Increasing quasiconcave production and utility functions with diminishing returns to scale

Juan Enrique Mart?ez-Legaz (), Alexander M. Rubinov and Siegfried Schaible
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Juan Enrique Mart?ez-Legaz: http://pareto.uab.es/jemartinez
Authors registered in the RePEc Author Service: Juan Enrique Martinez-Legaz

UFAE and IAE Working Papers from Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC)

Abstract: In microeconomic analysis functions with diminishing returns to scale (DRS) have frequently been employed. Various properties of increasing quasiconcave aggregator functions with DRS are derived. Furthermore duality in the classical sense as well as of a new type is studied for such aggregator functions in production and consumer theory. In particular representation theorems for direct and indirect aggregator functions are obtained. These involve only small sets of generator functions. The study is carried out in the contemporary framework of abstract convexity and abstract concavity.

Keywords: aggregator functions; diminishing returns to scale; abstract convexity; duality (search for similar items in EconPapers)
JEL-codes: C65 D11 D29 (search for similar items in EconPapers)
Pages: 21
Date: 2003-03-25
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