TITLE:
Conditions for the Upper Semicontinuous Representability of Preferences with Nontransitive Indifference
AUTHORS:
Gianni Bosi, Magali Zuanon
KEYWORDS:
Interval Order, Upper Semicontinuous Numerical Representation, Semiorder
JOURNAL NAME:
Theoretical Economics Letters,
Vol.4 No.6,
June
13,
2014
ABSTRACT: We present different conditions for the
existence of a pair of upper semicontinuous functions representing an interval
order on a topological space without imposing any restrictive assumptions
neither on the topological space nor on the representing functions. The
particular case of second countable topological spaces, which is particularly
interesting and frequent in economics, is carefully considered. Some final
considerations concerning semiorders finish the paper.