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arXiv 2012.04506econ.GNq-fin.ECq-fin.RM
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作为集体风险波动的经济周期

Business Cycles as Collective Risk Fluctuations

Victor Olkhov

摘要:

我们建议对单个风险使用R的连续数值风险等级[0,1],或者对n个风险使用Rn中的单位立方作为经济域。我们认为经济主体的风险评级是他们在经济领域的坐标。代理人的经济活动,经济或其他因素改变代理人的风险评级,并导致代理人在经济领域的运动。在小体积的经济域中,个体代理的变量和交易的集合建立了连续的经济媒介近似,该近似将经济域中的集体变量、交易及其流动描述为风险坐标的函数。任何经济变量A(t,x)定义平均风险XA(t)为经济变量A(t,x)加权的风险。有界经济域中经济变量的集体流动从安全区波动到风险区,然后再波动回来。这些流动的波动引起宏观经济变量A(t)及其经济域中的平均风险XA(t)的时间振荡,并且是任何商业和信贷周期的起源。我们推导出描述集体变量、交易及其在经济领域中的流动的演化的方程。作为说明,我们提出了简单的自洽方程的供求周期,描述了供应,需求和他们的平均风险的波动。

英文摘要:

We suggest use continuous numerical risk grades [0,1] of R for a single risk or the unit cube in Rn for n risks as the economic domain. We consider risk ratings of economic agents as their coordinates in the economic domain. Economic activity of agents, economic or other factors change agents risk ratings and that cause motion of agents in the economic domain. Aggregations of variables and transactions of individual agents in small volume of economic domain establish the continuous economic media approximation that describes collective variables, transactions and their flows in the economic domain as functions of risk coordinates. Any economic variable A(t,x) defines mean risk XA(t) as risk weighted by economic variable A(t,x). Collective flows of economic variables in bounded economic domain fluctuate from secure to risky area and back. These fluctuations of flows cause time oscillations of macroeconomic variables A(t) and their mean risks XA(t) in economic domain and are the origin of any business and credit cycles. We derive equations that describe evolution of collective variables, transactions and their flows in the economic domain. As illustration we present simple self-consistent equations of supply-demand cycles that describe fluctuations of supply, demand and their mean risks.

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