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An Individual Relative Deprivation Index and Its Curve Considering Income Scope

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Abstract

The purpose of this paper is to build a new relative deprivation index with more properties than existing indices such as Yitzhaki index, Kakwani index and Esposito index. Through detailed analysis of the properties of above indices, we find that a new individual index can be derived through introducing income scope into deprivation between two individuals. The proposed index fills up the shortcomings of existing indices. It satisfies more properties including non-negative decrease, concave, weak focus, dimensionless, normalization, translation invariance, scale invariance, additive decomposability and so on. Moreover, the new index conforms to our subject feeling and better reflects the connotations of relative deprivation. The article finally uses CGSS2008 rural data to draw the relative deprivation curves and analyze its sensitivity to max and min income.

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References

  • Anderson, E., & Esposito, L. (2014). On the joint evaluation of absolute and relative deprivation. The Journal of Economic Inequality, 12(3), 411–428.

    Article  Google Scholar 

  • Berrebi, Z. M., & Silber, J. (1985). Income inequality indices and deprivation: A generalization. Quarterly Journal of Economics, 100(3), 807–810.

    Article  Google Scholar 

  • Bossert, W., & D’Ambrosio, C. (2006). Reference groups and individual deprivation. Economics Letters, 90, 421–426.

    Article  Google Scholar 

  • Casilda Lasso de la Vega, M., & Urrutia, A. (2011). Characterizing how to aggregate the individuals’ deprivations in a multidimensional framework. The Journal of Economic Inequality, 9, 183–194.

    Article  Google Scholar 

  • Chakravarty, S. R. (1997). Relative deprivation and satisfaction orderings. Keio Economic Studies, 34, 17–31.

    Google Scholar 

  • Chakravarty, S. R., & Chakraborty, A. B. (1984). On indices of relative deprivation. Economic Letters, 14, 283–287.

    Article  Google Scholar 

  • Chakravarty, S. R., & Chattopadhyay, N. (1994). An ethical index of relative deprivation. Research on Economic Inequality, 5, 231–240.

    Google Scholar 

  • Chakravarty, S. R., Chattopadhyay, N., & Majumder, A. (1995). Income inequality and relative deprivation. Keio Economic Studies, 32(1), 1–15.

    Google Scholar 

  • Chakravarty, S. R., & Moyes, P. (2003). Individual welfare, social deprivation and income taxation. Economic Theory, 21, 843–869.

    Article  Google Scholar 

  • Chakravarty, S. R., & Mukherjee, D. (1999). Measures of deprivation and their meaning in terms of social satisfaction. Theory and Decision, 47, 89–100.

    Article  Google Scholar 

  • D’Ambrosio, C., & Frick (2007). Income satisfaction and relative deprivation: An empirical link. Social Indicators Reseach, 81, 497–519.

    Article  Google Scholar 

  • Ebert, U., & Moyes, P. (2000). An axiomatic characterization of Yitzhaki’s index of individual deprivation. Economics Letters, 68, 263–270.

    Article  Google Scholar 

  • Eibner, C., & Evans, W. N. (2005). Relative deprivation, poor health habits, and mortality. The Journal of Human Resources, 40(3), 591–620.

    Article  Google Scholar 

  • Esposito, L. (2010). Upper boundedness for the measurement of relative deprivation. Review of Income and Wealth, 56, 632–639.

    Article  Google Scholar 

  • Hey, J. D., & Lambert, P. J. (1980). Relative deprivation and the Gini coefficient: comment. The Quarterly Journal of Economics, 95(3), 567–573.

    Article  Google Scholar 

  • Kakwani, Nanak. (1984). The relative deprivation curve and its applications. Journal of Business & Economic Statistics, 2, 384–405.

    Google Scholar 

  • Lucchini, M., & Assi, J. (2013). Mapping patterns of multiple deprivation and well-being using self-organizing maps: An application to swiss household panel data. Social Indicators Research, 112, 129–149.

    Article  Google Scholar 

  • Martín, E. B., Olmedo, L. I., & Reyes, G. M. (2007). Inequality and deprivation within and between groups: An illustration of European Union countries. Journal of Economic Inequality, 5, 323–337.

    Article  Google Scholar 

  • Mishra, A., & Ranjan, R. (2013). Multi-dimensional deprivation in India during and after the reforms: Do the household expenditure and the family health surveys present consistent evidence? Social Indicators Research, 110, 791–818.

    Article  Google Scholar 

  • Paul, S. (1991). An index of relative deprivation. Economics Letters, 36, 337–341.

    Article  Google Scholar 

  • Podder, N. (1996). Relative deprivation, envy and economic inequality. Kyklos, 49, 353–376.

    Article  Google Scholar 

  • Ren, G., & Shang, J. (2011). The research on Gini index’s subgroup decomposition method based on relative deprivation theory. The Journal of Quantitative & Technical Economics, 28(8), 103–114.

    Google Scholar 

  • Runciman, W. (1966). Relative deprivation and social justice: A study of attitudes to social inequality in twentieth-century England. Berkeley: University of California Press.

    Google Scholar 

  • Sen, A. (1985). Commodities and capabilities. Amsterdam: North-Holland.

    Google Scholar 

  • Temkin, L. S. (1986). Inequality. Philosophy & Public Affairs, 15(2), 99–121.

    Google Scholar 

  • Temkin, L. S. (1993). Inequality. London: Oxford University Press.

    Google Scholar 

  • Yitzhaki, S. (1979). Relative deprivation and the Gini coefficient. The Quarterly Journal of Economics, 93(2), 321–324.

    Article  Google Scholar 

  • Yitzhaki, S. (1980). Relative deprivation and the Gini coefficient: Reply. Quarterly Journal of Economics, 3, 575–576.

    Article  Google Scholar 

  • Yitzhaki, S. (2010). Is there room for polarization? Review of Income and Wealth, 56, 7–22.

    Article  Google Scholar 

Download references

Acknowledgments

The research for this article was funded by major projects of China national social science fund (07&ZD045).

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Correspondence to Guoqiang Ren.

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Ren, G., Pan, X. An Individual Relative Deprivation Index and Its Curve Considering Income Scope. Soc Indic Res 126, 935–953 (2016). https://doi.org/10.1007/s11205-015-0944-3

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  • DOI: https://doi.org/10.1007/s11205-015-0944-3

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