Stochastic effects in a discretized kinetic model of economic exchange

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• 作者：M.L. Bertotti^a ; ^{marialetizia.bertotti@unibz.it} ; A.K. Chattopadhyay^b ; ^{a.k.chattopadhyay@aston.ac.uk} ; G. Modanese^a ; ^{giovanni.modanese@unibz.it}
• 关键词：Discretized Boltzmann equation ; Stochastic differential equations ; Income distributions ; Economic inequality ; Social mobility
• 刊名：Physica A: Statistical Mechanics and its Applications
• 出版年：2017
• 出版时间：1 April 2017
• 年：2017
• 卷：471
• 期：Complete
• 页码：724-732
• 全文大小：449 K
• 卷排序：471

文摘

We introduce random fluctuations in a discrete kinetic model for economic exchanges. We explore the effect of these stochastic uncertainties on wealth distribution. In the case of non-conserved total wealth we find positive correlation between Gini index and total wealth. In the case of conserved total wealth we find negative correlation between Gini index and economic mobility. The numerical results we obtain are in accordance with empirical evidence.