We present new sufficient conditions for the existence of a continuousutility function for an arbitrary binary relation on a topological space.Such conditions are basically obtained by using both the concept of aweakly continuous binary relation on a topological space and the conceptof a network weight. We are concerning with suitable topologicalnotions which generalize the concept of compactness and do not implysecond countability or local compactness.
@article{88,
title = {Existence of continuous utility functions for arbitrary binary relations: some sufficient conditions},
journal = {Tatra Mountains Mathematical Publications},
volume = {45},
year = {2010},
doi = {10.2478/tatra.v46i0.88},
language = {EN},
url = {http://dml.mathdoc.fr/item/88}
}
Bosi, Gianni; Caterino, Alessandro; Ceppitelli, Rita. Existence of continuous utility functions for arbitrary binary relations: some sufficient conditions. Tatra Mountains Mathematical Publications, Tome 45 (2010) . doi : 10.2478/tatra.v46i0.88. http://gdmltest.u-ga.fr/item/88/