The Fractal Nature of Inequality in a Fast Growing World
In this paper we investigate wealth inequality/polarization properties related to the support of the limit distribution of wealth in innovative economies characterized by uninsurable individual risk. We work out two simple successive generation examples, one with stochastic human capital accumulation and one with R&D, and prove that intense technological progress makes the support of the wealth distribution converge to a fractal Cantor-like set. Such limit distribution implies the disappearance of the middle class, with a “gap” between two wealth clusters that widens as the growth rate becomes higher. Hence, we claim that in a highly meritocratic world in which the payoff of the successful individuals is high enough, and in which social mobility is strong, societies tend to become unequal and polarized. We also show that a redistribution scheme financed by proportional taxation does not help cure society’s inequality/polarization – on the contrary, it might increase it – whereas random taxation may well succeed in filling the gap by giving rise to an artificial middle class, but it hardly makes such class sizeable enough. Finally, we investigate how disconnection, a typical feature of Cantor-like sets, is related to inequality in the long run.
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- Oded Galor & Joseph Zeira, 2013.
"Income Distribution and Macroeconomics,"
2013-12, Brown University, Department of Economics.
- Abhijit V. Banerjee & Andrew F. Newman, 1990.
"Occupational Choice and the Process of Development,"
911, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Banerjee, Abhijit V & Newman, Andrew F, 1993. "Occupational Choice and the Process of Development," Journal of Political Economy, University of Chicago Press, vol. 101(2), pages 274-98, April.
- Barro, Robert J, 2000. " Inequality and Growth in a Panel of Countries," Journal of Economic Growth, Springer, vol. 5(1), pages 5-32, March.
- Roland Bénabou, 1996.
"Inequality and Growth,"
in: NBER Macroeconomics Annual 1996, Volume 11, pages 11-92
National Bureau of Economic Research, Inc.
- Benabou, R., 1996. "Inequality and Growth," Working Papers 96-22, C.V. Starr Center for Applied Economics, New York University.
- Bénabou, Roland, 1996. "Inequality and Growth," CEPR Discussion Papers 1450, C.E.P.R. Discussion Papers.
- Roland Benabou, 1996. "Inequality and Growth," NBER Working Papers 5658, National Bureau of Economic Research, Inc.
- Alberto Alesina & Dani Rodrik, 1991.
"Distributive Politics and Economic Growth,"
NBER Working Papers
3668, National Bureau of Economic Research, Inc.
- Garcia-Penalosa, Cecilia & Aghion, Philippe & Caroli, Eve, 1999.
"Inequality and Economic Growth: The Perspective of the New Growth Theories,"
Economics Papers from University Paris Dauphine
123456789/10091, Paris Dauphine University.
- Cecilia Garcia-Penalosa & Eve Caroli & Philippe Aghion, 1999. "Inequality and Economic Growth: The Perspective of the New Growth Theories," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1615-1660, December.
- Aghion, Philippe & Caroli, Eve & Garcia-Penalosa, Cecilia, 1999. "Inequality and economic growth: the perspective of the new growth theories," CEPREMAP Working Papers (Couverture Orange) 9908, CEPREMAP.
- Aghion, Philippe & Caroli, Eve & GarcÃa-PeÃ±alosa, Cecilia, 1999. "Inequality and Economic Growth: The Perspective of the New Growth Theories," Scholarly Articles 12502063, Harvard University Department of Economics.
- Guido Cozzi & Fabio Privileggi, 2002. "Wealth Polarization and Pulverization in Fractal Societies," ICER Working Papers - Applied Mathematics Series 39-2002, ICER - International Centre for Economic Research.
- Benhabib, Jess & Spiegel, Mark, 1997. "Cross-Country Growth Regressions," Working Papers 97-20, C.V. Starr Center for Applied Economics, New York University.
- Roland Benabou, 2000. "Unequal Societies: Income Distribution and the Social Contract," American Economic Review, American Economic Association, vol. 90(1), pages 96-129, March.
- Joan-Maria Esteban & Debraj Ray, 1991.
"On the Measurement of Polarization,"
Boston University - Institute for Economic Development
18, Boston University, Institute for Economic Development.
- Esteban, J.M. & Ray, D., 1992. "On the Measurement of Polarization," UFAE and IAE Working Papers 171.92, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Esteban, J. & Ray, D., 1993. "On the Measurement of Polarization," UFAE and IAE Working Papers 221.93, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Andreoni, James, 1989. "Giving with Impure Altruism: Applications to Charity and Ricardian Equivalence," Journal of Political Economy, University of Chicago Press, vol. 97(6), pages 1447-58, December.
- Loury, Glenn C, 1981. "Intergenerational Transfers and the Distribution of Earnings," Econometrica, Econometric Society, vol. 49(4), pages 843-67, June.
- Kristin J. Forbes, 2000. "A Reassessment of the Relationship between Inequality and Growth," American Economic Review, American Economic Association, vol. 90(4), pages 869-887, September.
- Piketty, Thomas, 1997. "The Dynamics of the Wealth Distribution and the Interest Rate with Credit Rationing," Review of Economic Studies, Wiley Blackwell, vol. 64(2), pages 173-89, April.
- Peter Howitt, 1999. "Steady Endogenous Growth with Population and R & D Inputs Growing," Journal of Political Economy, University of Chicago Press, vol. 107(4), pages 715-730, August.
- Benhabib, Jess & Rustichini, Aldo, 1996. " Social Conflict and Growth," Journal of Economic Growth, Springer, vol. 1(1), pages 125-42, March.
- Mitra, Tapan & Privileggi, Fabio, 2005. "Cantor Type Attractors in Stochastic Growth Models," POLIS Working Papers 43, Institute of Public Policy and Public Choice - POLIS.
- Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-58, May.
- Mitra, Tapan & Privileggi, Fabio, 2003. "Cantor Type Invariant Distributions in the Theory of Optimal Growth under Uncertainty," Working Papers 03-09, Cornell University, Center for Analytic Economics.
- Brock, William A. & Mirman, Leonard J., 1972. "Optimal economic growth and uncertainty: The discounted case," Journal of Economic Theory, Elsevier, vol. 4(3), pages 479-513, June.
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