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 through the concept of a decreasing scale / Bosi, Gianni; CAMPION M., J; CANDEAL J., C; Indurain, E; Zuanon, M.. - In: MATHEMATICAL SOCIAL SCIENCES. - ISSN 0165-4896. - STAMPA. - 54:(2007), pp. 115-127. [10.1016/j.mathsocsci.2007.05.001]
Isotonies on ordered cones through the concept of a decreasing scale
BOSI, GIANNI;
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.File in questo prodotto:
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