Quasi-Periodic Motions in a Two-Class Economy with Technology Choice: An Extreme Case
Quasi-Periodic Motions in a Two-Class Economy with Technology Choice: An Extreme Case
复制标题
具有技术选择的两级经济中的准周期运动：一个极端案例
DOI：
10.1007/s11071-022-07643-9
复制
发表时间：
2022
影响因子：
5.6
通讯作者：
and Masanori Yokoo
中科院分区：
文献类型：
--
作者：
Takao Asano;Akihisa Shibata;and Masanori Yokoo
本文构建了一个简单的世代重叠（OLG）模型，其中包含工人阶级和资本家阶级以及两种生产技术。属于工人阶级的行为者的行为与标准的Diamond（Am Econ Rev 55：1126-1150，1965）型OLG模型基本相同，而属于资本家阶级的行为者面对两种可用技术，选择资本回报率高的技术，将资产留给下一代，而不提供劳动力。使用有关的圆映射在动力系统理论的技术，我们表明，在一个极端的情况下，其中一个技术是线性的，另一个是Leontief型，经济表现出有界的，非周期性的，但非混沌运动的参数值的一个大集合。我们给出了模型的旋转数和绝对连续不变概率测度的显式公式。
This paper constructs a simple overlapping generations (OLG) model with the working and capitalist classes and two types of production technologies. The behavior of agents belonging to the working class is basically the same as that in the standard Diamond (Am Econ Rev 55:1126–1150, 1965) type OLG model, whereas agents belonging to the capitalist class face two available technologies, select the one with a higher return on capital, and bequeath their assets to the next generation without supplying labor. Using techniques concerning the circle map in dynamical systems theory, we show that in an extreme case in which one technology is linear and the other is of the Leontief type, the economy exhibits bounded, non-periodic but non-chaotic motions for a large set of parameter values. We provide explicit formulas for the rotation number and the absolutely continuous invariant probability measure of the model.