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Labour supply and taxation with restricted choices

Author

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  • Magali Beffy

    (CREST - Centre de Recherche en Économie et Statistique - ENSAI - Ecole Nationale de la Statistique et de l'Analyse de l'Information [Bruz] - Groupe ENSAE-ENSAI - Groupe des Écoles Nationales d'Économie et Statistique - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - ENSAE Paris - École Nationale de la Statistique et de l'Administration Économique - Groupe ENSAE-ENSAI - Groupe des Écoles Nationales d'Économie et Statistique - IP Paris - Institut Polytechnique de Paris - CNRS - Centre National de la Recherche Scientifique)

  • Richard Blundell

    (UCL - University College London [UCL], IFS - Laboratory of the Institute for Fiscal Studies - Institute for Fiscal Studies)

  • Antoine Bozio

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, IFS - Laboratory of the Institute for Fiscal Studies - Institute for Fiscal Studies, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique)

  • Guy Laroque

    (UCL - University College London [UCL], IFS - Laboratory of the Institute for Fiscal Studies - Institute for Fiscal Studies, ECON - Département d'économie (Sciences Po) - Sciences Po - Sciences Po - CNRS - Centre National de la Recherche Scientifique)

  • Maxime Tô

    (UCL - University College London [UCL], IFS - Laboratory of the Institute for Fiscal Studies - Institute for Fiscal Studies)

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

  • Magali Beffy & Richard Blundell & Antoine Bozio & Guy Laroque & Maxime Tô, 2019. "Labour supply and taxation with restricted choices," Sciences Po Economics Publications (main) halshs-01883898, HAL.
    • Handle: RePEc:hal:spmain:halshs-01883898
    DOI: 10.1016/j.jeconom.2018.12.004
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01883898v1
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    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. Beckmannshagen, Mattis & Schröder, Carsten, 2022. "Earnings inequality and working hours mismatch," Labour Economics, Elsevier, vol. 76(C).
    5. Tomas Key & Jamie Lenney, 2024. "The Impact of Aggregate Fluctuations Across the UK Income Distribution," Discussion Papers 2430, Centre for Macroeconomics (CFM).
    6. 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.
    7. 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.
    8. Dagsvik, John K. & Strøm, Steinar & Locatelli, Marilena, 2021. "Marginal compensated effects in discrete labor supply models," Journal of choice modelling, Elsevier, vol. 41(C).
    9. Sören Blomquist, 2023. "Evaluating the Discrete Choice and BN Methods to Estimate Labor Supply Functions," CESifo Working Paper Series 10827, CESifo.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. Preston Mui & Benjamin Schoefer, 2025. "Reservation Raises: The Aggregate Labour Supply Curve at the Extensive Margin," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 92(1), pages 442-475.
    17. Kosonen, Tuomas & Matikka, Tuomas, 2020. "Discrete Labor Supply: Empirical Evidence and Implications," Working Papers 132, VATT Institute for Economic Research.
    18. Tomas Key & Jamie Lenney, 2024. "The impact of aggregate fluctuations across the UK income distribution," Bank of England working papers 1083, Bank of England.
    19. 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.
    20. Tuomas Kosonen & Tuomas Matikka, 2023. "Discrete Labor Supply: Quasi-Experimental Evidence and Implications," Working Papers 9, Finnish Centre of Excellence in Tax Systems Research.

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