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A New Measure of Horizontal Equity

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Author Info
Alan J. Auerbach
Kevin A. Hassett

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Abstract

In this paper, we propose a new measure of horizontal equity that overcomes many of the shortcomings of previous proposed measures. Our starting point is the observation that a well-behaved social welfare function need not evaluate global' (vertical equity) differences in after-tax income using the same weights it applies to local' (horizontal equity) differences, even though this constraint has been applied in the past. Following work on the structure of individual preferences, we show that a social welfare function can imply different preferences toward horizontal and vertical equity. Adopting the general approach to the measurement of inequality developed by Atkinson (1970), we use such a social welfare function to derive measures of inequality that are decomposable into components naturally interpreted as indices of horizontal and vertical equity. In particular, the former index measures deviations from the fundamental principle that equals be treated equally. Finally, we apply our new measure to two tax-return data sets, evaluating the degree to which the horizontal equity of the US personal income tax has changed over time, and how horizontal equity would be altered by one version of recent proposals to do away with the so-called marriage penalty.'

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 7035.

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Date of creation: Mar 1999
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Handle: RePEc:nbr:nberwo:7035

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Find related papers by JEL classification:
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
H22 - Public Economics - - Taxation, Subsidies, and Revenue - - - Incidence

References listed on IDEAS
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  1. Adonis Yatchew, 1998. "Nonparametric Regression Techniques in Economics," Journal of Economic Literature, American Economic Association, vol. 36(2), pages 669-721, June. [Downloadable!] (restricted)
  2. King, Mervyn A, 1983. "An Index of Inequality: With Applications to Horizontal Equity and Social Mobility," Econometrica, Econometric Society, vol. 51(1), pages 99-115, January. [Downloadable!] (restricted)
  3. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July. [Downloadable!] (restricted)
  4. Mervyn A. King, 1983. "An Index of Inequality: With Applications to Horizontal Equity and Social Mobility," NBER Working Papers 0468, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  5. Rosen, Harvey S, 1978. "An Approach to the Study of Income, Utility, and Horizontal Equity," The Quarterly Journal of Economics, MIT Press, vol. 92(2), pages 307-22, May. [Downloadable!] (restricted)
  6. Alan J. Auerbach & Kevin A. Hassett, 1999. "A New Measure of Horizontal Equity," NBER Working Papers 7035, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  7. Joseph E. Stiglitz, 1982. "Utilitarianism and Horizontal Equity: The Case for Random Taxation," NBER Working Papers 0694, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  8. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January. [Downloadable!] (restricted)
  9. Louis Kaplow, 1989. "Horizontal Equity: Measures in Search of a Principle," NBER Working Papers 1679, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  10. Peter Lambert & Xavier Ramos, 1997. "Horizontal Inequity and Vertical Redistribution," International Tax and Public Finance, Springer, vol. 4(1), pages 25-37, January. [Downloadable!] (restricted)
  11. Plotnick, Robert, 1981. "A Measure of Horizontal Inequity," The Review of Economics and Statistics, MIT Press, vol. 63(2), pages 283-88, May. [Downloadable!] (restricted)
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  1. Jordahl, Henrik & Micheletto, Luca, 2002. "Optimal Utilitarian Taxation and Horizontal Equity," Ratio Working Papers 17, The Ratio Institute. [Downloadable!]
    Other versions:
  2. Ravallion, Martin & Lokshin, Michael, 2004. "Gainers and losers from trade reform in Morocco," Policy Research Working Paper Series 3368, The World Bank. [Downloadable!]
  3. Jean-Yves Duclos, 2006. "Equity and Equality," IZA Discussion Papers 2284, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  4. Ravallion, Martin, 2004. "Competing concepts of inequality in the globalization debate," Policy Research Working Paper Series 3243, The World Bank. [Downloadable!]
  5. Juan Carlos Cordoba & Genevieve Verdier, 2007. "Lucas vs. Lucas: On Inequality and Growth," IMF Working Papers 07/17, International Monetary Fund. [Downloadable!]
    Other versions:
  6. Alan J. Auerbach & Ronald Lee, 2009. "Welfare and Generational Equity in Sustainable Unfunded Pension Systems," NBER Working Papers 14682, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  7. Peter Lambert & Thor Thoresen, 2009. "Base independence in the analysis of tax policy effects: with an application to Norway 1992–2004," International Tax and Public Finance, Springer, vol. 16(2), pages 219-252, April. [Downloadable!] (restricted)
  8. Michael Grimm, 2005. "Removing the anonymity axiom in assessing pro-poor growth," Ibero America Institute for Econ. Research (IAI) Discussion Papers 113, Ibero-America Institute for Economic Research. [Downloadable!]
    Other versions:
  9. Jean-Yves Duclos & Vincent Jalbert & Abdelkrim Araar, 2001. "Classical Horizontal Inequity and Reranking: an Integrated Approach," UFAE and IAE Working Papers 478.01, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC). [Downloadable!]
    Other versions:
  10. Alan J. Auerbach & Kevin A. Hassett, 2002. "A New Measure of Horizontal Equity," American Economic Review, American Economic Association, vol. 92(4), pages 1116-1125, September. [Downloadable!]
    Other versions:
  11. Peter J. Lambert & Thor O. Thoresen, 2005. "Base independence in the analysis of tax policy effects: with an application to Norway 1992–2004," University of Oregon Economics Department Working Papers 2005-13, University of Oregon Economics Department, revised 27 Oct 2005. [Downloadable!]
  12. GALLEGO A., Juan Miguel, 2004. "Optimal income taxation with single and couple households," REVISTA DE ECONOMÍA DEL ROSARIO, UNIVERSIDAD DEL ROSARIO - FACULTAD DE ECONOMÍA. [Downloadable!]
  13. Peter J. Lambert and Thor O. Thoresen, 2005. "Base independence in the analysis of tax policy effects: with an application to Norway 1992–2004," Discussion Papers 434, Research Department of Statistics Norway. [Downloadable!]
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