A SUPPORT PRICE THEOREM FOR THE CONTINUOUS TIME MODEL OF CAPITAL ACCUMULATION

A SUPPORT PRICE THEOREM FOR THE CONTINUOUS TIME MODEL OF CAPITAL ACCUMULATION
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资本积累连续时间模型的支持价格定理

DOI:
10.2307/1912636
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发表时间:
1982
期刊:
影响因子:
6.1
通讯作者:
S. Takekuma
S. Takekuma
中科院分区:
经济学1区
文献类型:
--
作者:
S. Takekuma

文献摘要

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我们考虑了一个资本积累模型,证明了资本积累的最优路径存在支撑价格路径。所考虑的模型是无限水平的连续时间模型。我们的问题是所谓的不可微最优控制的凸问题。我们采用超车最优准则,证明了既支持价值函数又支持哈密顿函数的对偶价格路径的存在性。
We consider a model of capital accumulation and prove the existence of a support price path for the optimal path of capital accumulation. The considered model is a continuous time model of infinite horizon. Our problem is the so-called convex problem of optimal control without differentiability. We adopt the overtaking optimality criterion and prove the existence of a dual price path which supports the value function as well as the Hamiltonian function.