摘要翻译：
我们在这里提出了一个一般的框架，用非线性微分方程系统表示，适用于封闭（交易市场）社会中的税收和再分配模型。这一框架可以描述人口收入分配的演变，并解释基于个人相互作用知识的集体特征的出现。通过选择不同的框架参数，构建不同的模型，并对模型的长时间行为进行了研究。发现了渐近平稳分布，它具有与经验分布相似的性质。特别地，它们表现出Pareto型幂律尾，其Lorenz曲线和Gini指数与现实世界中的一些曲线和Gini指数是一致的。
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英文标题：
《From microscopic taxation and redistribution models to macroscopic
  income distributions》
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作者：
Maria Letizia Bertotti and Giovanni Modanese
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最新提交年份：
2011
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分类信息：

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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一级分类：Quantitative Finance        数量金融学
二级分类：General Finance        一般财务
分类描述：Development of general quantitative methodologies with applications in finance
通用定量方法的发展及其在金融中的应用
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英文摘要：
  We present here a general framework, expressed by a system of nonlinear differential equations, suitable for the modelling of taxation and redistribution in a closed (trading market) society. This framework allows to describe the evolution of the income distribution over the population and to explain the emergence of collective features based on the knowledge of the individual interactions. By making different choices of the framework parameters, we construct different models, whose long-time behavior is then investigated. Asymptotic stationary distributions are found, which enjoy similar properties as those observed in empirical distributions. In particular, they exhibit power law tails of Pareto type and their Lorenz curves and Gini indices are consistent with some real world ones.
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PDF链接：
https://arxiv.org/pdf/1109.0606