英文标题：
《Economic inequality and mobility for stochastic models with
multiplicative noise》
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作者：
Maria Letizia Bertotti, Amit K Chattopadhyay, Giovanni Modanese
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最新提交年份：
2017
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英文摘要：
In this article, we discuss a dynamical stochastic model that represents the time evolution of income distribution of a population, where the dynamics develop 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 analyzed to interpret the inequality of income as a function of relevant dynamical parameters like the {\\it mobility} $M$ and the {\\it total income} $\\mu$. In our model, inequality is quantified by the {\\it Gini index} $G$. In particular, correlations between any two of the mobility index $M$ and/or the total income $\\mu$ with the Gini index $G$ are investigated and compared with the analogous correlations resulting from an equivalent additive noise model. Our findings highlight the importance of a multiplicative noise based economic modeling structure in the analysis of inequality. The model also depicts the nature of correlation between mobility and total income of a population from the perspective of inequality measure.
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中文摘要：
在这篇文章中，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化，其中动态是在存在乘性噪声的情况下，由多种经济交换的相互作用发展而来的。模型范围超越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自洽地受到人口和财富守恒产生的动力学守恒定律的约束。通过对该模型的数值求解和分析，将收入不平等解释为{流动性}M$和{总收入}mu$等相关动力学参数的函数。在我们的模型中，不平等通过{\\it基尼指数}$G$来量化。特别是，调查了流动性指数M$和/或总收入$\\ mu$与基尼指数G$之间的相关性，并与等效加性噪声模型得出的类似相关性进行了比较。我们的研究结果强调了基于乘性噪声的经济建模结构在不平等分析中的重要性。该模型还从不平等测度的角度描述了人口流动性与总收入之间的相关性。
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分类信息：

一级分类：Quantitative Finance 数量金融学
二级分类：Economics 经济学
分类描述：q-fin.EC is an alias for econ.GN. Economics, including micro and macro economics, international economics, theory of the firm, labor economics, and other economic topics outside finance
q-fin.ec是econ.gn的别名。经济学，包括微观和宏观经济学、国际经济学、企业理论、劳动经济学和其他金融以外的经济专题
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Physics and Society 物理学与社会
分类描述：Structure, dynamics and collective behavior of societies and groups (human or otherwise). Quantitative analysis of social networks and other complex networks. Physics and engineering of infrastructure and systems of broad societal impact (e.g., energy grids, transportation networks).
社会和团体（人类或其他）的结构、动态和集体行为。社会网络和其他复杂网络的定量分析。具有广泛社会影响的基础设施和系统（如能源网、运输网络）的物理和工程。
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