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

Juan David Prada-Sarmiento
Authors registered in the RePEc Author Service: Juan David Prada Sarmiento ()

MPRA Paper from University Library of Munich, Germany

Abstract: 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 \mathbf{0} is in its domain, then it is strictly concave. Finally it is shown that we cannot dispense with these assumptions.

Keywords: Homogeneity; Concavity; Non-Increasing Returns to Scale; Production Function (search for similar items in EconPapers)
JEL-codes: C60 D20 D24 (search for similar items in EconPapers)
Date: 2010-09
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https://mpra.ub.uni-muenchen.de/27499/1/MPRA_paper_27499.pdf original version (application/pdf)
https://mpra.ub.uni-muenchen.de/27887/1/MPRA_paper_27887.pdf revised version (application/pdf)

Related works:
Journal Article: A note on concavity, homogeneity and non-Increasing returns to scale (2011)
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