In this article, we discuss a dynamical stochastic model that represents the time evolution of income distribution of a population, where the dynamics develops from an interplay of multiple economic exchanges in the presence of multiplicative noise. The model remit stretches beyond the conventional framework of a Langevin-type kinetic equation in that our model dynamics is self-consistently constrained by dynamical conservation laws emerging from population and wealth conservation. This model is numerically solved and analysed to evaluate the inequality of income in correlation to other relevant dynamical parameters like the mobility M and the total income μ . Inequality is quantified by the Gini index G . In particular, correlations between any two of the mobility index M and/or the total income μ with the Gini index G are investigated and compared with the analogous quantities resulting from an additive noise model.

中文翻译：

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具有乘性噪声的经济不平等和流动性随机模型

在本文中，我们讨论了一个动态随机模型，该模型代表了人口收入分配的时间演变，其中动态是在存在乘法噪声的情况下从多种经济交流的相互作用中发展而来的。该模型的范围超出了朗之万型动力学方程的传统框架，因为我们的模型动力学始终受到来自人口和财富守恒的动力学守恒定律的约束。对该模型进行数值求解和分析，以评估与其他相关动态参数（如流动性 M 和总收入 μ ）相关的收入不平等。不平等由基尼指数 G 量化。特别是，