摘要翻译:
本文将控制理论中的简单数学模型应用于三个非常重要的经济范式,即(a)自我调节市场中的最低工资,(b)市场对真实价值和汇率,(c)政府支出和税收水平。给出了这三种范式的解析解,并从变量分析的角度得出了一些有益的结论。这个简短的研究可以作为一个例子,说明反馈模型和稳定性分析如何应用于经济政策背景下的“证明”指导方针。
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英文标题:
《Feedback models and stability analysis of three economic paradigms》
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作者:
Harris V. Georgiou
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最新提交年份:
2013
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分类信息:
一级分类:Quantitative Finance 数量金融学
二级分类:General Finance 一般财务
分类描述:Development of general quantitative methodologies with applications in finance
通用定量方法的发展及其在金融中的应用
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一级分类:Mathematics 数学
二级分类:Dynamical Systems 动力系统
分类描述:Dynamics of differential equations and flows, mechanics, classical few-body problems, iterations, complex dynamics, delayed differential equations
微分方程和流动的动力学,力学,经典的少体问题,迭代,复杂动力学,延迟微分方程
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英文摘要:
In this paper, simple mathematical models from Control Theory are applied to three very important economic paradigms, namely (a) minimum wages in self-regulating markets, (b) market-versus-true values and currency rates, and (c) government spending and taxation levels. Analytical solutions are provided in all three paradigms and some useful conclusions are drawn in terms of variable analysis. This short study can be used as an example of how feedback models and stability analysis can be applied as a guideline of 'proofs' in the context of economic policies.
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PDF链接:
https://arxiv.org/pdf/1303.5882