On differentiability of cost functions
type: Item
instance of: scholarly article
title: On differentiability of cost functions
zbMATH Open document ID: 0612.90007
DOI: 10.1016/0022-0531(86)90116-X
author: Daniel Primont
author: Rolf Färe
published in: Journal of Economic Theory
publication date: 1986-01-01T00:00:00Z
review text: The central point of the paper is the following theorem: Under usual conditions on the production function the following condition is necessay and sufficient for the differentiability of the cost function: for all efficient input vectors x,x', \(x\neq x'\), there exist efficient vectors \(\hat x\), \(\hat x'\) arbitrarily close to x resp. x', such that \(\lambda\hat x+(1-\lambda)\hat x'\) is not efficient for all \(\lambda\), \(0<\lambda <1\).
Mathematics Subject Classification ID: 91B50
zbMATH DE Number: 3991204
zbMATH Keywords: efficiency
zbMATH Keywords: differentiability of the cost function
MaRDI profile type: Publication
cites work: Q5817859
cites work: Q3318471
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cites work: Differentiability of the cost functions is equivalent to strict quasiconcavity of the production functions
cites work: An Axiomatic Approach to Input Demand Theory
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description: scientific article; zbMATH DE number 3991204