Using techniques based on decreasing scales, necessary and sufficient conditions are presented for the existence of a continuous and homogeneous of degree one real-valued function representing a (not necessarily complete) preorder defined on a cone of a real vector space. Applications to measure theory and expected utility are given as consequences.

Isotonies on ordered cones throught the concept of a decreasing scale

ZUANON, Magali Ernestine
2007-01-01

Abstract

Using techniques based on decreasing scales, necessary and sufficient conditions are presented for the existence of a continuous and homogeneous of degree one real-valued function representing a (not necessarily complete) preorder defined on a cone of a real vector space. Applications to measure theory and expected utility are given as consequences.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/23376
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