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Juan David Prada
''A note on concavity, homogeneity and non-Increasing returns to scale''
( 2011, Vol. 31 No.1 )
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.
Keywords: Homogeneity, Concavity, Non-Increasing Returns to Scale and Production Function
JEL: C6 - Mathematical Methods and Programming: General
D2 - Production and Organizations: General
Manuscript Received : Dec 16 2010 Manuscript Accepted : Jan 04 2011

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