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The Atlas of Inequality Aversion: Theory and Empirical Evidence from the Luxembourg Income Study Database

Author

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  • Stanislaw Maciej Kot
  • Piotr Paradowski

Abstract

In the distributive analysis, the constant relative inequality aversion utility function is a standard tool for ethical judgements of income distributions. The sole parameter ε of this function expresses a society’s aversion to inequality. However, the profession has not committed to the range of ε. This paper aims to estimate the parameter ε of the constant relative inequality aversion utility function using datasets available from the Luxembourg Income Study Database. We utilise the method of estimating ε assuming incomes obey the generalised beta distribution of the second kind. The estimator of ε is derived from the mathematical condition of the existence of the social welfare function. We elaborate an ‘atlas’ of 388 estimates of ε for 55 countries across time. We also verify two hypotheses: 1) The richer the country, the greater the societal inequality aversion; 2) The greater (lower) the inequality aversion, the lower (greater) income inequality. Our data do not confirm the 1st hypothesis. For verifying the 2nd hypothesis, we use the inequality-development relationship augmented by inequality aversion. The 2nd hypothesis is unfalsified in about 90% of country-year cases.

Suggested Citation

  • Stanislaw Maciej Kot & Piotr Paradowski, 2022. "The Atlas of Inequality Aversion: Theory and Empirical Evidence from the Luxembourg Income Study Database," LIS Working papers 826, LIS Cross-National Data Center in Luxembourg.
    • Handle: RePEc:lis:liswps:826
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    References listed on IDEAS

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    1. Richard Blundell & Martin Browning & Costas Meghir, 1994. "Consumer Demand and the Life-Cycle Allocation of Household Expenditures," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(1), pages 57-80.
    2. Mitra, Tapan & Ok, Efe A, 1996. "Personal Income Taxation and the Principle of Equal Sacrifice Revisited," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 925-948, November.
    3. Costa-Font, J.; & Cowell, F.;, 2019. "Incorporating Inequality Aversion in Health-Care Priority Setting," Health, Econometrics and Data Group (HEDG) Working Papers 19/04, HEDG, c/o Department of Economics, University of York.
    4. David Aristei & Cristiano Perugini, 2016. "Inequality aversion in post-communist countries in the years of the crisis," Post-Communist Economies, Taylor & Francis Journals, vol. 28(4), pages 436-448, October.
    5. Stanislaw Maciej Kot, 2017. "Estimating Inequality Aversion From Subjective Assessments Of The Just Noticeable Differences In Welfare," Equilibrium. Quarterly Journal of Economics and Economic Policy, Institute of Economic Research, vol. 12(1), pages 123-146, March.
    6. Lambert, Peter J. & Millimet, Daniel L. & Slottje, Daniel, 2003. "Inequality aversion and the natural rate of subjective inequality," Journal of Public Economics, Elsevier, vol. 87(5-6), pages 1061-1090, May.
    7. François Bourguignon & Amedeo Spadaro, 2012. "Tax–benefit revealed social preferences," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 10(1), pages 75-108, March.
    8. Clark, Andrew E. & D'Ambrosio, Conchita, 2014. "Attitudes to Income Inequality: Experimental and Survey Evidence," IZA Discussion Papers 8136, Institute of Labor Economics (IZA).
    9. Richard V. Burkhauser & Shuaizhang Feng & Stephen P. Jenkins, 2009. "Using The P90/P10 Index To Measure U.S. Inequality Trends With Current Population Survey Data: A View From Inside The Census Bureau Vaults," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 55(1), pages 166-185, March.
    10. Feng, Shuaizhang & Burkhauser, Richard V. & Butler, J.S., 2006. "Levels and Long-Term Trends in Earnings Inequality: Overcoming Current Population Survey Censoring Problems Using the GB2 Distribution," Journal of Business & Economic Statistics, American Statistical Association, vol. 24, pages 57-62, January.
    11. McDonald, James B. & Xu, Yexiao J., 1995. "A generalization of the beta distribution with applications," Journal of Econometrics, Elsevier, vol. 69(2), pages 427-428, October.
    12. Sheshinski, Eytan, 1972. "Relation between a social welfare function and the gini index of income inequality," Journal of Economic Theory, Elsevier, vol. 4(1), pages 98-100, February.
    13. Singh, S K & Maddala, G S, 1976. "A Function for Size Distribution of Incomes," Econometrica, Econometric Society, vol. 44(5), pages 963-970, September.
    14. Layard, R. & Mayraz, G. & Nickell, S., 2008. "The marginal utility of income," Journal of Public Economics, Elsevier, vol. 92(8-9), pages 1846-1857, August.
    15. Ben Groom & David Maddison Pr., 2019. "New Estimates of the Elasticity of Marginal Utility for the UK," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 72(4), pages 1155-1182, April.
    16. Martin Ravallion, 2015. "The Luxembourg Income Study," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 13(4), pages 527-547, December.
    17. Elina Tuominen, 2015. "Reversal of the Kuznets Curve: Study on the Inequality-Development Relation Using Top Income Shares Data," WIDER Working Paper Series wp-2015-036, World Institute for Development Economic Research (UNU-WIDER).
    18. Brazauskas, Vytaras, 2002. "Fisher information matrix for the Feller-Pareto distribution," Statistics & Probability Letters, Elsevier, vol. 59(2), pages 159-167, September.
    19. Yoram Amiel & John Creedy & Stan Hurn, 1999. "Measuring Attitudes Towards Inequality," Scandinavian Journal of Economics, Wiley Blackwell, vol. 101(1), pages 83-96, March.
    20. repec:hal:pseose:halshs-00754607 is not listed on IDEAS
    21. Schlör, Holger & Fischer, Wolfgang & Hake, Jürgen-Friedrich, 2012. "Measuring social welfare, energy and inequality in Germany," Applied Energy, Elsevier, vol. 97(C), pages 135-142.
    22. Richter, Wolfram F., 1983. "From ability to pay to concepts of equal sacrifice," Journal of Public Economics, Elsevier, vol. 20(2), pages 211-229, March.
    23. David J. Evans, 2005. "The elasticity of marginal utility of consumption: estimates for 20 OECD countries," Fiscal Studies, Institute for Fiscal Studies, vol. 26(2), pages 197-224, June.
    24. Young, H Peyton, 1990. "Progressive Taxation and Equal Sacrifice," American Economic Review, American Economic Association, vol. 80(1), pages 253-266, March.
    25. repec:pes:ierequ:v:11:y:2016:i:4:p:123-146 is not listed on IDEAS
    26. Ok, Efe A., 1995. "On the principle of equal sacrifice in income taxation," Journal of Public Economics, Elsevier, vol. 58(3), pages 453-467, November.
    27. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    28. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    29. Stanislaw Maciej Kot, 2020. "Estimating the parameter of inequality aversion on the basis of a parametric distribution of incomes," Equilibrium. Quarterly Journal of Economics and Economic Policy, Institute of Economic Research, vol. 15(3), pages 391-417, September.
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    Cited by:

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    2. Michał Bernard Pietrzak & Marta Kuc-Czarnecka, 2022. "Transformation of Energy Markets: Description, Modeling of Functioning Mechanisms and Determining Development Trends," Energies, MDPI, vol. 15(15), pages 1-6, July.
    3. Giuseppe Albanese & Guglielmo Barone & Guido de Blasio, 2023. "The impact of place‐based policies on interpersonal income inequality," Economica, London School of Economics and Political Science, vol. 90(358), pages 508-530, April.

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    More about this item

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • D30 - Microeconomics - - Distribution - - - General
    • D60 - Microeconomics - - Welfare Economics - - - General
    • I30 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General
    • O15 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Economic Development: Human Resources; Human Development; Income Distribution; Migration

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