A note on 2-input neoclassical production functions

Gwenaël Moysan and Mehdi Senouci
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Gwenaël Moysan: Global market solutions

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Abstract: In this short note, we show how the space of elasticity of substitution functions maps into the space of 2-input neoclassical production functions. In doing so we derive a general analytical formula for every 2-input neoclassical production function of class C2. We present a simple set of sufficient conditions for the Inada conditions to hold; and prove that the Solow model under capital-augmenting (or investment-specific) technical change is asymptotically balanced if and only if the capital share converges to a non-degenerated limit as the capital-labor ratio tends to infinity.

Keywords: Production function; Elasticity of substitution; Capital share; Labor share; Solow model (search for similar items in EconPapers)
Date: 2016-12
New Economics Papers: this item is included in nep-gro
Note: View the original document on HAL open archive server: https://hal.science/hal-01383290
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Citations: View citations in EconPapers (6)

Published in Journal of Mathematical Economics, 2016, 67, pp.80-86. ⟨10.1016/j.jmateco.2016.09.011⟩

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Journal Article: A note on 2-input neoclassical production functions (2016)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-01383290

DOI: 10.1016/j.jmateco.2016.09.011

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