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arXiv 1504.04102q-fin.GNphysics.soc-ph
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用统计物理学的概念和定理建立经济系统的平衡统计模型

The Equilibrium Statistical Model of Economic Systems using Concepts and Theorems of Statistical Physics

Zhiwu Zheng

摘要:

经济系统与非线性系统的相似之处在于其具有大量的个体和均衡的存在。本文提出了一个将均衡统计模型应用于经济系统的模型。与统计物理学相一致,我们定义了一系列概念,如经济温度、经济压力、经济潜力、财富和人口。此外,我们认为这些参数与经济学中的概念有着密切的联系。给出了均衡经济模型中的相关概念,并从先验可能性假设出发,构造了重要的定理和推论,得到了开放系统间的均衡定理、财富和人口分布定理以及相关的推论。更重要的是,我们提出了一种构造最佳态密度的方法,根据需要对宏观参数进行优化,利用变分法得到态密度的分布,这对社会的发展具有重要意义。此外,我们还以一个简单的经济系统为例进行了计算,结果表明,中产阶级占主体的经济系统能够稳定健康地发展,并解释了宏观参数分布的原因。

英文摘要:

Economic systems are similar with physic systems for their large number of individuals and the exist of equilibrium. In this paper, we present a model applying the equilibrium statistical model in economic systems. Consistent with statistical physics, we define a series of concepts, such as economic temperature, economic pressure, economic potential, wealth and population. Moreover, we suggest that these parameters show pretty close relationship with the concepts in economy. This paper presents related concepts in the equilibrium economic model and constructs significant theorems and corollaries, which is derived from the priori possibility postulate, getting theorems including the equilibrium theorem between open systems, the distribution theorem of wealth and population along with related corollaries. More importantly, we demonstrate a method constructing optimal density of states, optimizing a macroscopic parameter depending on need to get the distribution of density of states utilizing the variation method, which is significant for the development of a society. In addition, we calculate a simple economic system as an example, indicating that the system occupied mostly by the middle class could develop stably and soundly, explaining the reason for resulting distributions of macroscopic parameters.

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。

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