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  • 标题:The fractal nature of inequality in a fast growing world: new version
  • 本地全文:下载
  • 作者:Guido Cozzi ; Fabio Privileggi
  • 期刊名称:Departmental Discussion Papers / University of Glasgow, Department of Economics
  • 出版年度:2009
  • 卷号:1
  • 出版社:University of Glasgow, Department of Economics
  • 摘要: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.
  • 关键词:Wealth Inequality, Growth, Fractal, Polarization, Pulverization.
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