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Redistribution through the Income Tax

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Models and Measurement of Welfare and Inequality

Abstract

Empirical analysis reveals that, typically, the impact effect of the personal income tax is unambiguously to reduce inequality in the distribution of income. This would be explained by theory if all incomes were taxed according to the same progressive schedule. However, tax treatment typically depends on equity-relevant non-income attributes, so that the normative significance of inequality reduction is unclear. In this paper, the income tax is viewed as equivalent to the imposition of a proportional (distributionally neutral) tax followed by ‘Robin Hood activity’. A class of welfare functions is proposed in terms of which Robin Hood’s interference in distribution could be justified, and it is found that inequality reduction is a necessary condition. Whether real-world income taxes are in fact welfare superior to equal-yield proportional taxes according to the criterion proposed is an open question, but the observed inequality reduction, and certain other evidence, is in favour.

This paper is adapted from an article of the same title appearing as chapter 1 in Creedy (1993). I thank John Creedy for permission to use the material here, and for helpful comments.

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References

  • Arnold, B.C. (1990). The Lorenz order and the effects of taxation policies. Bulletin of Economic Research, 42, 249–64.

    Article  Google Scholar 

  • Atkinson, A.B. (1970). On the measurement of inequality. Journal of Economic Theory, 2, 244–63.

    Article  Google Scholar 

  • Atkinson, A.B. and Bourguignon, F. (1987). Income distribution and differences in needs, chapter 12 in G.R. Feiwel (ed.) Arrow and the Foundations of the Theory of Economic Policy. London: Macmillan.

    Google Scholar 

  • Baum, S. (1987). On the measurement of tax progressivity: relative share adjustment. Public Finance Quarterly, 15, 166–87.

    Article  Google Scholar 

  • Buchholtz, W., Richter, W.F. and Schwaiger, J. (1988). Distributional implications of equal sacrifice rules. Social Choice and Welfare, 5, 223–6.

    Article  Google Scholar 

  • Creedy, J. (1993). Taxation, Poverty and Income Distribution. Aldershot: Edward Elgar.

    Google Scholar 

  • Eichhorn, W., Funke H. and Richter, W.F. (1984). Tax progression and inequality of income distribution. Journal of Mathematical Economics, 13, 127–31.

    Article  Google Scholar 

  • Family Expenditure Survey (annually). London: Department of Employment.

    Google Scholar 

  • Fellman, J. (1976). The effect of transformations on Lorenz curves. Econometrica, 44, 823–4.

    Article  Google Scholar 

  • Goode, R. (1984). Lessons from seven decades of income taxation. Pages 13–32 in J.A. Pechman (ed.) Options for Tax Reform. Washington DC: Brookings Institution.

    Google Scholar 

  • Gupta, A. and Aggarwal, P.K. (1982). The Impact of the Personal Income Tax. New Delhi: National Institute of Public Finance and Policy.

    Google Scholar 

  • Hemming, R. and Keen, M.J. (1983). Single crossing conditions in comparisons of tax progressivity. Journal of Public Economics, 20, 373–80.

    Article  Google Scholar 

  • Jakobsson, U. (1976). On the measurement of the degree of progression. Journal of Public Economics, 5, 161–8.

    Article  Google Scholar 

  • Johnson, P. and Lambert, P.J. (1989). Measuring the responsiveness of income tax revenue to income growth: a review and some U.K. values. Fiscal Studies, 10 (1), 1–18.

    Article  Google Scholar 

  • Kakwani, N.C. (1977a). Applications of Lorenz curves in economic analysis. Econometrica, 45, 719–27.

    Article  Google Scholar 

  • Kakwani, N.C. (1977b). Measurement of tax progressivity: an international comparison. Economic Journal, 87, 71–80.

    Article  Google Scholar 

  • Lambert, P.J. (1992). Rich-to-poor income transfers reduce inequality: a generalization. Research on Economic Inequality, 2, 183–92.

    Google Scholar 

  • Lambert, P.J. (1993a). Inequality reduction through the income tax. Economica, forthcoming.

    Google Scholar 

  • Lambert, P.J. (1993b). The Distribution and Redistribution of Incase: A Mathematical Analysis ( second edition ). Manchester: University Press.

    Google Scholar 

  • Moyes, P. and Shorrocks, A.F. (1992). Redistributive taxation and differences in needs: a benchmark result and a research agenda. This volume.

    Google Scholar 

  • Sawyer, M.C. (1976). Income Distribution in OECD Countries. Paris: OECD.

    Google Scholar 

  • Shorrocks, A.F. (1983). Ranking income distributions. Economica, 50, 1–17.

    Google Scholar 

  • Survey of Personal Incomes (annually). London: Inland Revenue, Statistical Division.

    Google Scholar 

  • Thon, D. (1987). Redistributive properties of progressive taxation. Mathematical Social Sciences, 14, 185–91.

    Article  Google Scholar 

  • Willis, J.R.M. and Hardwick, P.J.W. (1978). Tax Expenditures in the United Kingdom. London: Heinemann.

    Google Scholar 

  • Young, H.P. (1990). Progressive taxation and equal sacrifice. American Economic Review, 80, 253–66.

    Google Scholar 

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© 1994 Springer-Verlag Berlin · Heidelberg

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Lambert, P.J. (1994). Redistribution through the Income Tax. In: Eichhorn, W. (eds) Models and Measurement of Welfare and Inequality. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79037-9_17

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  • DOI: https://doi.org/10.1007/978-3-642-79037-9_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79039-3

  • Online ISBN: 978-3-642-79037-9

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