Article ID Journal Published Year Pages File Type
4615839 Journal of Mathematical Analysis and Applications 2014 18 Pages PDF
Abstract

Given a functional defined on a nonempty subset of an Archimedean Riesz space with unit, necessary and sufficient conditions are obtained for the existence of a (convex or concave) niveloid that extends the functional to the entire space. In the language of mathematical finance, this problem is equivalent to the one of verifying if the policy adopted by a regulator is consistent with monetary risk measurement, when only partial information is available.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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