Poor’s behaviour and inequality traps: the role of human capital

Lombardo, Vincenzo (2008): Poor’s behaviour and inequality traps: the role of human capital.

Abstract

We evaluate whether and how the persistence of inequality and the presence of inequality traps carry over the persistence of poverty and possible aggregate economic inefficiencies. We propose a microeconomic formalization of one possible definition of poverty and of the behaviour of poor and rich agents. Poverty is defined as lack of or low societal participation, which is source of both a direct private benefit and an indirect gain. Analysing poverty under the individual rational choice, we are able to endogeneize the threshold amount of the participation good needed to join the additional indirect benefit as well as the threshold level of income - the poverty line - needed to buy that amount; further we find the conditions for their existence which in turn determine also their level. In an overlapping generation structure we show that in economies starting largely poor two equilibria exist; one low locally stable equilibrium to which low and middle-income class converge and one upper locally unstable over the which richer classes of income enter an explosive path, with unbounded growth rates of personal income. In the rich regime the whole population enter the explosive path, with unbounded growth rates. We are able to enrich the dynamics a là Galor and Zeira (1993) in an economic environment with perfect capital markets, instead of the assumption of markets imperfections, by introducing a methodological innovation which connects the presence of the externality in the human capital accumulation of the children directly to the preference of parents. By further restricting the functional form of the initial income distribution to be lognormal we find that the mean income and the variance (i.e. inequality) of the richer part of the distribution are always higher than the ones of the lower part; moreover, while within the poor class inequality tends to zero in the very long-run, within the richer class inequality is increasing at an increasing rate. Finally, a negative relation between initial inequality and economic growth is observed. The inequality traps which cause the poor regime to emerge are also sources of aggregate economic inefficiencies, which can be eliminated by reducing income disparities accordingly.

• Item Type: MPRA Paper
• Language: English
• Keywords: Poverty, economic growth, inequality traps, human capital, endogenous preference
• Subjects: D - Microeconomics > D3 - Distribution > D31 - Personal Income, Wealth, and Their Distributions; J - Labor and Demographic Economics > J2 - Demand and Supply of Labor > J24 - Human Capital ; Skills ; Occupational Choice ; Labor Productivity; O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity > O40 - General

References

Aitchison, J. and J. A. C. Brown (1957), The Lognormal Distribution, Cambridge, Cambridge University Press.

Atkinson, A. B. (1970), ``On the measurement of inequality'', Journal of economic theory, No. 2, pp. 244-263.

Atkinson, A. B. (1987), ``On the measurement of poverty'', Econometrica, 55(4), pp.749-764.

Atkinson, A. B. and F. Bourguignon (eds., 2000), Handbook of Income Distribution, Vol. 1, Elsevier Science Ltd., North-Holland

Azariadis, C. (1993), Intertemporal Macroeconomics, Oxford: Blackwell Publishers.

Azariadis, C. (1996), ``The economics of poverty traps part one: Complete markets'', Journal of Economic Growth, 1(4), pp. 449–486.

Azariadis, C. and A. Drazen (1990), ``Threshold externalities in economic development'', Quarterly Journal of Economics, 105(2), pp. 501-526.

Banerjee, A. V. (2000), ``The Two Poverties'', Nordic Journal of Political Economy, Vol. 26, pp. 132-140.

Banerjee, A. V., Benabou, R. and D. Mookherjee (2006), Understanding Poverty, Oxford University Press.

Banerjee, A. V. and E. Duflo (2007), ``The Economic Lives of the Poor'', Journal of Economic Perspectives, 21 (1), pp. 141-167.

Banerjee, A. V. and S. Mullainathan (2007), ``Climbing Out of Poverty: Long Term Decisions Under Income Stress'', mimeo, BREAD conference at CEPR (London) on Oct. 5th, 2007.

Banerjee, A. V. and A. F. Newman (1993), ``Occupational choice and the process of development'', The Journal of Political Economy, Vol. 101, No. 2, pp. 274-298.

Banerjee, A. V. and A. F. Newman (1994), ``Poverty, Incentives, and Development'', The American Economic Review, Vol. 84, No. 2, Papers and Proceedings, pp. 211-215

Becker, G. S. (1974), ``A Theory of Social Interactions'', The Journal of Political Economy, Vol. 82, No. 6, pp. 1063-1093.

Becker, G. S. and N. Tomes (1979), ``An Equilibrium Theory of the Distribution of Income and Intergenerational Mobility'', The Journal of Political Economy, Vol. 87, No. 6, pp. 1153-1189.

Benabou, R. (1993), ``Working of a city: Location, Education and Production'', The Quarterly Journal of Economics, 108 (3), pp. 619-652.

Benabou, R. (1996), ``Equity and Efficiency in Human Capital Investment: The Local Connection'', Review of Economic Studies, 63, 237–264.

Bertrand, M., Mullainathan, S. and E. Shafir (2004), ``A behavioural-economics view of poverty'', The American Economic Review, Vol. 94, No. 2, Papers and Proceedings, pp. 419-423.

Bourguignon, F., Ferreira F. and M. Walton (2007), ``Equity, Efficiency and inequality traps: A research agenda'', Journal of Economic Inequality, 5, pp. 235-256.

Ceroni, C. B. (2001), ``Poverty traps and Human Capital Accumulation'', Economica, Vol 68, N°270, pp. 203-219.

Chatterjee, S. (1994), ``Transitional Dynamics and the Distribution of Wealth in a Neoclassical Growth Model'', Journal of Public Economics, 54, pp. 97-119.

Chatterjee, S. and B. Ravikumar (1997), ``Minimum Consumption Requirements: Theoretical and Quantitative Implications for Growth and Distribution'', Working paper no. 97-15, Federal Reserve Bank of Philadelphia.

Cohen, G. A. (1989), ``On the currency of egalitarian justice'', Ethics, 99, pp. 906-944..

De La Croix, D. and P. Michel (2002), A Theory of Economic Growth. Dynamics and Policy in Overlapping Generations, Cambridge University Press.

Durlauf, S., (1996), ``Theory of persistent income inequality'', Journal of Economic Growth 1 (1), 75–94.

Dworkin R. (1981a), ``What is equality? Part 1: Equality of welfare'', Philosophy and Public Affairs, 10, pp. 185-246.

Dworkin R. (1981b), ``What is equality? Part 2: Equality of resources'', Philosophy and Public Affairs, 10, pp. 283-345.

Foster, J. (1998), ``Absolute versus Relative Poverty'', The American Economic Review Papers and Proceedings, Vol. 88, No. 2, pp. 335-341.

Foster, J., Greer J. and E. Thorbecke (1984), ``A class of decomposable poverty measures'', Econometrica, 52, pp. 761– 765.

Galor, O. and D. Tsiddon (1997), ``The Distribution of Human Capital and Economic Growth'', Journal of Economic Growth, 2, pp. 93-124.

Galor, O. and D. Tsiddon (1997a), ``Technological Progress, Mobility, and Economic Growth'', American Economic Review, 87, 363-382.

Galor, O. and J. Zeira (1993), ``Income Distribution and Macroeconomics'', Review of Economic Studies, 60, 35-52.

Glomm, G. and B. Ravikumar (1992), ``Public Versus Private Investment In Human Capital: Endogenous Growth and Income Inequality'', The Journal of Political Economy, Vol. 100, No. 4. (August), pp. 818-834.

Gradstein, M. and M. Justman (1997), ``Democratic Choice of an Education System: Implications for Growth and Income Distribution'', Journal of Economic Growth, 2, pp. 169-183.

Lewis, G. W. and D. T. Ulph (1988), ``Poverty, Inequality and Welfare'', The Economic Journal, Vol. 98, No. 390, pp. 117-131.

Morduch, J. (1994), ``Poverty and Vulnerability'', The American Economic Review, Vol. 84, No. 2, Papers and Proceedings, pp. 221-225.

Roemer, J. E. (1998), Equality of Opportunity, Cambridge: MA, Harvard University Press.

Runciman, W. G. (1966), Relative deprivation and social justice, London: Routledge & Kegan Paul

Sen, A. K. (1976), ``Poverty: An Ordinal Approach to Measurement'', Econometrica, Vol. 44, No. 2, pp. 219-231.

Sen, A. K. (1983), ``Poor relatively speaking'', Oxford Economic Papers, Vol. 35(2), pp. 153-169.

Sen, A. K. (1985), ``A Sociological Approach to the Measurement of Poverty: A Reply to Professor Peter Townsend'', Oxford Economic Papers, New Series, Vol. 37, No. 4, pp. 669-676.

Sen, A. K. (1997), On economic inequality, expanded ed. with J. E. Foster, Oxford University Press.

Stiglitz, J. E. (1969), ``Distribution of income and wealth among individuals'', Econometrica, Vol. 37, pp. 382-97

Townsend, P. (1985), ``A Sociological Approach to the Measurement of Poverty-A Rejoinder to Professor Amartya Sen'', Oxford Economic Papers, New Series, Vol. 37, No. 4, pp. 659-668.

Van de Gaer, D., Schokkaert, E. and M. Martinez (2001), ``Three meanings of intergenerational mobility'', Economica, 68, pp. 519-537.