DELAY DYNAMICS IN A CLASSICAL IS-LM MODEL WITH TAX COLLECTIONS

Matsumoto Akio; Szidarovszky Ferenc

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DELAY DYNAMICS IN A CLASSICAL IS-LM MODEL WITH TAX COLLECTIONS

机译：具有税收征集的经典IS-LM模型中的时滞动力学

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An IS-LM model is developed for the dynamics of income, interest rate and money stock with delay in tax revenue. The main aim is to show that the delay matters in macro dynamics. Two different delays, fixed time delays and continuously distributed time delays, are considered explicitly and described by delay-differential equations and integro-differential equations, respectively. Conditions for the local stability of the two models are derived and compared. The destabilizing effects caused by the delay are numerically examined. Appearance of wide spectrum of dynamics ranging from simple cyclic oscillations to complex dynamics is described through Hopf bifurctions.

机译：建立了IS-LM模型，以实现收入，利率和货币存量的动态变化，并减少税收收入。主要目的是表明延迟在宏观动力学中很重要。明确地考虑了两个不同的延迟，即固定时间延迟和连续分布的时间延迟，并分别由延迟微分方程和积分微分方程描述。推导并比较了两个模型的局部稳定性条件。数值分析了由延迟引起的不稳定影响。从霍普夫分叉描述了从简单循环振荡到复杂动力学的广泛动力学现象。

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来源
《Metroeconomica》 |2016年第4期|667-697|共31页
作者
Matsumoto Akio; Szidarovszky Ferenc;
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Chuo Univ, Dept Econ, Int Ctr further Dev Dynam Econ Res, 742-1 Higashi Nakano, Hachioji, Tokyo 1920393, Japan;

Univ Pecs, Dept Appl Math, Ifusag U 6, H-7624 Pecs, Hungary;

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DELAY DYNAMICS IN A CLASSICAL IS-LM MODEL WITH TAX COLLECTIONS

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