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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.