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Inada conditions asymptotically transform production function into the Cobb–Douglas

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  • Ozkaya, Ata

Abstract

This paper demonstrates that the result proposed in Barelli and Pessôa (2003) yields contradictions, making their main conclusion unproven and inconsistent. First, we correct the error of the authors. Second, we prove that imposing the Inada conditions on a production function inevitably transforms that function into the Cobb–Douglas production function whose parameters are endogenously determined by the original production function. Accordingly, we demonstrate that our results invalidate the interpretation of Litina and Palivos (2008), and we correct the erroneous conclusion of Litina and Palivos (2008).

Suggested Citation

  • Ozkaya, Ata, 2021. "Inada conditions asymptotically transform production function into the Cobb–Douglas," Economics Letters, Elsevier, vol. 201(C).
    • Handle: RePEc:eee:ecolet:v:201:y:2021:i:c:s016517652100063x
    DOI: 10.1016/j.econlet.2021.109786
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    References listed on IDEAS

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    1. Litina, Anastasia & Palivos, Theodore, 2008. "Do Inada conditions imply that production function must be asymptotically Cobb-Douglas? A comment," Economics Letters, Elsevier, vol. 99(3), pages 498-499, June.
    2. Barelli, Paulo & de Abreu Pessoa, Samuel, 2003. "Inada conditions imply that production function must be asymptotically Cobb-Douglas," Economics Letters, Elsevier, vol. 81(3), pages 361-363, December.
    3. Olivier Grandville, 1997. "Curvature and the elasticity of substitution: Straightening it out," Journal of Economics, Springer, vol. 66(1), pages 23-34, February.
    4. de la Fonteijne, Marcel R., 2015. "Do Inada Conditions imply Cobb-Douglas Asymptotic Behavior or only a Elasticity of Substitution equal to one," MPRA Paper 82304, University Library of Munich, Germany.
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    Cited by:

    1. Dzhumashev, Ratbek, 2024. "The role of physical constraints on production," Ecological Economics, Elsevier, vol. 216(C).

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    More about this item

    Keywords

    Inada conditions; Production function; Elasticity of substitution;
    All these keywords.

    JEL classification:

    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production

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