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.
To our knowledge, this item is not available for
download. To find whether it is available, there are three
1. Check below under "Related research" whether another version of this item is available online.
2. Check on the provider's web page whether it is in fact available.
3. Perform a search for a similarly titled item that would be available.
|Date of creation:||Dec 2007|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: 0141 330 4618
Fax: 0141 330 4940
Web page: http://www.gla.ac.uk/schools/business/research/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Galor, Oded & Zeira, Joseph, 1993.
"Income Distribution and Macroeconomics,"
Review of Economic Studies,
Wiley Blackwell, vol. 60(1), pages 35-52, January.
- 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.
- Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-58, May.
- Mitra, Tapan & Privileggi, Fabio, 2005. "Cantor Type Attractors in Stochastic Growth Models," POLIS Working Papers 43, Institute of Public Policy and Public Choice - POLIS.
- Roland Benabou, 1996.
"Inequality and Growth,"
NBER Working Papers
5658, National Bureau of Economic Research, Inc.
- 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.
- Aghion, Philippe & Caroli, Eve & Garcia-Penalosa, Cecilia, 1999.
"Inequality and economic growth: the perspective of the new growth theories,"
CEPREMAP Working Papers (Couverture Orange)
- 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.
- 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.
- 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.
- Esteban, Joan & Ray, Debraj, 1994.
"On the Measurement of Polarization,"
Econometric Society, vol. 62(4), pages 819-51, 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.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).
- Alberto Alesina & Dani Rodrik, 1991.
"Distributive Politics and Economic Growth,"
NBER Working Papers
3668, National Bureau of Economic Research, Inc.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Barro, Robert J, 2000. " Inequality and Growth in a Panel of Countries," Journal of Economic Growth, Springer, vol. 5(1), pages 5-32, March.
- Loury, Glenn C, 1981. "Intergenerational Transfers and the Distribution of Earnings," Econometrica, Econometric Society, vol. 49(4), pages 843-67, June.
- Benhabib, Jess & Rustichini, Aldo, 1996. " Social Conflict and Growth," Journal of Economic Growth, Springer, vol. 1(1), pages 125-42, March.
- Roland Benabou, 2000. "Unequal Societies: Income Distribution and the Social Contract," American Economic Review, American Economic Association, vol. 90(1), pages 96-129, 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.
When requesting a correction, please mention this item's handle: RePEc:gla:glaewp:2007_45. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Jeanette Findlay)
If references are entirely missing, you can add them using this form.