Keynes-Ramsey Rule and its Implications in a Two-Sector Optimal Growth Model
Keynes-Ramsey Rule and its Implications in a Two-Sector Optimal Growth Model
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凯恩斯-拉姆齐规则及其在两部门最优增长模型中的含义
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
H. Hashimoto
中科院分区：
文献类型：
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作者：
H. Kataoka;H. Hashimoto
在生产外部性和相关函数同质性条件下，我们将拉姆齐的极乐模型扩展为一个贴现的两部门模型。通过对除时间外的所有变量进行点变换，我们可以很容易地证明，变换后的两部门模型具有一个不变性方程，该方程被认为是他的bliss模型中著名的Ramsey规则的扩展形式。然后，我们通过在一些温和条件下广泛使用不变性方程，推导出我们的两部门模型的显式解。
We expand Ramsey's bliss model into a discounted two-sector one under production externalities and homogeneity of relevant functions. By adopting a point transformation which transforms all of the variables except time, we can readily demonstrate that the transformed two-sector model has an invariance equation which is considered as an extended form of the well-known Ramsey rule in his bliss model. We then derive an explicit solution to our two-sector model by the extensive use of the invariance equation under some mild conditions.