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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- Alberto Alesina & Dani Rodrik, 1994.
"Distributive Politics and Economic Growth,"
The Quarterly Journal of Economics,
Oxford University Press, vol. 109(2), pages 465-490.
- Alberto Alesina & Dani Rodrik, 1991. "Distributive Politics and Economic Growth," NBER Working Papers 3668, National Bureau of Economic Research, Inc.
- Rodrik, Dani & Alesina, Alberto, 1994. "Distributive Politics and Economic Growth," Scholarly Articles 4551798, Harvard University Department of Economics.
- Alesina, Alberto F & Rodrik, Dani, 1991. "Distributive Politics and Economic Growth," CEPR Discussion Papers 565, C.E.P.R. Discussion Papers.
- Mitra, Tapan & Privileggi, Fabio, 2005. "Cantor Type Attractors in Stochastic Growth Models," POLIS Working Papers 43, Institute of Public Policy and Public Choice - POLIS.
- Benhabib, Jess & Spiegel, Mark, 1997. "Cross-Country Growth Regressions," Working Papers 97-20, C.V. Starr Center for Applied Economics, New York University.
- Oded Galor & Joseph Zeira, 1993. "Income Distribution and Macroeconomics," Review of Economic Studies, Oxford University Press, vol. 60(1), pages 35-52.
- Galor, Oded & Zeira, Joseph, 1988. "Income Distribution and Macroeconomics," MPRA Paper 51644, University Library of Munich, Germany, revised 01 Sep 1989.
- Oded Galor & Joseph Zeira, 2013. "Income Distribution and Macroeconomics," Working Papers 2013-12, Brown University, Department of Economics.
- Esteban, Joan & Ray, Debraj, 1994. "On the Measurement of Polarization," Econometrica, Econometric Society, vol. 62(4), pages 819-851, July.
- 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. & 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).
- 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).
- Roland Bénabou, 1996. "Inequality and Growth," NBER Chapters, in: NBER Macroeconomics Annual 1996, Volume 11, pages 11-92 National Bureau of Economic Research, Inc.
- Roland Benabou, 1996. "Inequality and Growth," NBER Working Papers 5658, National Bureau of Economic Research, Inc.
- Bénabou, Roland, 1996. "Inequality and Growth," CEPR Discussion Papers 1450, C.E.P.R. Discussion Papers.
- Benabou, R., 1996. "Inequality and Growth," Working Papers 96-22, C.V. Starr Center for Applied Economics, New York University.
- repec:dau:papers:123456789/10091 is not listed on IDEAS
- 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 274-298, April.
- Abhijit V. Banerjee & Andrew F. Newman, 1990. "Occupational Choice and the Process of Development," Discussion Papers 911, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-358, May.
- 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 & GarcÃa-PeÃ±alosa, Cecilia, 1999. "Inequality and Economic Growth: The Perspective of the New Growth Theories," Scholarly Articles 12502063, Harvard University Department of Economics.
- 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.
- Loury, Glenn C, 1981. "Intergenerational Transfers and the Distribution of Earnings," Econometrica, Econometric Society, vol. 49(4), pages 843-867, June.
- Roland Benabou, 2000. "Unequal Societies: Income Distribution and the Social Contract," American Economic Review, American Economic Association, vol. 90(1), pages 96-129, March.
- 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.
- Barro, Robert J, 2000. "Inequality and Growth in a Panel of Countries," Journal of Economic Growth, Springer, vol. 5(1), pages 5-32, March.
- 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.
- 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 1447-1458, December.
- 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.
- Thomas Piketty, 1997. "The Dynamics of the Wealth Distribution and the Interest Rate with Credit Rationing," Review of Economic Studies, Oxford University Press, vol. 64(2), pages 173-189.
- 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 125-142, March.
- 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.
- L. Montrucchio & F. Privileggi, 1999. "Fractal steady states instochastic optimal control models," Annals of Operations Research, Springer, vol. 88(0), pages 183-197, January. Full references (including those not matched with items on IDEAS)
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