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Labour supply and taxation with restricted choices

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  • 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.

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  • 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
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    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.
    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. 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.
    33. 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.
    34. 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.
    35. 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.
    36. Heckman, James J, 1974. "Shadow Prices, Market Wages, and Labor Supply," Econometrica, Econometric Society, vol. 42(4), pages 679-694, July.
    37. 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.
    38. 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.
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    11. Sören Blomquist, 2023. "Evaluating the Discrete Choice and BN Methods to Estimate Labor Supply Functions," CESifo Working Paper Series 10827, CESifo.
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    13. 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.
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    15. 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.
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