Analytical representation of concave and quasiconcave homogeneous functions |
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| Authors: | V K Gorbunov |
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| Institution: | 1. Faculty of Economics, Ulyanovsk State University, Ulyanovsk, Russia.vkgorbunov@mail.ru |
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| Abstract: | The formula which implements bijection between the class of concave linearly homogeneous functions defined on the nonnegative orthant of an arithmetic space and the simpler class of concave functions defined on the standard (probabilistic) simplex is presented. Two generalizations of this formula for analytical representation of quasiconcave homogeneous function are also proposed. These formulas particularly extend opportunities of modelling production objects and consumption. |
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| Keywords: | Homogeneous concave and quasiconcave functions superlinear functions homogenizing Fenchel–Rockafellar representation utility and production functions |
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