Fair division of income distribution, development and growth:evidence from a panel of countries.

Shao, Mingliang Frank (2011): Fair division of income distribution, development and growth:evidence from a panel of countries.

Abstract

I use an unbalanced panel data to explore the correlation between aggregate income per capita and income inequality. A lot of studies document controversial results using the Gini index or other summary measurements of income inequality. I measure income inequality by the two dimensions of a point on the Lorenz Curve, where the Lorenz curve has unit slope. It is called the fair division point, which involves the fair population share and the fair income share. The difference between the fair population share and the fair income share approximates the Gini index of an income distribution. My analysis shows that a country’s low income population relatively decreases (the fair population share drops slightly) as the economy grows; and at the same time, those low income households are relatively worse off (the fair income share falls even though the GDP per capita increases). Inversely, as an economy becomes rich, there are more low income households (the fair population share increases), but those low income households are better off (the fair income share goes up and GDP per capita increases as well). Overall, both the Gini index and the difference between the fair population share and the fair income share have been increasing during the last half century in the panel of countries. Therefore, income inequality increases as an economy is getting richer. The analysis presents significant evidence for optimum income inequality regarding both the aggregate productivity and the growth rate of GDP, where income inequality is measured by either the Gini index or the fair division shares. But no evidence has been found for the Kuznets’ hypothesis. Both high and low inequality of income distribution could harm an economy as we compare with its potential optimum inequality. Also developed economies show different optimum inequality from that in developing economies, and there is the growth-worst fair population share that results in the lowest growth in developed economies. Measurement of income inequality matters on its economic effects for the subsamples of the panel data.

• Item Type: MPRA Paper
• Language: English
• Keywords: Gini index, Fair population share, Fair income share, Development and growth
• Subjects: O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity > O47 - Empirical Studies of Economic Growth ; Aggregate Productivity ; Cross-Country Output Convergence; D - Microeconomics > D3 - Distribution > D31 - Personal Income, Wealth, and Their Distributions; F - International Economics > F4 - Macroeconomic Aspects of International Trade and Finance > F43 - Economic Growth of Open Economies

References

1. Acemoglu, Daron (2002), “Technical Change, Inequality and Labor Markets.” Journal of Economic Literature Vol. 40, No. 1 (Mar., 2002), pp7-72. 2. Acemoglu, Daron (2003), “Cross Country Inequality Trends” The Economic Journal, Vol. 113, No. 485, pp. F121-F149. 3. Aghion, Philippe, Eve Carlori, and Celicia Garcia-Penalosa (1999), “Inequality and Economic Growth: The Perspective of New Growth Theories.” Journal of Economic Literature, Vol. 37, No. 4, pp. 1615-1660. 4. Aghion, Philippe (2002), “Schumpeterian Growth Theory and the Dynamics of Income Inequality,” Econometrica, Vol. 70, No. 3 (May, 2002), pp. 855-882. 5. Atkinson, Anthony B. (1970), “On the Measurements of Inequality,” Journal of Economic Theory, 2, 244-263. 6. Atkinson, Anthony B., Thomas Piketty and Emmanuel Saez. (2010), “Top Incomes in the Long Run of History”. January, 2010. 7. Arellano, M., and Bover, O. (1995), “Another look at the instrumental variable estimation of error-components models.” Journal of Econometrics 68: 29-51. 8. Arellano, M., and Bond, S. (1991), “Some tests of specification for panel data: Monte Carlo evidence and an application to employment equations.” Review of Economic Studies 58: 277-297. 9. Autor, David, Katz, L. F., and Kearny, M. S. (2008), “Trends in U.S. Wage Inequality: Re-Assessing the Revisionists.” Trview of Economics and Statistics, 90(2), May 2008, 300-323. 10. Autor, David, Murnane, R. J., and Levy, F. (2003), “The Skill Content of Recent Technology Change: An Empirical Exploration.” Quarterly Journal of Economics, 118(4), pp. 1279-1334. 11. Autor, David, et al., (1998), “Computing Inequality: Have Computers Changed the Labor Market?” Quarterly Journal of Economics, 113(4), November, 1169-1214. 12. Bandyopadhyay, Debasis and Nasu, Parantap (2005), “What Drives the Cross-Country Growth and Inequality Correlation?” Canadian Journal of Economics, Vol., 38, Issue 4, pp. 1271-1297, November, 2005. 13. Banerjee, Abhijit and Newman, Andrew (1993), “Occupational Choice and the Process of Development” The Journal of Political Economy, Vol. 101, No. 2, pp. 274-298. 14. Banerjee, Abhijit and Duflo, Esther (2003), “Inequality and Growth: What Can the Data Say?” Journal of Economic Growth, 8, pp. 267-299, 2003. 15. Barro, Robert J., (2000), “Inequality and Growth in A Panel of Countries.” Journal of Economic Growth, 5: pp5-32. 66 16. Barro, Robert J. and Sala-i-Martin, (1992), “Convergence.” The Journal of Political Economy, Vol. 100, No. 2, pp223-251. 17. Becker, Gary S. and Nigel Tomes, (1986), “Human Capital and the Rise and Fall of Families,” Journal of Labor Economics, 1986, Vol. 4, No. 3, pt. 2. 18. Becker, Gary S., et al., (2005), “The Quantity and Quality of Life and the Evolution of World Inequality” The American Economic Review, Vol. 95, No. 1, pp. 277-291. 19. Blundell, R., and S. Bond. (1998), “Initial conditions and moment restrictions in dynamic panel data models.” Journal of Econometrics. 87: 115-143. 20. Breen, Richard (1997), “Inequality, Economic Growth and Social Mobility,” The British Journal of Sociology, Vol. 48, No. 3 (Sep., 1997), pp. 429-449. 21. Brian Goesling, (2001), “Changing Income Inequalities within and between Nations: New Evidence,” American Sociological Review, Vol. 66, No. 5 (Oct., 2001), pp. 745-761. 22. Castaneda, Ana, Diaz-Gimenez, Javier and Rios-Rull, Jose-Victor (2002), “Accounting for the US Earnings and Wealth Inequality,” Working Paper, August 17, 2002. 23. Costas Meghir and Luigi Pistaferri, (2004), “Income Variance Dynamics and Heterogeneity,” Econometrica, Vol. 72, No. 1 (Jan., 2004), pp. 1-32. 24. Dasgupta, Partha, Sen, Amartya and Starrett, David (1973), “Notes on the Measurement of inequality,” Journal of Economic Theory. 6, 18G187 (1973). 25. Diaz-Gimenez, Javier, et al (1997), “Dimensions of Inequality: Facts on the U.S. Distributions of Earnings, Income, and Wealth” Federal Reserve Bank of Minneapolis Quarterly Review, Vol. 21, No. 2, pp. 3-21. 26. Dowrick, Steve and Akmal, Muhammad (2005), “Contradictory Trends in Global Income Inequality: A Tale of Two Biases,” Review of Income and Wealth, Series 51, No.2, Jun. 2005. 27. Duffy, John, Papageorgiou, Chris, and Perez-Sebastian, Fidel (2004), “Capital-Skill Complementarity? Evidence from A Panel of Countries” The Review of Economics and Statistics, Vol, 86, No. 1, pp. 327-344. 28. Esteban, Joan and Ray, Debraj (2006), “Inequality, Lobbying, and Resource Allocation,” The American Economic Review, VOL. 96 NO. 1, March, 2006. 29. François Bourguignon and Christian Morrisson (2002), “Inequality among World Citizens: 1820-1992,” The American Economic Review, Vol. 92, No. 4 (Sep., 2002), pp. 727-744. 30. Firebaugh, Glenn (1999), “Empirics of World Income Inequality,” The American Journal of Sociology, Vol.104, No. 6 (May, 1999), pp. 1597-1630. 31. Firebaugh, Glenn (2000), “The Trend in Between-Nation Income Inequality,” Annual Review of Sociology, Vol. 26 (2000), pp. 323-339. 67 32. Galor, Oded. (2009), “Inequality and Economic Growth: An Overview,” Prepared as an introduction for Galor, Oded. “Inequality and Economic Development: The Modern Perspective” 33. Galor, Oded and Moav, Omer (2004), “From Physical to Human Capital Accumulation: Inequality and the Process of Development,” The Review of Economic Studies, Vol. 71, No 4, pp 1001-1026. 34. Galor, Oded and Tsiddon, Daniel (1997), “Technological Progress, Mobility and Economic Growth.” The American Economic Review, Vol. 87, No. 3, pp. 363-382. 35. Galor, Oded and Zeira, Joseph (1993), “Income Distribution and Macroeconomics,” The Review of Economic Studies, Vol. 60, No. 1, pp. 35-52. 36. Heathcote, Jonathan, et al., (2004), “The Cross-Sectional Implications of Rising Wage Inequality in the United States.” 2004. CEPR Discussion Paper #4296. 37. Heathcote, Jonathan, et al., (2009), “Unequal We Stand: An Empirical Analysis of Economic Inequality in the United States, 1967-2006”, Working Paper. Oct. 2009. 38. Kaldor, Nicolas, (1955), “Alternative Theories of Distribution,” Review of Economics Studies, 23(2), 83-100. 39. Keynes, John M., (1920), “The Economic Consequences of Peace.” Macmillan Co. Limited. 40. Krueger, Dirk, et al (2007), “Cross Sectional Facts for Macroeconomists” Working Paper. 41. Kuznets, Simon, (1955), “Economic Growth and Income Inequality” American Economic Review, Vol. XLV, No. 1, pp. 1-29. 42. Li, Hongyi, Danyang Xie, Hengfu Zou, (2000), “Dynamics of income distribution,” Canadian Journal of Economics, 2000, 33, (4), 937-961. 43. Li, Hongyi, Zou, Hengfu, (1998), “Income Inequality is not harmful for growth: Theory and Evidence,” Review of Development economics, 2(3), 318-334, 1998. 44. Loury, Glenn C., (1981), “Intergenerational Transfers and the Distribution of Earnings.” Econometrica, Vol. 49, No. 4 (July, 1981). 45. Mookherjee, Dilip and Napel, Stefan (2006), “Intergenerational Mobility and Macroeconomic Historical Dependence,” Journal of economic Theory, 2006. 46. Newbery, David (1970), “A Theorem on the Measurement of Inequality” Journal of Economic Theory, 2, pp. 264-266. 47. Persson, T and G. Tabellini, (1997), “Is Inequality Harmful for Growth? Theory and Evidence,” American Economic Review, 84(1997):600-21. 48. Ray, Debraj (2005), “On the dynamics of inequality,” Economic Theory, (2006) 29: 291-306. 68 49. Restuccia, Diego and Urrutia, Carlos (2004), “Intergenerational Persistence of Earnings: The Role of Early and College Education,” American Economics Review, Vol. 94, No. 5, December, 2004, pp. 1354-78. 50. Romer, Paul M. (1986), “Increasing Returns and Long Run Growth” The Journal of Political Economy, Vol. 94, No. 5, pp. 1002-1027. 51. Romer, Paul M. (1990), “Endogenous Technological Change” The Journal of Political Economy, Vol. 98, No. 5, part 2. pp. S71-S102. 52. Rodrigues, Santiago Budria, et al. (2002), “Updated Facts On the US Distributions of Earnings, Income and Wealth,” Federal Reserve Bank of Minneapolis Quarterly Review, Summer 2002, Vol 26, No. 3, pp 2-35. 53. Sala-I-Martin, Xavier (2006), “The World Distribution of Income: Falling Poverty and …Convergence, Period,” The Quarterly Journal of Economics, Vol. CXXI May 2006(2). 54. Shao, Liang, (2010), “Skills, Occupation Inequality and Development,” Oct. 2010, University of Miami Dissertation. 55. Shorrocks, Anthony F. (1978), “ The Measurement of Mobility” Econometrica, Vol. 46, No. 5, pp. 1013-1024 56. Shorrocks, Anthony F. (1983), “Ranking Income Distribution” Economica, New Series, Vol. 50, No. 197, pp. 3-17. 57. Yang, Xiaokai and Zhang, Dingshen (2003), “Economic Development, International Trade and Income Distribution.” Journal of Economics, Vol. 38, No. 2, pp. 163-190.