Almost sure convergence to zero in stochastic growth models

Almost sure convergence to zero in stochastic growth models
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随机增长模型几乎肯定收敛于零

DOI:
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发表时间:
2006
期刊:
影响因子:
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通讯作者:
Takashi Kamihigashi
Takashi Kamihigashi
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作者:
Takashi Kamihigashi

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本文考虑了随机单部门增长模型中常用的资源约束。电击不一定要有身份证明。证明了在一定条件下,任何可行路径几乎必然以指数速度收敛到零。在乘性冲击的情况下,该条件意味着冲击具有足够的波动性。它们的波动性越大,收敛越快,资本的最大平均乘积越小。
This paper considers the resource constraint commonly used in stochastic one-sector growth models. Shocks are not required to be i.i.d. It is shown that any feasible path converges to zero exponentially fast almost surely under a certain condition. In the case of multiplicative shocks, the condition means that the shocks are sufficiently volatile. Convergence is faster the larger their volatility, and the smaller the maximum average product of capital.
DOI: --
发表时间: 2006
期刊: Journal of Mathematical Economics Vol.42(1)
影响因子: --
作者:
Kazuo Nishimura;Ryszard Rudnicki;John Stachurski
通讯作者: John Stachurski