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Almost “very strong” multilane turnpike effect in a non‑stationary Gale economy with a temporary von Neumann equilibrium and price constraints
Economics and Business Review ( IF 1.2 ) Pub Date : 2020-01-01 , DOI: 10.18559/ebr.2020.2.5
Emil Panek

Abstract Mathematical models of economic dynamics and growth are usually expressed in terms of differential equations/inclusions (in the case of continuous time) or difference equations/inclusions (if discrete time is assumed).3 This class of models includes von Neumann-Leontief-Gale type dynamic input-output models to which the paper refers. The paper focuses on the turnpike stability of optimal growth processes in a Gale non-stationary economy with discrete time in the neighbourhood of von Neumann dynamic equilibrium states (so-called growth equilibrium). The paper refers to Panek (2019, 2020) and shows an intermediate result between the strong and very strong turnpike theorem in the non-stationary Gale economy with changing technology assuming that the prices of temporary equilibrium in such an economy (so-called von Neumann prices) do not change rapidly. The aim of the paper is to bring mathematical proof that the introduction of these assumptions making the model more realistic does not change its asymptotic (turnpike-like) properties.

中文翻译:

在具有暂时冯·诺依曼均衡和价格约束的非平稳大风经济中,几乎“非常强”的多车道收费效应

摘要经济动力和增长的数学模型通常用微分方程/包含(在连续时间的情况下)或差分方程/包含(如果假设是离散时间)表示。3这类模型包括冯·诺伊曼-莱昂蒂夫-本文所参考的大风型动态输入输出模型。本文着重研究在冯·诺伊曼动态平衡态(所谓的增长平衡)附近具有离散时间的大风非平稳经济中最优增长过程的收费区间稳定性。本文指的是Panek(2019,(2020年),并显示出非平稳风向型经济中强螺柱定理与强螺柱定理之间的中间结果,并且随着技术的不断变化,假定这种经济中的临时均衡价格(所谓的冯·诺依曼价格)不会快速变化。本文的目的是带来数学证明,这些假设的引入使模型更加逼真,并且不会改变其渐近(类似于收费尖峰)的特性。
更新日期:2020-01-01
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