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Indeterminacy and the elasticity of substitution in one-sector models

机译:一部门模型中的不确定性和替代弹性

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摘要

This paper introduces a new production externality via factor substitution and explores its effects on generating indeterminacy in one-sector growth models. With the elasticity of substitution depends on the average level of capital intensity, indeterminacy is possible as long as the steady-state level of capital is below the normalized level of the CES production function. Given that the elasticity of factor substitution is decreasing in capital and the marginal product of capital is decreasing in terms of the elasticity, indeterminacy can occur because efficient factor substitution from capital deepening offsets the diminishing returns of capital.
机译:本文介绍了通过要素替代产生的新的生产外部性,并探讨了其对在一部门增长模型中产生不确定性的影响。由于替代的弹性取决于资本强度的平均水平,因此只要资本的稳态水平低于CES生产函数的标准化水平,不确定性就有可能出现。假设要素替代的弹性在资本中正在下降,而资本的边际产品在弹性方面正在下降,则不确定性会发生,因为来自资本深化的有效要素替代抵消了资本收益的下降。

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