财富分配模型研究
Study of a model for the distribution of wealth
摘要：
最近，我们中的一位（RLR）提出了一个方程，用于描述经济主体群体中财富分配的演变，这些经济主体以恒定的“货币”总量进行二元交易。这个方程的形式是财富分布的迭代非线性映射。平衡分布是已知的，并且具有相当简单的形式。如果这个分布是这样的，在某些时候，分布的更高动量存在，人们可以准确地找到它们的演化规律。交换定律的一个看似简单的扩展也给出了高阶动量的显式迭代公式，但与原来的迭代有很大的不同，因为高阶动量无限增长。这提供了一个量化模型，其中财富的分布，即富人和穷人之间的差异，往往随着时间的推移而增加。
英文摘要：
An equation for the evolution of the distribution of wealth in a population of economic agents making binary transactions with a constant total amount of "money" has recently been proposed by one of us (RLR). This equation takes the form of an iterated nonlinear map of the distribution of wealth. The equilibrium distribution is known and takes a rather simple form. If this distribution is such that, at some time, the higher momenta of the distribution exist, one can find exactly their law of evolution. A seemingly simple extension of the laws of exchange yields also explicit iteration formulae for the higher momenta, but with a major difference with the original iteration because high order momenta grow indefinitely. This provides a quantitative model where the spreading of wealth, namely the difference between the rich and the poor, tends to increase with time.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
