Skip to main content
Log in

Gini Indices and the Redistribution of Income

  • Published:
International Tax and Public Finance Aims and scope Submit manuscript

Abstract

Just as the Gini inequality index captures people's relative deprivation (Yitzhaki, 1979), so, we show in this paper, Gini-based progressivity and horizontal inequity indices capture individual perceptions of relative fiscal harshness and ill-fortune. In fact, we find that these links between individualistic perceptions and the measurement of the distribution and redistribution of income generalise to the family of indices based on the extended Ginis of Donaldson and Weymark (1980) and Yitzhaki (1983). Through ''leaky bucket'' experiments, we also suggest how we can parameterise the inequality aversion present in these indices. Analysis of the Canadian gross and net income distributions (conducted using recently developed statistical inference procedures) shows the distribution and the aggregation of these individual indicators of relative deprivation, fiscal harshness and ill-fortune in 1981 and in 1990.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Achdut, Lea. (1996). “Income Inequality, Income Composition and Macroeconomic Trends: Israel, 1979-93.” Economica 63, S1-S29.

    Google Scholar 

  • Aronson, J. R., P. Johnson, and P. J. Lambert. (1994). “Redistributive Effect and Unequal Income Tax Treatment.” Economic Journal 104(423), 262-270.

    Google Scholar 

  • Atkinson, A. B. (1979). “Horizontal Equity and the Distribution of the Tax Burden.” In H. J. Aaron and M. J. Boskin (eds.), The Economics of Taxation (chap. 1, pp. 3-18). Washington DC: Brookings Institution.

    Google Scholar 

  • Barrett, Garry F., and Krishna Pendakur. (1995). “The Asymptotic Distribution of the Generalized Gini Indices of Inequality.” Canadian Journal of Economics 28, 1042-1055.

    Google Scholar 

  • Berrebi, Z. M., and Jacques Silber. (1985). “Income Inequality Indices and Deprivation: A Generalization.” Quarterly Journal of Economics August, 807-810.

  • Blackburn, McKinley L. (1989). “Interpreting the Magnitude of Changes in Measures of Income Inequality.” Journal of Econometrics 42, 21-25.

    Google Scholar 

  • Blackorby, C., and D. Donaldson. (1978). “Measures of Relative Equality and Their Meaning in Terms of Social Welfare.” Journal of Economic Theory 18(1), 59-80.

    Google Scholar 

  • Chakravarty, S. R., and A. B. Chakraborty. (1984). “On Indices of Relative Deprivation.” Economics Letters 14, 283-287.

    Google Scholar 

  • Clark, Andrew E., and Andrew J. Oswald. (1996). “Satisfaction and Comparison Income.” Journal of Public Economics 61(3), 359–382.

    Google Scholar 

  • Creedy, John. (1996). “Comparing Tax and Transfer Systems: Poverty, Inequality and Target Inefficiency.” Economica 63(250S), S163–S174.

    Google Scholar 

  • Davidson, R., and J. Y. Duclos. (1997). “Statistical Inference for the Measurement of the Incidence of Taxes and Transfers.” Econometrica 65(6), 1453–1465.

    Google Scholar 

  • Davies, J. A. (1959). “A Formal Interpretation of the Theory of Relative Deprivation.” Sociometry 22, 280-296.

    Google Scholar 

  • Donaldson, D., and J. A. Weymark. (1980). “A Single Parameter Generalization of the Gini Indices of Inequality.” Journal of Economic Theory 22, 67-86.

    Google Scholar 

  • Duclos, J.-Y. (1993). “Progressivity, Redistribution and Equity, with Application to the British Tax and Benefit System.” Public Finance/Finances Publiques 48(3), 350-365.

    Google Scholar 

  • Duclos, J.-Y. (1995). “Relative Performance, Relative Deprivation and Generalised Gini Indices of Inequality and Horizontal Inequity.” Cahier de recherche 9514, Département d'économique, Université Laval.

  • Duclos, J.-Y. (1997). “The Asymptotic Distribution of Linear Indices of Inequality, Progressivity and Redistribution.” Economics Letters 54(1), 51-57.

    Google Scholar 

  • Feldstein, M. (1976). “On the Theory of Tax Reform.” Journal of Public Economics 6, 77-104.

    Google Scholar 

  • Festinger, Leon. (1954). “A Theory of Social Comparison Processes.” Human Relations 7, 117-140.

    Google Scholar 

  • Hey, J. D., and P. J. Lambert. (1980). “Relative Deprivation and the Gini Coefficient: Comment.” Quarterly Journal of Economics 95, 567-573.

    Google Scholar 

  • Howes, Stephen. (1993). “Asymptotic Properties of Four Fundamental Curves of Distributional Analysis.” Mimeo, STICERD, London School of Economics.

  • Kakwani, N. C. (1977). “Measurement of Tax Progressivity: An International Comparison.” Economic Journal 87, 71-80.

    Google Scholar 

  • Kakwani, Nanak. (1980). “On a Class of Poverty Measures.” Econometrica 48(2), 437-446.

    Google Scholar 

  • Kakwani, N. C. (1984). “On the Measurement of Tax Progressivity and Redistributive Effect of Taxes with Applications to Horizontal and Vertical Equity.” Advances in Econometrics 3, 149-168.

    Google Scholar 

  • Kaplow, Louis. (1989). “Horizontal Equity: Measures in Search of a Principle.” National Tax Journal XLII, 139-154.

    Google Scholar 

  • Lambert, P. (1993). The Distribution and Redistribution of Income: A Mathematical Analysis (2nd ed.). Manchester: Manchester University Press.

    Google Scholar 

  • Mehran, F. (1976). “Linear Measures of Income Inequality.” Econometrica 44(4), 805-809.

    Google Scholar 

  • Merton, R. K., and Alice S. Rossi. (1957). “Contributions to the Theory of Reference Group Behaviour.” In R. K. Merton (ed.), Social Theory and Social Structure. Glencoe, Illinois.

  • Muliere, P., and M. Scarsini. (1989). “A Note on Stochastic Dominance and Inequality Measures.” Journal of Economic Theory 49(2), 314-323.

    Google Scholar 

  • Musgrave, Richard A. (1990). “Horizontal Equity, Once More.” National Tax Journal 43(2), 113-122.

    Google Scholar 

  • Okun, A. M. (1975). Equality and Efficiency, the Big Tradeoff. Washington: Brookings Institution.

    Google Scholar 

  • Olson, James M., Peter Herman, and Mark P. Zanna (eds.). (1986). Relative Deprivation and Social Comparisons: The Ontario Symposium (vol. 4). London: Lawrence Erlbaum Associates Publishers.

    Google Scholar 

  • Palme, Marten. (1994). “Income Distribution Effects of the Swedish 1991 Tax Reform: An Analysis of a Microsimulation Using Generalized Kakwani Decomposition.” Working Paper #5, January, Stockholm School of Economics.

  • Paul, Satya. (1991). “An Index of Relative Deprivation.” Economics Letters 36, 337-341.

    Google Scholar 

  • Paul, Satya. (1994). “Relative Deprivation and Generalised Gini Indices.” Indian Journal of Applied Economics 3(1-2), 83-95.

    Google Scholar 

  • Pfähler, W. (1987). “Redistributive Effects of Tax Progressivity: Evaluating a General Class of Aggregate Measures.” Public Finance/Finances Publiques 42(3), 1-31.

    Google Scholar 

  • Nripesh, Podder. (1996). “Relative Deprivation, Envy and Economic Inequality.” Kyklos 49(3), 353-376.

    Google Scholar 

  • Plotnick, R. (1981). “A Measure of Horizontal Inequity.” The Review of Economics and Statistics LXII(2), 283-288.

    Google Scholar 

  • Reynolds, M., and E. Smolensky. (1977). Public Expenditure, Taxes and the Distribution of Income: The United States, 1950, 1961, 1970. New York: Academic Press.

    Google Scholar 

  • Runciman, W. G. (1966). Relative Deprivation and Social Justice: A Study of Attitudes to Social Inequality in Twentieth-Century England. Berkeley and Los Angeles: University of California Press.

    Google Scholar 

  • Sen, A. K. (1973). On Economic Inequality. Oxford: Clarendon Press.

    Google Scholar 

  • Yitzhaki, S. (1979). “Relative Deprivation and the Gini Coefficient.” Quarterly Journal of Economics 93, 321-324.

    Google Scholar 

  • Yitzhaki, S. (1983). “On an Extension of the Gini Index.” International Economic Review 24, 617-628.

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Duclos, JY. Gini Indices and the Redistribution of Income. International Tax and Public Finance 7, 141–162 (2000). https://doi.org/10.1023/A:1008700419908

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1008700419908

Navigation