Wealth redistribution in conservative linear kinetic models
Wealth redistribution in conservative linear kinetic models
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保守线性动力学模型中的财富再分配
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
G. Toscani
中科院分区：
文献类型：
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作者：
G. Toscani
我们介绍并讨论了财富分配的动力学模型，其中包括税收和均匀再分配。连续财富密度的演变遵循线性玻尔兹曼方程，其中背景密度代表外部主体对税收机制的作用。通过恢复稳定状态的解析形式，详细分析了平均财富守恒的情况。这些状态是一种称为永续性的特殊结构的收敛随机序列的概率分布。其中，吉布斯分布在完全征税和均匀再分配的情况下表现为稳定状态。
We introduce and discuss kinetic models for wealth distribution which include both taxation and uniform redistribution. The evolution of the continuous density of wealth obeys a linear Boltzmann equation where the background density represents the action of an external subject on the taxation mechanism. The case in which the mean wealth is conserved is analyzed in full details, by recovering the analytical form of the steady states. These states are probability distributions of convergent random series of a special structure, called perpetuities. Among others, Gibbs distribution appears as steady state in case of total taxation and uniform redistribution.
DOI：
10.2139/ssrn.1281404
发表时间：
2009
期刊：
Public Economics: Taxation
影响因子：
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作者：
B. Düring;D. Matthes;G. Toscani
通讯作者：
G. Toscani