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Getting to a feasible income equality

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  • Ji-Won Park
  • Chae Un Kim

Abstract

Income inequality is known to have negative impacts on an economic system, thus has been debated for a hundred years past or more. Numerous ideas have been proposed to quantify income inequality, and the Gini coefficient is a prevalent index. However, the concept of perfect equality in the Gini coefficient is rather idealistic and cannot provide realistic guidance on whether government interventions are needed to adjust income inequality. In this paper, we first propose the concept of a more realistic and feasible income equality that maximizes total social welfare. Then we show that an optimal income distribution representing the feasible equality could be modeled using the sigmoid welfare function and the Boltzmann income distribution. Finally, we carry out an empirical analysis of four countries and demonstrate how optimal income distributions could be evaluated. Our results show that the feasible income equality could be used as a practical guideline for government policies and interventions.

Suggested Citation

  • Ji-Won Park & Chae Un Kim, 2020. "Getting to a feasible income equality," Papers 2011.09119, arXiv.org, revised Mar 2021.
  • Handle: RePEc:arx:papers:2011.09119
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    References listed on IDEAS

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    1. Ravi Kanbur & Andy Snell, 2019. "Inequality Indices as Tests of Fairness," The Economic Journal, Royal Economic Society, vol. 129(621), pages 2216-2239.
    2. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-625, April.
    3. Kanbur, Ravi, 2000. "Income distribution and development," Handbook of Income Distribution, in: A.B. Atkinson & F. Bourguignon (ed.), Handbook of Income Distribution, edition 1, volume 1, chapter 13, pages 791-841, Elsevier.
    4. Magdalou, Brice & Nock, Richard, 2011. "Income distributions and decomposable divergence measures," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2440-2454.
    5. Thomas Piketty & Emmanuel Saez & Gabriel Zucman, 2018. "Distributional National Accounts: Methods and Estimates for the United States," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 133(2), pages 553-609.
    6. Paul Hufe & Ravi Kanbur & Andreas Peichlifo, 2022. "Measuring Unfair Inequality: Reconciling Equality of Opportunity and Freedom from Poverty [Multidimensional Poverty and Inequality]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 89(6), pages 3345-3380.
    7. Amartya K. Sen, 1997. "From Income Inequality to Economic Inequality," Southern Economic Journal, John Wiley & Sons, vol. 64(2), pages 384-401, October.
    8. Cowell, F.A., 2000. "Measurement of inequality," Handbook of Income Distribution, in: A.B. Atkinson & F. Bourguignon (ed.), Handbook of Income Distribution, edition 1, volume 1, chapter 2, pages 87-166, Elsevier.
    9. Matthew Smith & Danny Yagan & Owen Zidar & Eric Zwick, 2019. "Capitalists in the Twenty-First Century," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 134(4), pages 1675-1745.
    10. Park, Ji-Won & Kim, Chae Un & Isard, Walter, 2012. "Permit allocation in emissions trading using the Boltzmann distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4883-4890.
    11. Martin Ravallion, 2004. "The Debate on Globalization, Poverty and Inequality: why Measurement Matters," QA - Rivista dell'Associazione Rossi-Doria, Associazione Rossi Doria, issue 1, March.
    12. Anand Banerjee & Victor M. Yakovenko, 2009. "Universal patterns of inequality," Papers 0912.4898, arXiv.org, revised Apr 2010.
    13. Meltzer, Allan H & Richard, Scott F, 1981. "A Rational Theory of the Size of Government," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 914-927, October.
    14. Cowell, Frank A., 1980. "Generalized entropy and the measurement of distributional change," European Economic Review, Elsevier, vol. 13(1), pages 147-159, January.
    15. Thomas Goda, 2013. "The role of income inequality in crisis theories and in the subprime crisis," Working Papers PKWP1305, Post Keynesian Economics Society (PKES).
    16. Sen, Amartya, 1997. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198292975.
    17. Palma, J.G., 2011. "Homogeneous middles vs. heterogeneous tails, and the end of the ‘Inverted-U’: the share of the rich is what it's all about," Cambridge Working Papers in Economics 1111, Faculty of Economics, University of Cambridge.
    18. Ji-Won Park & Chae Un Kim & Walter Isard, 2011. "Permit Allocation in Emissions Trading using the Boltzmann Distribution," Papers 1108.2305, arXiv.org, revised Mar 2012.
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    Cited by:

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    4. Balisacan, Arsenio M. & dela Cruz, Russel Matthew M., 2021. "When a Pandemic Strikes: Balancing Health and Economy toward Sustainable and Inclusive Recovery," MPRA Paper 111259, University Library of Munich, Germany.

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