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CONSTANT-ELASTICITY-OF-SUBSTITUTION PRODUCTION FUNCTION

Hideki Nakamura and Masakatsu Nakamura

Macroeconomic Dynamics, 2008, vol. 12, issue 5, 694-701

Abstract: We consider endogenous changes of inputs from labor to capital in the production of intermediate goods, i.e., a form of mechanization. We derive complementary relationships between capital accumulation and mechanization by assuming a Cobb–Douglas production function for the production of final goods from intermediate goods. A constant-elasticity-of-substitution production function in which the elasticity of substitution exceeds unity can be endogenously derived as the envelope of Cobb–Douglas production functions when the efficiency of inputs is assumed in a specific form. The difficulty of mechanization represents the elasticity of substitution.

Date: 2008
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