Asymptotic methods for aggregate growth models

Asymptotic methods for aggregate growth models
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DOI:
10.1016/s0165-1889(97)00015-8
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发表时间:
1997-06-01
影响因子:
1.9
通讯作者:
Guu, SM
Guu, SM
中科院分区:
经济学3区
文献类型:
--
作者:
Judd, KL;Guu, SM

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我们使用扰动方法来计算简单的连续和离散时间的总增长模型中的最优政策函数。我们证明,计算的第k度泰勒展开的政策功能周围的稳定状态涉及到解决一个二次方程和k - 1线性方程。我们还计算Pade展开,并表明泰勒和Pade展开可以提供优秀的解决方案远离稳态。
We use perturbation methods to compute optimal policy functions in simple continuous-and discrete-time aggregate growth models. We demonstrate that computing the kth degree Taylor expansion of the policy function around the steady state involves solving one quadratic equation and k - 1 linear equations. We also compute Pade expansions, and show that both Taylor and Pade expansions can provide excellent solutions far from the steady state.