The existence of utility functions for weakly continuous preferences on a Banach space
نویسندگان
چکیده
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. D 2005 Elsevier B.V. All rights reserved.
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ورودعنوان ژورنال:
- Mathematical Social Sciences
دوره 51 شماره
صفحات -
تاریخ انتشار 2006