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Published in: Social Choice and Welfare 3/2014

01-03-2014 | Original Paper

Mobility, taxation and welfare

Authors: Sami Bibi, Jean-Yves Duclos, Abdelkrim Araar

Published in: Social Choice and Welfare | Issue 3/2014

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Abstract

Income mobility is often thought to equalize permanent incomes and thereby to improve social welfare. The welfare analysis of mobility often fails, however, to account for the cost of the variability of periodic incomes around permanent incomes. This paper assesses the net welfare benefit of mobility by assuming both an aversion to inequality in permanent incomes and an aversion to variability in periodic incomes. The paper further investigates the combined (and comparative) impact of mobility and the tax system (another presumed income equalizer) on the dynamics of income across time and on the inequality of income across individuals. Using panel data, we find that Canada’s tax system limits significantly the redistributive impact of mobility while also lowering considerably the cost of income variability. The permanent income equalizing effect of taxes can reach up to 23 % of mean income at the higher values of inequality aversion that we use. Globally, the net social welfare effect of both mobility and taxation is (almost always) positive and substantial, often amounting to around 30 % of mean income. For all choices of parameter values, the tax effect exceeds substantially the net effect of mobility on inequality and social welfare.

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Appendix
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Footnotes
1
No assumption of temporal stationarity is needed. \(F_{x}(\cdot )\) and \(F_{y}(\cdot )\) are general distribution functions of incomes over all relevant time periods and over all individuals. These distribution functions do not imply anything specific in terms of the correlation structures of incomes across time.
 
2
Salas and Rabadan (1998a) follow this approach to decompose overall intertemporal inequality into between- and within-household contributions. Note that \(\epsilon \) could also be a parameter of social (as opposed to individual) aversion to periodic income variability.
 
3
See the Appendix for a proof of this statement.
 
4
The proof of this can be found in the Appendix.
 
5
Jim Davies kindly suggested a useful way to interpret these numbers. Assume that there is only one individual with two possible income levels, \(y_l\) and \(y_h\), each with a 50 % probability of being realized. Then \(M_y^{1}(\epsilon =0.3;\rho )=2.09\) is obtained with \(y_l=63.3\) and \(y_h=136.7\). If consumption smoothing decreased by 25 % the implied variability (through borrowing/saving or some partial insurance schemes), then \(M_y^{1}(\epsilon =0.3;\rho )\) would fall to 1.16. This is approximately the level of the cost of mobility in post-tax income reported in Table 4.
 
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Metadata
Title
Mobility, taxation and welfare
Authors
Sami Bibi
Jean-Yves Duclos
Abdelkrim Araar
Publication date
01-03-2014
Publisher
Springer Berlin Heidelberg
Published in
Social Choice and Welfare / Issue 3/2014
Print ISSN: 0176-1714
Electronic ISSN: 1432-217X
DOI
https://doi.org/10.1007/s00355-013-0749-8

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