A note on concavity, homogeneity and non-Increasing returns to scale

This paper provides a simple proof of the result that if a production function is homogeneous, displays non-increasing returns to scale, is increasing and quasiconcave, then it is concave. If the function is strictly quasiconcave or one-to-one, homogeneous, displays decreasing returns to scale and if either it is increasing or if zero is in its domain, then it is strictly concave. Finally it is shown that we cannot dispense with these assumptions.

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Year of publication:	2011
Authors:	Prada, Juan David
Published in:	Economics Bulletin. - AccessEcon, ISSN 1545-2921. - Vol. 31.2011, 1, p. 100-105
Publisher:	AccessEcon
Subject:	Homogeneity \| Concavity \| Non-Increasing Returns to Scale and Production Function

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Extent:	application/pdf
Type of publication:	Article
Language:	English
Classification:	C6 - Mathematical Methods and Programming ; D2 - Production and Organizations
Source:	RePEc - Research Papers in Economics

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