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摘要翻译：
我们证明了一个由多个主体组成的经济系统会产生一个以条件PDF的多个标度律形式表示的均衡分布，这些标度律足以刻画概率分布。本文以100万家日本企业的销售额和劳动力为例，证明了双标度律的存在性。对标度律的理论研究提出了销售与劳动的对数正态联合分布和劳动生产率的标度律，并得到了实证验证。这个框架提供了用少量的定标指数来描述均衡分布的特征，这些指数决定了宏观数量，从而为与统计物理学等价奠定了基础，连接了微观经济学和宏观经济学。
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英文标题：
《Micro-Macro Relation of Production - The Double Scaling Law for
Statistical Physics of Economy -》
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作者：
Hideaki Aoyama, Yoshi Fujiwara, and Mauro Gallegati
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最新提交年份：
2010
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分类信息：
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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一级分类：Statistics 统计学
二级分类：Applications 应用程序
分类描述：Biology, Education, Epidemiology, Engineering, Environmental Sciences, Medical, Physical Sciences, Quality Control, Social Sciences
生物学，教育学，流行病学，工程学，环境科学，医学，物理科学，质量控制，社会科学
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英文摘要：
We show that an economic system populated by multiple agents generates an equilibrium distribution in the form of multiple scaling laws of conditional PDFs, which are sufficient for characterizing the probability distribution. The existence of the double scaling law is demonstrated empirically for the sales and the labor of one million Japanese firms. Theoretical study of the scaling laws suggests lognormal joint distributions of sales and labor and a scaling law for labor productivity, both of which are confirmed empirically. This framework offers characterization of the equilibrium distribution with a small number of scaling indices, which determine macroscopic quantities, thus setting the stage for an equivalence with statistical physics, bridging micro- and macro-economics.
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PDF链接：
https://arxiv.org/pdf/1003.2321
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