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Production functions with this property include
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* the ** Cobb-Douglas** function $F(K, L) = A K^{\alpha}
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- L^{1-\alpha}$ with $0 \leq \alpha \leq 1$. Here, $\alpha$ is the output elasticity of capital.
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+ L^{1-\alpha}$ with $0 \leq \alpha \leq 1$.
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* the ** CES** function $F(K, L) = \left\{ a K^\rho + b L^\rho \right\} ^{1/\rho}$
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with $a, b, \rho > 0$.
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- Here, $\rho$ is a parameter that determines the elasticity of substitution between capital and labor.
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+ Here, $\alpha$ is the output elasticity of capital and $\ rho$ is a parameter that determines the elasticity of substitution between capital and labor.
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We assume a closed economy, so aggregate domestic investment equals aggregate domestic
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