Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
973463 | Mathematical Social Sciences | 2006 | 11 Pages |
Abstract
In this note we prove that the weak topology of a Banach space has the Continuous Representability Property which means that every (weakly) continuous total preorder defined on a Banach space can be represented by a weakly continuous utility function. This shows that weak topologies are perfect to look for continuous utility functions that represent preferences on infinite-dimensional commodity spaces.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
MarÃa J. Campión, Juan C. Candeal, Esteban Induráin,