IDEAS home Printed from https://ideas.repec.org/a/spr/empeco/v62y2022i2d10.1007_s00181-021-02033-3.html
   My bibliography  Save this article

Unitary or collective households? A nonparametric rationality and separability test using detailed data on consumption expenditures and time use

Author

Listed:
  • Dieter Saelens

    (University of Leuven (KU Leuven))

Abstract

We document a nonparametric test for weak separability between time use and consumption goods applied to unique time-use data on Belgian singles and households. The test outcomes reject the hypothesis of weak separability, indicating that household consumption decisions are not made independent from time-use allocations. Second, we conduct a nonparametric evaluation of unitary and collective rationality tests under a comprehensive setting studying choices on both private and public consumption in combination with time spent on labour supply and domestic work. This makes the analysis less vulnerable to separability issues and obtains a more realistic description of household trade-offs between consumption and time use (i.e. leisure and domestic work) than does the existing work. Moreover, our analysis uses nonparametric revealed preference tools and abstains from imposing functional form assumptions on the individual utilities and the household decision process. The outcomes confirm previous findings validating the use of collective models to analyse multi-member decision making. Lastly, we show the robustness of our outcomes to settings typically considered in existing work (missing detailed time-use information).

Suggested Citation

  • Dieter Saelens, 2022. "Unitary or collective households? A nonparametric rationality and separability test using detailed data on consumption expenditures and time use," Empirical Economics, Springer, vol. 62(2), pages 637-677, February.
  • Handle: RePEc:spr:empeco:v:62:y:2022:i:2:d:10.1007_s00181-021-02033-3
    DOI: 10.1007/s00181-021-02033-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00181-021-02033-3
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s00181-021-02033-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Syngjoo Choi & Shachar Kariv & Wieland M?ller & Dan Silverman, 2014. "Who Is (More) Rational?," American Economic Review, American Economic Association, vol. 104(6), pages 1518-1550, June.
    2. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    3. Jeremy Lise & Shannon Seitz, 2011. "Consumption Inequality and Intra-household Allocations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 328-355.
    4. Yuk-fai Fong & Junsen Zhang, 2001. "The Identification of Unobservable Independent and Spousal Leisure," Journal of Political Economy, University of Chicago Press, vol. 109(1), pages 191-202, February.
    5. M. Browning & P. A. Chiappori, 1998. "Efficient Intra-Household Allocations: A General Characterization and Empirical Tests," Econometrica, Econometric Society, vol. 66(6), pages 1241-1278, November.
    6. Cherchye, Laurens & De Rock, Bram & Sabbe, Jeroen & Vermeulen, Frederic, 2008. "Nonparametric tests of collectively rational consumption behavior: An integer programming procedure," Journal of Econometrics, Elsevier, vol. 147(2), pages 258-265, December.
    7. Afriat, Sidney N, 1972. "Efficiency Estimation of Production Function," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(3), pages 568-598, October.
    8. Browning, Martin & Francois Bourguignon & Pierre-Andre Chiappori & Valerie Lechene, 1994. "Income and Outcomes: A Structural Model of Intrahousehold Allocation," Journal of Political Economy, University of Chicago Press, vol. 102(6), pages 1067-1096, December.
    9. Sam Cosaert, 2019. "What Types are There?," Computational Economics, Springer;Society for Computational Economics, vol. 53(2), pages 533-554, February.
    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. Federico Echenique & Sangmok Lee & Matthew Shum, 2011. "The Money Pump as a Measure of Revealed Preference Violations," Journal of Political Economy, University of Chicago Press, vol. 119(6), pages 1201-1223.
    12. Fabrice Talla Nobibon & Laurens Cherchye & Yves Crama & Thomas Demuynck & Bram De Rock & Frits C. R. Spieksma, 2016. "Revealed Preference Tests of Collectively Rational Consumption Behavior: Formulations and Algorithms," Operations Research, INFORMS, vol. 64(6), pages 1197-1216, December.
    13. Gross, John, 1995. "Testing Data for Consistency with Revealed Preference," The Review of Economics and Statistics, MIT Press, vol. 77(4), pages 701-710, November.
    14. Richard Blundell & Pierre-Andre Chiappori & Thierry Magnac & Costas Meghir, 2007. "Collective Labour Supply: Heterogeneity and Non-Participation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(2), pages 417-445.
    15. Varian, Hal R., 1990. "Goodness-of-fit in optimizing models," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 125-140.
    16. Donni, Olivier, 2003. "Collective household labor supply: nonparticipation and income taxation," Journal of Public Economics, Elsevier, vol. 87(5-6), pages 1179-1198, May.
    17. Andreoni,J. & Harbaugh,W.T., 2005. "Power indices for revealed preference tests," Working papers 10, Wisconsin Madison - Social Systems.
    18. François Bourguignon & Martin Browning & Pierre-André Chiappori & Valérie Lechene, 1993. "Intra Household Allocation of Consumption: A Model and some Evidence from French Data," Annals of Economics and Statistics, GENES, issue 29, pages 137-156.
    19. Sam Cosaert & Thomas Demuynck, 2018. "Nonparametric Welfare and Demand Analysis with Unobserved Individual Heterogeneity," The Review of Economics and Statistics, MIT Press, vol. 100(2), pages 349-361, May.
    20. Fortin, Bernard & Lacroix, Guy, 1997. "A Test of the Unitary and Collective Models of Household Labour Supply," Economic Journal, Royal Economic Society, vol. 107(443), pages 933-955, July.
    21. Laurens Cherchye & Frederic Vermeulen, 2008. "Nonparametric Analysis of Household Labor Supply: Goodness of Fit and Power of the Unitary and the Collective Model," The Review of Economics and Statistics, MIT Press, vol. 90(2), pages 267-274, May.
    22. Arthur Lewbel & Krishna Pendakur, 2009. "Tricks with Hicks: The EASI Demand System," American Economic Review, American Economic Association, vol. 99(3), pages 827-863, June.
    23. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2009. "Opening the Black Box of Intrahousehold Decision Making: Theory and Nonparametric Empirical Tests of General Collective Consumption Models," Journal of Political Economy, University of Chicago Press, vol. 117(6), pages 1074-1104, December.
    24. repec:hal:spmain:info:hdl:2441/f0uohitsgqh8dhk9820172631 is not listed on IDEAS
    25. Hjertstrand, Per, 2020. "Income Elasticities Without Parameters," Working Paper Series 1324, Research Institute of Industrial Economics.
    26. Richard W. Blundell & Martin Browning & Ian A. Crawford, 2003. "Nonparametric Engel Curves and Revealed Preference," Econometrica, Econometric Society, vol. 71(1), pages 205-240, January.
    27. Sørensen, Jesper R.-V. & Fosgerau, Mogens, 2022. "How McFadden met Rockafellar and learned to do more with less," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    28. Martin Browning & Mette Gørtz, 2012. "Spending Time and Money within the Household," Scandinavian Journal of Economics, Wiley Blackwell, vol. 114(3), pages 681-704, September.
    29. Frederic Vermeulen, 2005. "And the winner is... An empirical evaluation of unitary and collective labour supply models," Empirical Economics, Springer, vol. 30(3), pages 711-734, October.
    30. Sam Cosaert & Alexandros Theloudis & Bertrand Verheyden, 2023. "Togetherness in the Household," American Economic Journal: Microeconomics, American Economic Association, vol. 15(1), pages 529-579, February.
    31. Richard Blundell & Jean-Marc Robin, 2000. "Latent Separability: Grouping Goods without Weak Separability," Econometrica, Econometric Society, vol. 68(1), pages 53-84, January.
    32. Michaud, Pierre-Carl & Vermeulen, Frederic, 2011. "A collective labor supply model with complementarities in leisure: Identification and estimation by means of panel data," Labour Economics, Elsevier, vol. 18(2), pages 159-167, April.
    33. Castillo, Marco & Freer, Mikhail, 2018. "Revealed differences," Journal of Economic Behavior & Organization, Elsevier, vol. 145(C), pages 202-217.
    34. Bart Capéau & Laurens Cherchye & Koen Decancq & André Decoster & Bram De Rock & François Maniquet & Annemie Nys & Guillaume Périlleux & Eve Ramaekers & Zoé Rongé & Erik Schokkaert & Frederic Vermeulen, 2020. "Well-being in Belgium," Economic Studies in Inequality, Social Exclusion, and Well-Being, Springer, number 978-3-030-58509-9, July.
    35. Ian Crawford, 2004. "Necessary and sufficient conditions for latent separability," IFS Working Papers W04/17, Institute for Fiscal Studies.
    36. Ian Crawford & Krishna Pendakur, 2013. "How many types are there?," Economic Journal, Royal Economic Society, vol. 123, pages 77-95, March.
    37. Kaushik Basu, 2006. "Gender and Say: a Model of Household Behaviour with Endogenously Determined Balance of Power," Economic Journal, Royal Economic Society, vol. 116(511), pages 558-580, April.
    38. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762, September.
    39. François Bourguignon & Martin Browning & Pierre-André Chiappori, 2009. "Efficient Intra-Household Allocations and Distribution Factors: Implications and Identification," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(2), pages 503-528.
    40. Sabrina Bruyneel & Laurens Cherchye & Bram De Rock, 2012. "Collective consumption models with restricted bargaining weights: an empirical assessment on experimental data," ULB Institutional Repository 2013/131707, ULB -- Universite Libre de Bruxelles.
    41. Fabrice Talla Nobibon & Laurens Cherchye & Yves Crama & Thomas Demuynck & Bram De Rock & Frits C. R. Spieksma, 2016. "Revealed Preference Tests of Collectively Rational Consumption Behavior: Formulations and Algorithms," Operations Research, INFORMS, vol. 64(6), pages 1197-1216, December.
    42. repec:adr:anecst:y:1993:i:29:p:07 is not listed on IDEAS
    43. Browning,Martin & Chiappori,Pierre-André & Weiss,Yoram, 2014. "Economics of the Family," Cambridge Books, Cambridge University Press, number 9780521795395.
    44. Hal R. Varian, 1983. "Non-parametric Tests of Consumer Behaviour," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(1), pages 99-110.
    45. Stefan Hoderlein & Jörg Stoye, 2014. "Revealed Preferences in a Heterogeneous Population," The Review of Economics and Statistics, MIT Press, vol. 96(2), pages 197-213, May.
    46. Jeremy Lise & Ken Yamada, 2019. "Household Sharing and Commitment: Evidence from Panel Data on Individual Expenditures and Time Use," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(5), pages 2184-2219.
    47. Hugh Rose, 1958. "Consistency of Preference: The Two-Commodity Case," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 25(2), pages 124-125.
    48. 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.
    49. Chiappori, Pierre-Andre, 1988. "Rational Household Labor Supply," Econometrica, Econometric Society, vol. 56(1), pages 63-90, January.
    50. Ian Crawford & Matthew Polisson, 2015. "Demand Analysis with Partially Observed Prices," Discussion Papers in Economics 15/12, Division of Economics, School of Business, University of Leicester, revised Dec 2016.
    51. Timothy K. M. Beatty & Ian A. Crawford, 2011. "How Demanding Is the Revealed Preference Approach to Demand?," American Economic Review, American Economic Association, vol. 101(6), pages 2782-2795, October.
    52. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2011. "The revealed preference approach to collective consumption behavior: nonparametric testing and sharing rule recovery," ULB Institutional Repository 2013/98560, ULB -- Universite Libre de Bruxelles.
    53. 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.
    54. Chiappori, Pierre-Andre, 1992. "Collective Labor Supply and Welfare," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 437-467, June.
    55. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2011. "The Revealed Preference Approach to Collective Consumption Behaviour: Testing and Sharing Rule Recovery," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 176-198.
    56. Susan K. Snyder, 2000. "Nonparametric Testable Restrictions of Household Behavior," Southern Economic Journal, John Wiley & Sons, vol. 67(1), pages 171-185, July.
    57. Chavas, Jean-Paul & Cox, Thomas L., 1997. "On nonparametric demand analysis," European Economic Review, Elsevier, vol. 41(1), pages 75-95, January.
    58. W. E. Diewert, 1973. "Afriat and Revealed Preference Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 40(3), pages 419-425.
    59. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2011. "The Revealed Preference Approach to Collective Consumption Behaviour: Testing and Sharing Rule Recovery," Review of Economic Studies, Oxford University Press, vol. 78(1), pages 176-198.
    60. James Andreoni & John Miller, 2002. "Giving According to GARP: An Experimental Test of the Consistency of Preferences for Altruism," Econometrica, Econometric Society, vol. 70(2), pages 737-753, March.
    61. Sabrina Bruyneel & Laurens Cherchye & Bram De Rock, 2012. "Collective consumption models with restricted bargaining weights: an empirical assessment based on experimental data," Review of Economics of the Household, Springer, vol. 10(3), pages 395-421, September.
    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. Zhongwu Li & Fengzhi Lu, 2024. "The power of Internet: from the perspective of women’s bargaining power," Palgrave Communications, Palgrave Macmillan, vol. 11(1), pages 1-12, December.
    2. Xiangdan Piao, 2023. "Intra-Household Income Management and Couple’s Relative Sharing of Income and Environment Sustainability in Japan," Sustainability, MDPI, vol. 15(7), pages 1-17, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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).
    2. Laurens CHERCHYE & Thomas DEMUYNCK & Bram DE ROCK, 2010. "Noncooperative household consumption with caring," Working Papers of Department of Economics, Leuven ces10.34, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    3. Cherchye, Laurens & Cosaert, Sam & De Rock, Bram & Kerstens, Pieter Jan & Vermeulen, Frederic, 2018. "Individual welfare analysis for collective households," Journal of Public Economics, Elsevier, vol. 166(C), pages 98-114.
    4. 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.
    5. Laurens Cherchye & Thomas Demuynck & Bram De Rock, 2011. "Revealed Preference Analysis of Non‐Cooperative Household Consumption," Economic Journal, Royal Economic Society, vol. 121(555), pages 1073-1096, September.
    6. Smeulders, Bart & Crama, Yves & Spieksma, Frits C.R., 2019. "Revealed preference theory: An algorithmic outlook," European Journal of Operational Research, Elsevier, vol. 272(3), pages 803-815.
    7. Laurens CHERCHYE & Bram DE ROCK & Jeroen SABBE & Ewout VERRIEST, 2010. "Commitment in intertemporal household consumption: a revealed preference analysis," Working Papers of Department of Economics, Leuven ces10.33, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    8. Ian Crawford & Bram De Rock, 2014. "Empirical Revealed Preference," Annual Review of Economics, Annual Reviews, vol. 6(1), pages 503-524, August.
    9. De Rock, Bram & Cherchye, Laurens & Chiappori, Pierre-André & Ringdal, Charlotte & Vermeulen, Frederic, 2021. "Feed the children," CEPR Discussion Papers 16482, C.E.P.R. Discussion Papers.
    10. Denni Tommasi, 2016. "Household Responses to cash Transfers," Working Papers ECARES ECARES 2016-20, ULB -- Universite Libre de Bruxelles.
    11. Laurens Cherchye & Sam Cosaert & Thomas Demuynck & Bram De Rock, 2020. "Group Consumption with Caring Individuals," The Economic Journal, Royal Economic Society, vol. 130(627), pages 587-622.
    12. Laurens Cherchye & Thomas Demuynck & Bram De Rock, 2013. "Nash‐Bargained Consumption Decisions: A Revealed Preference Analysis," Economic Journal, Royal Economic Society, vol. 123, pages 195-235, March.
    13. Sam Cosaert & Veerle Hennebel, 2023. "Parental Childcare with Process Benefits," Economica, London School of Economics and Political Science, vol. 90(357), pages 339-371, January.
    14. Sabrina Bruyneel & Laurens Cherchye & Bram De Rock, 2012. "Collective consumption models with restricted bargaining weights: an empirical assessment based on experimental data," Review of Economics of the Household, Springer, vol. 10(3), pages 395-421, September.
    15. Sam Cosaert & Alexandros Theloudis & Bertrand Verheyden, 2023. "Togetherness in the Household," American Economic Journal: Microeconomics, American Economic Association, vol. 15(1), pages 529-579, February.
    16. 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.
    17. Khushboo Surana, 2022. "How different are we? Identifying the degree of revealed preference heterogeneity," Discussion Papers 22/09, Department of Economics, University of York.
    18. Cherchye, L.J.H. & Demuynck, T. & de Rock, B., 2009. "Degrees of Cooperation in Household Consumption Models : A Revealed Preference Analysis," Discussion Paper 2009-91, Tilburg University, Center for Economic Research.
    19. 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.
    20. Olivier Bargain & Guy Lacroix & Luca Tiberti, 2021. "Intrahousehold Resource Allocation and Individual Poverty: Assessing Collective Model Predictions against Direct Evidence on Sharing," Working Papers hal-03432676, HAL.

    More about this item

    Keywords

    Weak separability; Collective household models; Labour supply; Revealed preferences; Preference heterogeneity;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • D13 - Microeconomics - - Household Behavior - - - Household Production and Intrahouse Allocation

    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:spr:empeco:v:62:y:2022:i:2:d:10.1007_s00181-021-02033-3. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.