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The fractal nature of inequality in a fast growing world: new version

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Author Info
Guido Cozzi
Fabio Privileggi

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Abstract

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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Paper provided by Department of Economics, University of Glasgow in its series Working Papers with number 2009_30.

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Date of creation: Jul 2009
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Handle: RePEc:gla:glaewp:2009_30

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Related research
Keywords: Wealth Inequality; Growth; Fractal; Polarization; Pulverization.;

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Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
O33 - Economic Development, Technological Change, and Growth - - Technological Change - - - Technological Change: Choices and Consequences; Diffusion Processes

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  1. Roland Benabou, 2000. "Unequal Societies: Income Distribution and the Social Contract," American Economic Review, American Economic Association, vol. 90(1), pages 96-129, March. [Downloadable!] (restricted)
  2. Flavio Cunha & James J. Heckman, 2007. "The Technology of Skill Formation," IZA Discussion Papers 2550, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  3. Tapan Mitra & Luigi Montrucchio & Fabio Privileggi, 2003. "The nature of the steady state in models of optimal growth under uncertainty," Economic Theory, Springer, vol. 23(1), pages 39-71, December. [Downloadable!] (restricted)
    Other versions:
  4. Mitra, Tapan & Privileggi, Fabio, 2005. "Cantor Type Attractors in Stochastic Growth Models," P.O.L.I.S. department's Working Papers 43, Department of Public Policy and Public Choice - POLIS. [Downloadable!]
  5. 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. [Downloadable!]
  6. Barro, Robert J, 2000. " Inequality and Growth in a Panel of Countries," Journal of Economic Growth, Springer, vol. 5(1), pages 5-32, March. [Downloadable!] (restricted)
  7. Flavio Cunha & James J. Heckman, 2009. "The Economics and Psychology of Inequality and Human Development," Working Papers 200934, Geary Institute, University College Dublin. [Downloadable!]
  8. Rajiv Sethi & Rohini Somanathan, 2004. "Inequality and Segregation," Journal of Political Economy, University of Chicago Press, vol. 112(6), pages 1296-1321, December.
    Other versions:
  9. 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. [Downloadable!]
  10. Galor, Oded & Zeira, Joseph, 1993. "Income Distribution and Macroeconomics," Review of Economic Studies, Blackwell Publishing, vol. 60(1), pages 35-52, January. [Downloadable!] (restricted)
  11. Cunha, Flavio & Heckman, James J., 2009. "The Economics and Psychology of Inequality and Human Development," IZA Discussion Papers 4001, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  12. Alesina, Alberto & Rodrik, Dani, 1994. "Distributive Politics and Economic Growth," The Quarterly Journal of Economics, MIT Press, vol. 109(2), pages 465-90, May. [Downloadable!] (restricted)
    Other versions:
  13. Mattias Lundberg & Lyn Squire, 2003. "The simultaneous evolution of growth and inequality," Economic Journal, Royal Economic Society, vol. 113(487), pages 326-344, 04. [Downloadable!] (restricted)
  14. Benhabib, Jess & Spiegel, Mark, 1997. "Cross-Country Growth Regressions," Working Papers 97-20, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
  15. 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. [Downloadable!] (restricted)
  16. 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. [Downloadable!] (restricted)
  17. Dilip Mookherjee & Debraj Ray, 2003. "Persistent Inequality," Review of Economic Studies, Blackwell Publishing, vol. 70(2), pages 369-393, 04. [Downloadable!] (restricted)
    Other versions:
  18. Dilip Mookherjee & Debraj Ray, 2002. "Is Equality Stable?," Boston University - Department of Economics - The Institute for Economic Development Working Papers Series dp-121, Boston University - Department of Economics. [Downloadable!]
    Other versions:
  19. Mitra, Tapan & Privileggi, Fabio, 2009. "On Lipschitz continuity of the iterated function system in a stochastic optimal growth model," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 185-198, January. [Downloadable!] (restricted)
  20. Alberto F. Alesina & Guido Cozzi & Noemi Mantovan, 2009. "The Evolution of Ideology, Fairness and Redistribution," NBER Working Papers 15587, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  21. Piketty, Thomas, 1997. "The Dynamics of the Wealth Distribution and the Interest Rate with Credit Rationing," Review of Economic Studies, Blackwell Publishing, vol. 64(2), pages 173-89, April. [Downloadable!] (restricted)
  22. Benhabib, Jess & Rustichini, Aldo, 1996. " Social Conflict and Growth," Journal of Economic Growth, Springer, vol. 1(1), pages 125-42, March.
  23. Alberto F. Alesina & Paola Giuliano, 2009. "Preferences for Redistribution," NBER Working Papers 14825, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  24. Daron Acemoglu, 2002. "Technical Change, Inequality, and the Labor Market," Journal of Economic Literature, American Economic Association, vol. 40(1), pages 7-72, March. [Downloadable!] (restricted)
    Other versions:
  25. Esteban, Joan & Ray, Debraj, 1994. "On the Measurement of Polarization," Econometrica, Econometric Society, vol. 62(4), pages 819-51, July. [Downloadable!] (restricted)
    Other versions:
  26. 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. [Downloadable!] (restricted)
  27. Philippe Aghion & Eve Caroli & Cecilia Garcia-Penalosa, 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. [Downloadable!] (restricted)
    Other versions:
  28. Benabou, Roland, 1996. "Equity and Efficiency in Human Capital Investment: The Local Connection," Review of Economic Studies, Blackwell Publishing, vol. 63(2), pages 237-64, April. [Downloadable!] (restricted)
  29. Robert J. Barro, 1999. "Inequality, Growth, and Investment," NBER Working Papers 7038, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  30. Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-58, May.
  31. James J. Heckman, 2008. "Schools, Skills, And Synapses," Economic Inquiry, Western Economic Association International, vol. 46(3), pages 289-324, 07. [Downloadable!] (restricted)
    Other versions:
  32. Davide La Torre & Herb Kunze & Ed Vrscay, 2006. "Inverse problems for random differential equations using the collage method for random contraction mappings," UNIMI - Research Papers in Economics, Business, and Statistics 1036, Universitá degli Studi di Milano. [Downloadable!]
  33. Dilip Mookherjee & debraj Ray, 2005. "Occupational Diversity and Endogenous Inequality," Boston University - Department of Economics - The Institute for Economic Development Working Papers Series dp-142, Boston University - Department of Economics. [Downloadable!]
    Other versions:
  34. Loury, Glenn C, 1981. "Intergenerational Transfers and the Distribution of Earnings," Econometrica, Econometric Society, vol. 49(4), pages 843-67, June. [Downloadable!] (restricted)
  35. 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. [Downloadable!] (restricted)
    Other versions:
  36. Xiaobo Zhang & Ravi Kanbur, 2001. "What difference do polarisation measures make? an application to China," The Journal of Development Studies, Taylor and Francis Journals, vol. 37(3), pages 85-98, January. [Downloadable!] (restricted)
  37. Perotti, Roberto, 1996. " Growth, Income Distribution, and Democracy: What the Data Say," Journal of Economic Growth, Springer, vol. 1(2), pages 149-87, June.
  38. Alesina, Alberto & La Ferrara, Eliana, 2005. "Preferences for redistribution in the land of opportunities," Journal of Public Economics, Elsevier, vol. 89(5-6), pages 897-931, June. [Downloadable!] (restricted)
    Other versions:
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