IDEAS home Printed from https://ideas.repec.org/a/eee/econom/v211y2019i1p16-46.html
   My bibliography  Save this article

Labour supply and taxation with restricted choices

Author

Listed:
  • Beffy, Magali
  • Blundell, Richard
  • Bozio, Antoine
  • Laroque, Guy
  • Tô, Maxime

Abstract

A model of labour supply and taxation is developed in which observed hours reflect both the distribution of preferences and restrictions on choices. Hours restrictions are placed in a constrained rational choice setting in which the set of alternative hours on offer is restricted. Choices are made on a random subset of possible hours. We focus on the case where the choice set contains at most two offers. We show that when the choice set distribution is known, preferences can be identified. Conversely we show that, where preferences are known, the choice set distribution can be fully recovered. Conditions for identification of both preferences and the distribution of choice sets are also developed. We illustrate this approach in a labour supply setting with nonlinear budget constraints. Heterogeneity in the budget constraint reveals properties of the choice set. This framework is used to study the labour supply behaviour of a large sample of working age mothers in the UK, accounting for nonlinearities in the tax and welfare benefit system, fixed costs of work and restrictions on hours choices.

Suggested Citation

  • Beffy, Magali & Blundell, Richard & Bozio, Antoine & Laroque, Guy & Tô, Maxime, 2019. "Labour supply and taxation with restricted choices," Journal of Econometrics, Elsevier, vol. 211(1), pages 16-46.
  • Handle: RePEc:eee:econom:v:211:y:2019:i:1:p:16-46
    DOI: 10.1016/j.jeconom.2018.12.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304407618302331
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jeconom.2018.12.004?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 look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Richard Blundell & Ian Walker, 1986. "A Life-Cycle Consistent Empirical Model of Family Labour Supply Using Cross-Section Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(4), pages 539-558.
    2. Altonji, Joseph G, 1986. "Intertemporal Substitution in Labor Supply: Evidence from Micro Data," Journal of Political Economy, University of Chicago Press, vol. 94(3), pages 176-215, June.
    3. R. Aaberge & U. Colombino & T. Wennemo, 2009. "Evaluating Alternative Representations Of The Choice Sets In Models Of Labor Supply," Journal of Economic Surveys, Wiley Blackwell, vol. 23(3), pages 586-612, July.
    4. Richard Blundell & Alan Duncan & Costas Meghir, 1998. "Estimating Labor Supply Responses Using Tax Reforms," Econometrica, Econometric Society, vol. 66(4), pages 827-862, July.
    5. Patrick Kline & Melissa Tartari, 2016. "Bounding the Labor Supply Responses to a Randomized Welfare Experiment: A Revealed Preference Approach," American Economic Review, American Economic Association, vol. 106(4), pages 972-1014, April.
    6. Raj Chetty & John N. Friedman & Tore Olsen & Luigi Pistaferri, 2011. "Adjustment Costs, Firm Responses, and Micro vs. Macro Labor Supply Elasticities: Evidence from Danish Tax Records," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(2), pages 749-804.
    7. Arthur van Soest & Isolde Woittiez & Arie Kapteyn, 1990. "Labor Supply, Income Taxes, and Hours Restrictions in the Netherlands," Journal of Human Resources, University of Wisconsin Press, vol. 25(3), pages 517-558.
    8. Richard Blundell & John Ham & Costas Meghir, 1989. "Unemployment and Female Labour Supply," Palgrave Macmillan Books, in: Joan Muysken & Chris Neubourg (ed.), Unemployment in Europe, chapter 1, pages 9-36, Palgrave Macmillan.
    9. Hans G. Bloemen, 2008. "Job Search, Hours Restrictions, and Desired Hours of Work," Journal of Labor Economics, University of Chicago Press, vol. 26(1), pages 137-179.
    10. Arrufat, Jose Luis & Zabalza, Antonio, 1986. "Female Labor Supply with Taxation, Random Preferences, and Optimization Errors," Econometrica, Econometric Society, vol. 54(1), pages 47-63, January.
    11. Blundell, Richard & Macurdy, Thomas, 1999. "Labor supply: A review of alternative approaches," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 27, pages 1559-1695, Elsevier.
    12. Emmanuel Saez, 2010. "Do Taxpayers Bunch at Kink Points?," American Economic Journal: Economic Policy, American Economic Association, vol. 2(3), pages 180-212, August.
    13. Kfir Eliaz & Ran Spiegler, 2011. "Consideration Sets and Competitive Marketing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 235-262.
    14. James J. Heckman, 1974. "Effects of Child-Care Programs on Women's Work Effort," NBER Chapters, in: Marriage, Family, Human Capital, and Fertility, pages 136-169, National Bureau of Economic Research, Inc.
    15. Steinar StrØm & John K. Dagsvik, 2006. "Sectoral labour supply, choice restrictions and functional form," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(6), pages 803-826.
    16. Bloemen, Hans G., 2000. "A model of labour supply with job offer restrictions," Labour Economics, Elsevier, vol. 7(3), pages 297-312, May.
    17. Richard Blundell & Mike Brewer & Marco Francesconi, 2008. "Job Changes and Hours Changes: Understanding the Path of Labor Supply Adjustment," Journal of Labor Economics, University of Chicago Press, vol. 26(3), pages 421-453, July.
    18. Raj Chetty, 2012. "Bounds on Elasticities With Optimization Frictions: A Synthesis of Micro and Macro Evidence on Labor Supply," Econometrica, Econometric Society, vol. 80(3), pages 969-1018, May.
    19. Dickens, William T & Lundberg, Shelly J, 1993. "Hours Restrictions and Labor Supply," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(1), pages 169-192, February.
    20. Ilmakunnas, Seija & Pudney, Stephen, 1990. "A model of female labour supply in the presence of hours restrictions," Journal of Public Economics, Elsevier, vol. 41(2), pages 183-210, March.
    21. Richard Blundell & Antoine Bozio & Guy Laroque, 2011. "Extensive and intensive margins of labour supply: working hours in the US, UK and France," IFS Working Papers W11/01, Institute for Fiscal Studies.
    22. Richard Blundell & Antoine Bozio & Guy Laroque, 2011. "Labor Supply and the Extensive Margin," American Economic Review, American Economic Association, vol. 101(3), pages 482-486, May.
    23. François Bourguignon & Thierry Magnac, 1990. "Labor Supply and Taxation in France," Journal of Human Resources, University of Wisconsin Press, vol. 25(3), pages 358-389.
    24. John C. Ham & Kevin T. Reilly, 2002. "Testing Intertemporal Substitution, Implicit Contracts, and Hours Restriction Models of the Labor Market Using Micro Data," American Economic Review, American Economic Association, vol. 92(4), pages 905-927, September.
    25. (IFS), Institute for Fiscal Studies (ed.), 2010. "Dimensions of Tax Design: The Mirrlees Review," OUP Catalogue, Oxford University Press, number 9780199553754, Decembrie.
    26. John K. Dagsvik & Zhiyang Jia, 2006. "Labor Supply as a Choice among Latent Job Opportunities. A Practical Empirical Approach," Discussion Papers 481, Statistics Norway, Research Department.
    27. Hausman, Jerry A, 1985. "The Econometrics of Nonlinear Budget Sets," Econometrica, Econometric Society, vol. 53(6), pages 1255-1282, November.
    28. Aaberge, Rolf & Colombino, Ugo & Strom, Steinar, 1999. "Labour Supply in Italy: An Empirical Analysis of Joint Household Decisions, with Taxes and Quantity Constraints," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(4), pages 403-422, July-Aug..
    29. Cogan, John F, 1981. "Fixed Costs and Labor Supply," Econometrica, Econometric Society, vol. 49(4), pages 945-963, June.
    30. Soren Blomquist & Whitney Newey, 2002. "Nonparametric Estimation with Nonlinear Budget Sets," Econometrica, Econometric Society, vol. 70(6), pages 2455-2480, November.
    31. Stewart, Mark B & Swaffield, Joanna K, 1997. "Constraints on the Desired Hours of Work of British Men," Economic Journal, Royal Economic Society, vol. 107(441), pages 520-535, March.
    32. Blomquist, Sören & Newey, Whitney, 1997. "Nonparametric Estimation of Labor Supply Functions Generated by Piece Wise Linear Budget Constraints," Working Paper Series 1997:24, Uppsala University, Department of Economics.
    33. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 31(3), pages 129-137.
    34. Heckman, James J, 1993. "What Has Been Learned about Labor Supply in the Past Twenty Years?," American Economic Review, American Economic Association, vol. 83(2), pages 116-121, May.
    35. Joseph G. Altonji & Christina H. Paxson, 1992. "Labor Supply, Hours Constraints, and Job Mobility," Journal of Human Resources, University of Wisconsin Press, vol. 27(2), pages 256-278.
    36. Moffitt, Robert, 1984. "The Estimation of a Joint Wage-Hours Labor Supply Model," Journal of Labor Economics, University of Chicago Press, vol. 2(4), pages 550-566, October.
    37. Heckman, James J, 1974. "Shadow Prices, Market Wages, and Labor Supply," Econometrica, Econometric Society, vol. 42(4), pages 679-694, July.
    38. Blundell, Richard & Duncan, Alan & Meghir, Costas, 1992. "Taxation in Empirical Labour Supply Models: Lone Mothers in the UK," Economic Journal, Royal Economic Society, vol. 102(411), pages 265-278, March.
    39. James J. Heckman & Thomas E. Macurdy, 1980. "A Life Cycle Model of Female Labour Supply," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(1), pages 47-74.
    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. Haywood, Luke & Neumann, Michael, 2021. "Equilibrium effects of tax exemptions for low pay," Labour Economics, Elsevier, vol. 69(C).
    2. Michael C. Knaus & Steffen Otterbach, 2019. "Work Hour Mismatch And Job Mobility: Adjustment Channels And Resolution Rates," Economic Inquiry, Western Economic Association International, vol. 57(1), pages 227-242, January.
    3. Hartley, Robert Paul & Lamarche, Carlos, 2018. "Behavioral responses and welfare reform: Evidence from a randomized experiment," Labour Economics, Elsevier, vol. 54(C), pages 135-151.
    4. Schoefer, Benjamin & Mui, Preston, 2019. "Reservation Raises: The Aggregate Labor Supply Curve at the Extensive Margin," CEPR Discussion Papers 14209, C.E.P.R. Discussion Papers.
    5. Alpaslan Akay & Olivier Bargain & H. Xavier Jara, 2020. "‘Fair’ welfare comparisons with heterogeneous tastes: subjective versus revealed preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(1), pages 51-84, June.
    6. Beckmannshagen, Mattis & Schröder, Carsten, 2022. "Earnings inequality and working hours mismatch," Labour Economics, Elsevier, vol. 76(C).
    7. Dagsvik, John K. & Strøm, Steinar & Locatelli, Marilena, 2021. "Marginal compensated effects in discrete labor supply models," Journal of choice modelling, Elsevier, vol. 41(C).
    8. Fischer, Benjamin & Jessen, Robin & Steiner, Viktor, 2019. "Work incentives and the cost of redistribution via tax-transfer reforms under constrained labor supply," Discussion Papers 2019/10, Free University Berlin, School of Business & Economics.
    9. Oleksandr Talavera & Charlie Weir & Lin Xiong, 2017. "Time Allocation and Performance: The Case of Chinese Entrepreneurs," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 24(1), pages 27-51, January.
    10. Sören Blomquist, 2023. "Evaluating the Discrete Choice and BN Methods to Estimate Labor Supply Functions," CESifo Working Paper Series 10827, CESifo.
    11. Zanette, Maria Carolina & Scaraboto, Daiane, 2019. "“To Spanx or not to Spanx”: How objects that carry contradictory institutional logics trigger identity conflict for consumers," Journal of Business Research, Elsevier, vol. 105(C), pages 443-453.
    12. Blundell, R. & French, E. & Tetlow, G., 2016. "Retirement Incentives and Labor Supply," Handbook of the Economics of Population Aging, in: Piggott, John & Woodland, Alan (ed.), Handbook of the Economics of Population Aging, edition 1, volume 1, chapter 0, pages 457-566, Elsevier.
    13. Kuan-Ming Chen & Ning Ding & John A. List & Magne Mogstad, 2020. "Reservation Wages and Workers’ Valuation of Job Flexibility: Evidence from a Natural Field Experiment," Working Papers 2020-124, Becker Friedman Institute for Research In Economics.
    14. Kuan-Ming Chen & Min Ding & John List & Magne Mogstad, 2020. "Reservation Wages and Workers' Valuation of Job Flexibility: Evidence from a Natural Field Experiment," Natural Field Experiments 00715, The Field Experiments Website.
    15. Ali Elminejad & Tomas Havranek & Roman Horvath & Zuzana Irsova, 2023. "Intertemporal Substitution in Labor Supply: A Meta-Analysis," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 51, pages 1095-1113, December.
    16. Panos Pashardes & Alexandros Polycarpou, 2015. "A backward-bending and forward-falling semi-log model of labour supply," University of Cyprus Working Papers in Economics 03-2015, University of Cyprus Department of Economics.
    17. Kosonen, Tuomas & Matikka, Tuomas, 2020. "Discrete Labor Supply: Empirical Evidence and Implications," Working Papers 132, VATT Institute for Economic Research.
    18. Tuomas Kosonen & Tuomas Matikka, 2023. "Discrete Labor Supply: Quasi-Experimental Evidence and Implications," Working Papers 9, Finnish Centre of Excellence in Tax Systems Research.

    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. Blundell, Richard & Macurdy, Thomas, 1999. "Labor supply: A review of alternative approaches," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 27, pages 1559-1695, Elsevier.
    2. Olivier Bargain & Andreas Peichl, 2016. "Own-wage labor supply elasticities: variation across time and estimation methods," IZA Journal of Labor Economics, Springer;Forschungsinstitut zur Zukunft der Arbeit GmbH (IZA), vol. 5(1), pages 1-31, December.
    3. John K. Dagsvik & Zhiyang Jia & Tom Kornstad & Thor O. Thoresen, 2014. "Theoretical And Practical Arguments For Modeling Labor Supply As A Choice Among Latent Jobs," Journal of Economic Surveys, Wiley Blackwell, vol. 28(1), pages 134-151, February.
    4. Rolf Aaberge & Ugo Colombino, 2014. "Labour Supply Models," Contributions to Economic Analysis, in: Handbook of Microsimulation Modelling, volume 127, pages 167-221, Emerald Group Publishing Limited.
    5. Olivier Bargain & Kristian Orsini & Andreas Peichl, 2014. "Comparing Labor Supply Elasticities in Europe and the United States: New Results," Journal of Human Resources, University of Wisconsin Press, vol. 49(3), pages 723-838.
    6. Olivier Bargain & Kristian Orsini & Andreas Peichl, 2014. "Comparing Labor Supply Elasticities in Europe and the United States: New Results," Journal of Human Resources, University of Wisconsin Press, vol. 49(3), pages 723-838.
    7. Olivier Bargain, 2004. "On modeling household labor supply with taxation," DELTA Working Papers 2004-14, DELTA (Ecole normale supérieure).
    8. Bargain, Olivier & Peichl, Andreas, 2013. "Steady-state labor supply elasticities: A survey," ZEW Discussion Papers 13-084, ZEW - Leibniz Centre for European Economic Research.
    9. Anil Kumar, 2016. "Lifecycle-consistent female labor supply with nonlinear taxes: evidence from unobserved effects panel data models with censoring, selection and endogeneity," Review of Economics of the Household, Springer, vol. 14(1), pages 207-229, March.
    10. Thoresen, Thor O. & Vattø, Trine E., 2015. "Validation of the discrete choice labor supply model by methods of the new tax responsiveness literature," Labour Economics, Elsevier, vol. 37(C), pages 38-53.
    11. Müller, Kai-Uwe & Neumann, Michael & Wrohlich, Katharina, 2018. "Labor Supply under Participation and Hours Constraints: An Extended Structural Model for Policy Evaluations," IZA Discussion Papers 12003, Institute of Labor Economics (IZA).
    12. Callan, Tim & van Soest, Arthur & Walsh, John R., 2007. "Tax Structure and Female Labour Market Participation: Evidence from Ireland," IZA Discussion Papers 3090, Institute of Labor Economics (IZA).
    13. van Soest, Arthur & Das, Marcel & Gong, Xiaodong, 2002. "A structural labour supply model with flexible preferences," Journal of Econometrics, Elsevier, vol. 107(1-2), pages 345-374, March.
    14. Kai-Uwe Müller & Michael Neumann & Katharina Wrohlich, 2018. "Labor Supply under Participation and Hours Constraints," Discussion Papers of DIW Berlin 1758, DIW Berlin, German Institute for Economic Research.
    15. Olivier Bargain & Andreas Peichl, 2013. "Steady-State Labor Supply Elasticities: An International Comparison," AMSE Working Papers 1322, Aix-Marseille School of Economics, France.
    16. John K. Dagsvik & Zhiyang Jia, 2008. "An Alternative Approach to Labor Supply Modeling. Emphasizing Job-type as Choice Variable," Discussion Papers 550, Statistics Norway, Research Department.
    17. John K. Dagsvik & Steinar StrØm, 2006. "Sectoral labour supply, choice restrictions and functional form," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(6), pages 803-826, September.
    18. Richard Blundell & Monica Costa Dias & Costas Meghir & Jonathan Shaw, 2016. "Female Labor Supply, Human Capital, and Welfare Reform," Econometrica, Econometric Society, vol. 84, pages 1705-1753, September.
    19. Jaume Garcia & María J. Suárez, 2001. "Female labour supply in Spain: The importance of behavioural assumptions and unobserved heterogeneity specification," Economics Working Papers 542, Department of Economics and Business, Universitat Pompeu Fabra.
    20. van Soest, A.H.O. & Das, J.W.M. & Gong, X., 2000. "A Structural Labor Supply Model with Nonparametric Preferences," Discussion Paper 2000-60, Tilburg University, Center for Economic Research.

    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:eee:econom:v:211:y:2019:i:1:p:16-46. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jeconom .

    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.