论某种凯恩斯-梅茨勒-古德温货币增长模型的稳定性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-04-01 DOI:10.18559/ebr.2023.1.2

Damian Sołtysiak

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引用次数: 0

摘要

本文有三个目的。第一个目标是开发凯恩斯-梅茨勒-古德温(KMG)货币增长模型的改进版本，该模型最初由卡尔·基亚雷拉、彼得·弗拉舍尔和威利·塞姆勒在一系列出版物中提出和分析。模型的改进是通过修改一些方程来确保它们更恰当地反映实际的宏观经济依赖关系。修改后的方程描述了最终需求预期、生产决策的决定因素、固定资本积累、税收、政府预算赤字和货币需求。第二个目标是将模型转换为由七个非线性微分方程描述的密集形式，并确定其独特的稳态，该稳态显示了平衡增长路径上变量之间的比例。第三个最终目标是给出一个数学证明，证明KMG模型的新改进版本是局部渐近稳定的。

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On the stability of a certain Keynes-Metzler-Goodwin monetary growth model

Abstract The article has three aims. The first aim is to develop an improved version of the Keynes-Metzler-Goodwin (the KMG) monetary growth model originally presented and analysed in a series of publications by Carl Chiarella, Peter Flaschel and Willi Semler. The improvement of the model is obtained by modifying some of its equations in a way which ensures that they reflect real macroeconomic dependencies more properly. The equations that have been modified describe final demand expectations, determinants of production decisions, fixed capital accumulation, tax revenues, government budget deficit and money demand. The second aim is to transform the model into an intensive form described by seven non-linear differential equations and determine its unique steady state which shows proportions between variables on the balanced growth path. The third ultimate aim is to present a mathematical proof that the new improved version of the KMG model is locally asymptotically stable.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.