In this paper some classes of vector valued generalized concave functions will be compared in the bicriteria case, that is when the images of the functions are contained in R-2. We will prove that, in the bicriteria case, continuous (C,C)-quasiconcave functions coincide with C-quasiconcave functions introduced by Luc; we will also prove that (C, C)-quasiconcave functions have a first order characterization and that they can be characterized by means of their increasness and decreasness.
Generalized Concavity for Bicriteria Functions
CAMBINI, RICCARDO
1998-01-01
Abstract
In this paper some classes of vector valued generalized concave functions will be compared in the bicriteria case, that is when the images of the functions are contained in R-2. We will prove that, in the bicriteria case, continuous (C,C)-quasiconcave functions coincide with C-quasiconcave functions introduced by Luc; we will also prove that (C, C)-quasiconcave functions have a first order characterization and that they can be characterized by means of their increasness and decreasness.File in questo prodotto:
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