空间AK增长模型的收敛性
On Convergence in the Spatial AK Growth Models
摘要：
最近的经济理论研究试图在一个统一的框架内研究最优经济增长和经济活动的空间位置。到目前为止，这一文献的关键结果-渐近收敛，即使在资本收益递减的情况下-依赖于对社会规划者目标的特定假设。我们表明，这一结果并不依赖于这样的限制性假设，并获得更广泛的目标函数类。我们还推广了这一发现，允许随时间变化的技术参数，并提供了一个明确的解决方案的动态的空间分布的资本存量。
英文摘要：
Recent research in economic theory attempts to study optimal economic growth and spatial location of economic activity in a unified framework. So far, the key result of this literature - asymptotic convergence, even in the absence of decreasing returns to capital - relies on specific assumptions about the objective of the social planner. We show that this result does not depend on such restrictive assumptions and obtains for a broader class of objective functions. We also generalize this finding, allowing for the time-varying technology parameter, and provide an explicit solution for the dynamics of spatial distribution of the capital stock.
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