Isotonies on ordered cones through the concept of a decreasing scale

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. © 2007… (More)
DOI: 10.1016/j.mathsocsci.2007.05.001

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