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Taxes and labour supply under interdependent preferences

Author

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  • Woźny, Łukasz
  • Garbicz, Marek

Abstract

In this paper we identify how changes in the income tax rate affect the labour supply under interdependent utility functions. To reach that aim we create a model of the economy in which households choosing their optimal labour supply take into account not only their income, tax rate and individual consumption but also so called relative consumption level (Garbicz 1997). Taking into account the last issue we significantly modify the well known Becker model (1965). We conduct a comparative statics exercise using na lattice and supermodular game theory. Thanks to which we show sufficient and necessary conditions for a labour supply to be monotonic function of the income tax rate. We analyze the economic behaviour under static and dynamic setup. Under quite general assumptions concerning the household utility function we show that the higher the tax rate the lower the macroeconomic labour supply. Additionally we show the possibility of multiple equilibria in the economy that offers the explanation of differences in the working time between e.g. European countries and the US as well as discrepancies between micro and macroeconomic elasticity of labour supply (see Alesina, Glaeser, and Sacerdote 2005).

Suggested Citation

  • Woźny, Łukasz & Garbicz, Marek, 2005. "Taxes and labour supply under interdependent preferences," MPRA Paper 462, University Library of Munich, Germany, revised Jun 2005.
  • Handle: RePEc:pra:mprapa:462
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    File URL: https://mpra.ub.uni-muenchen.de/462/1/MPRA_paper_462.pdf
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    References listed on IDEAS

    as
    1. Alberto F. Alesina & Edward L. Glaeser & Bruce Sacerdote, 2006. "Work and Leisure in the U.S. and Europe: Why So Different?," NBER Chapters,in: NBER Macroeconomics Annual 2005, Volume 20, pages 1-100 National Bureau of Economic Research, Inc.
    2. Federico Echenique, 2002. "Comparative Statics by Adaptive Dynamics and the Correspondence Principle," Econometrica, Econometric Society, vol. 70(2), pages 833-844, March.
    3. Edward C. Prescott, 2004. "Why do Americans work so much more than Europeans?," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Jul, pages 2-13.
    4. Edward L. Glaeser & Bruce I. Sacerdote & Jose A. Scheinkman, 2003. "The Social Multiplier," Journal of the European Economic Association, MIT Press, vol. 1(2-3), pages 345-353, 04/05.
    5. Edlin, Aaron S. & Shannon, Chris, 1998. "Strict Monotonicity in Comparative Statics," Journal of Economic Theory, Elsevier, vol. 81(1), pages 201-219, July.
    6. Daniel John Zizzo, 2003. "Empirical evidence on interdependent preferences: nature or nurture?," Cambridge Journal of Economics, Oxford University Press, vol. 27(6), pages 867-880, November.
    7. Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141.
    8. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    supermodularity; lattice programming; multiplicity; interdependent preferences; labour supply;

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • J22 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Time Allocation and Labor Supply

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