Back to Search
Start Over
On the Curvature of Homogeneous Functions.
- Source :
-
Journal of Optimization Theory & Applications . Jul2023, Vol. 198 Issue 1, p215-223. 9p. - Publication Year :
- 2023
-
Abstract
- Consider a quasiconcave, upper semicontinuous and homogeneous of degree γ function f. This paper shows that the reciprocal of the degree of homogeneity, 1 / γ , can be interpreted as a measure of the degree of concavity of f. As a direct implication of this result, it is also shown that f is harmonically concave if γ ≤ - 1 or γ ≥ 0 , concave if 0 ≤ γ ≤ 1 and logconcave if γ ≥ 0 . Some relevant applications to economic theory are given. For example, it is shown that a quasiconcave and homogeneous production function is concave if it displays nonincreasing returns to scale and logconcave if it displays increasing returns to scale. [ABSTRACT FROM AUTHOR]
- Subjects :
- *RETURNS to scale
*ECONOMIES of scale
*CONCAVE functions
*CURVATURE
*HOMOGENEITY
Subjects
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 198
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 164781303
- Full Text :
- https://doi.org/10.1007/s10957-023-02249-6