A note on 2-input neoclassical production functions - Archive ouverte HAL
Article Dans Une Revue Journal of Mathematical Economics Année : 2016

A note on 2-input neoclassical production functions

Mehdi Senouci

Résumé

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.
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Dates et versions

hal-01383290 , version 1 (18-10-2016)

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Gwenaël Moysan, Mehdi Senouci. A note on 2-input neoclassical production functions. Journal of Mathematical Economics, 2016, 67, pp.80-86. ⟨10.1016/j.jmateco.2016.09.011⟩. ⟨hal-01383290⟩
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