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arXiv 1112.2168q-fin.GN
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封闭保守经济中的企业动态:就业规模分布模型及相关统计

Firm dynamics in a closed, conserved economy: A model of size distribution of employment and related statistics

Anindya S. Chakrabarti

摘要:

我们讨论企业规模的分布问题。为此,我们提出了一个模型的公司在一个封闭的,保守的经济人口与零情报代理人不断从一个公司到另一个。然后,我们分析了从模型中获得的尺寸分布和相关统计。我们的最终目标是再现从公司的面板研究中获得的众所周知的统计特征,即,企业规模的幂律(收入和/或就业)、增长率的拉普拉斯分布以及增长率的标准差随企业规模缓慢下降。首先,我们表明,该模型推广了通常的动力学交换模型与二元相互作用之间的相互作用的任意数量的代理。当交互代理的数量是系统本身的顺序时,可以解耦模型。我们提供了一些精确的结果的分布。我们的模型很容易再现幂律。生长速率的波动随着尺寸的增加而下降,遵循幂律(指数为1,而数据表明指数约为1/6)。然而,该模型中的企业规模差异的分布具有拉普拉斯分布,而实际数据表明,日志大小的差异具有相同的分布。

英文摘要:

We address the issue of the distribution of firm size. To this end we propose a model of firms in a closed, conserved economy populated with zero-intelligence agents who continuously move from one firm to another. We then analyze the size distribution and related statistics obtained from the model. Our ultimate goal is to reproduce the well known statistical features obtained from the panel study of the firms i.e., the power law in size (in terms of income and/or employment), the Laplace distribution in the growth rates and the slowly declining standard deviation of the growth rates conditional on the firm size. First, we show that the model generalizes the usual kinetic exchange models with binary interaction to interactions between an arbitrary number of agents. When the number of interacting agents is in the order of the system itself, it is possible to decouple the model. We provide some exact results on the distributions. Our model easily reproduces the power law. The fluctuations in the growth rate falls with increasing size following a power law (with an exponent 1 whereas the data suggests that the exponent is around 1/6). However, the distribution of the difference of the firm-size in this model has Laplace distribution whereas the real data suggests that the difference of the log sizes has the same distribution.

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