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Increasing quasiconcave production and utility functions with diminishing returns to scale

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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.

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  • Juan Enrique Mart?ez-Legaz & Alexander M. Rubinov & Siegfried Schaible, 2003. "Increasing quasiconcave production and utility functions with diminishing returns to scale," UFAE and IAE Working Papers 565.03, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    • Handle: RePEc:aub:autbar:565.03
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    Keywords

    aggregator functions; diminishing returns to scale; abstract convexity; duality;
    All these keywords.

    JEL classification:

    • D29 - Microeconomics - - Production and Organizations - - - Other
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools

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