Learning, heterogeneity, and complexity in the New Keynesian model

Learning, heterogeneity, and complexity in the New Keynesian model
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新凯恩斯主义模型中的学习、异质性和复杂性

DOI:
10.1016/j.jebo.2019.07.014
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发表时间:
2019
影响因子:
2.2
通讯作者:
Calvert Jump R
Calvert Jump R
中科院分区:
经济学3区
文献类型:
--
作者:
Calvert Jump R

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摘要我们提出了一个新凯恩斯模型,其中一小部分n的代理人是完全理性的,和一小部分1-n的代理人是有限理性的。在推导出一个简单的简化形式后,我们证明了泰勒条件对于确定性和稳定性是足够的,无论是当完全理性主体的比例保持固定时,还是当它被允许根据强化学习而变化时。然而,这一结果依赖于缺乏持久性的货币政策规则,我们证明,泰勒条件是不充分的确定性和稳定性的利率平滑的存在。对于隐含不确定性的货币政策规则,我们通过Hopf分岔证明了极限环的存在,并通过数值模拟探索了一条通往随机性的合理途径。我们的研究结果支持更广泛的文献行为新凯恩斯主义模型,其中泰勒条件是一个有用的指导货币政策,尽管并不总是足够的确定性和/或稳定性。
Abstract We present a New Keynesian model in which a fraction n of agents are fully rational, and a fraction 1− n of agents are bounded rational. After deriving a simple reduced form, we demonstrate that the Taylor condition is sufficient for determinacy and stability, both when the proportion of fully rational agents is held fixed, and when it is allowed to vary according to reinforcement learning. However, this result relies on the absence of persistence in the monetary policy rule, and we demonstrate that the Taylor condition is not sufficient for determinacy and stability in the presence of interest rate smoothing. For monetary policy rules that imply indeterminacy, we demonstrate the existence of limit cycles via Hopf bifurcation, and explore a rational route to randomness numerically. Our results support the broader literature on behavioural New Keynesian models, in which the Taylor condition is known to be a useful guide to monetary policy, despite not always being sufficient for determinacy and/or stability.
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