Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
973348 | Mathematical Social Sciences | 2007 | 13 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Gianni Bosi, MarÃa J. Campión, Juan C. Candeal, Esteban Induráin, Magalì E. Zuanon,