Duality for increasing positively homogeneous functions and normal sets

Duality for increasing positively homogeneous functions and normal sets

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Article ID: iaor20001839
Country: France
Volume: 32
Issue: 2
Start Page Number: 105
End Page Number: 123
Publication Date: Jan 1998
Journal: RAIRO Operations Research
Authors: ,
Keywords: duality
Abstract:

A nonlinear duality operation is defined for the class of increasing positively homogeneous functions defined on the positive orthant (including zero). This class of function and the associated class of normal sets are used extensively in Mathematical Economics. Various examples are provided along with a discussion of duality for a class of optimization problems involving increasing functions and normal sets.

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