Woźny, Łukasz and Garbicz, Marek (2005): Taxes and labour supply under interdependent preferences. Published in: Ekonomista No. 1 (January 2006): pp. 53-74.
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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).
| Item Type: | MPRA Paper |
|---|---|
| Additional Information: | |
| Institution: | Warsaw School of Economics, Poland |
| Language: | English |
| Keywords: | supermodularity; lattice programming; multiplicity; interdependent preferences; labour supply; |
| Subjects: | D - Microeconomics > D1 - Household Behavior and Family Economics > D11 - Consumer Economics: Theory J - Labor and Demographic Economics > J2 - Time Allocation, Work Behavior, and Employment Determination and Creation; Human Capital; Retirement > J22 - Time Allocation and Labor Supply |
| ID Code: | 462 |
| Deposited By: | Łukasz Woźny |
| Deposited On: | 16. Nov 2006 |
| Last Modified: | 25. Jul 2011 16:25 |
| References: | Alesina, A., E. Glaeser, and B. Sacerdote (2005): “Work and leisure in the U.S. and Europe: why so different?,” NBER Working Paper, No. 11278. Amir, R. (1996): “Sensitivity analysis of multisector optimal economic dynamics,” Journal of Mathematical Economics, 25, 123–141. Amir, R., M. Jakubczyk, and M. Knauff (2006): “Symmetric Versus Asymmetric Equilibria In Symmetric N-Player Supermodular Games,” Ph.D. thesis of M.Knauff, CORE, UCL. Becker, G. (1965): “A theory of the allocation of time,”Economic Journal, 75, 493–517. Echenique, F. (2002): “Comparative statics by adaptive dynamics and the correspondence principle,” Econometrica, 70(2), 833–844. Edlin, A. S., and C. Shannon (1998): “Strict Monotonicity in Comparative Static,” Journal of Economic Theory, 81(1), 201–219. Garbicz, M. (1997): “Model reakcji poda˙zy pracy na zmiany p lac realnych,” Ekonomista, 2. Glaeser, E., B. Sacerdote, and J. Scheinkman (2002): “The Social Multiplier,” NBER Working Paper, No. 9153. Milgrom, P., and C. Shannon (1994): “Monotone comparative statics,” Econometrica, 62(1), 157–180. Prescott, E. (2004): “Why Do Americans Work So Much More Than Europeans?,” NBER Working Paper, No. 10316. Sobel, J. (2005): “Interdependent Preferences and Reciprocity,” Journal of Economic Literature, 43, 392–436. Topkis, D. M. (1998): Supermodularity and complementarity, Frontiers of economic research. Princeton University Press. Zizzo, D. J. (2003): “Empirical evidence on interdependent preferences: nature or nurture?,” Cambridge Journal of Economics, 27(6), 867–880. 24 |
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