pieter Jan Kerstens & Frederic Vermeulen, 2017. "Individual Welfare Analysis for Collective Households," Working Papers ECARES ECARES 2017-44, ULB -- Universite Libre de Bruxelles.
    22. Santaeulàlia-Llopis, Raül ; Zheng, Yu, 2016. "Missing Consumption Inequality: Direct Evidence from Individual Food Data," Economics Working Papers ECO2016/12, European University Institute.
    23. Geoffrey R. Dunbar & Arthur Lewbel & Krishna Pendakur, 2017. "Identification of Random Resource Shares in Collective Households Without Preference Similarity Restrictions," Staff Working Papers 17-45, Bank of Canada.
    24. Colombino, Ugo & Narazani, Edlira, 2013. "What’s best for women: gender based taxation, wage subsidies or basic income?," EUROMOD Working Papers EM10/13, EUROMOD at the Institute for Social and Economic Research.
    25. Laurens Cherchye & Bram De Rock & Thomas Demuynck, 2017. "Bounding Counterfactual Demand with Unobserved Heterogeneity and Endogenous Expenditures," Working Papers ECARES ECARES 2017-41, ULB -- Universite Libre de Bruxelles.

    More about this item

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • D13 - Microeconomics - - Household Behavior - - - Household Production and Intrahouse Allocation
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General

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