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Piketty, T. (2014) Capital in The Twenty-First Century. Translated by Arthur Goldhammer, The Belknap Press of Harvard University Press, Cambridge, MA.

has been cited by the following article:

• TITLE: Inequality of Realization of a Stochastic Dynamics Based on the Erdös Discrepancy Problem

  AUTHORS: Hiroyuki Kato

  KEYWORDS: Erdös Discrepancy Problem, Arithmetic Progression, Inequality, Economic Dynamics

  JOURNAL NAME: Applied Mathematics, Vol.10 No.10, October 12, 2019

  ABSTRACT: This paper proposes a stochastic dynamics model in which people who are endowed with different discount factors chose to buy the capital stock periodically with different periodicities and are exposed to randomness at arithmetic progression times. We prove that the realization of a stochastic equilibrium may render to the people quite unequal benefits. Its proof is based on Erdös Discrepancy Problem that an arithmetic progression sum of any sign sequence goes to infinity, which is recently solved by Terence Tao [1]. The result in this paper implies that in some cases, the sources of inequality come from pure luck.