[宏观经济指标] 关于索罗模型的一个问题求解急 [推广有奖]

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luosangum 发表于 2014-9-17 15:54:02 |只看作者 |坛友微信交流群|倒序 |AI写论文

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Consider the continuous time Solow growth model with the following aggregate productionfunction
[draw]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
where Z is land. The supply of land is fixed. Assume that α + β < 1, capital depreciates at
rate δ, and there is an exogenous savings rate of s.

Suppose there is no population growth rate. Find the steady state capital-labor ratio
and the steady-state output level. Show that the steady-state is unique and stable.