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Conditions for the Upper Semicontinuous Representability of Preferences with Nontransitive Indifference

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DOI: 10.4236/tel.2014.46048    2,660 Downloads   3,332 Views Citations

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.

Cite this paper

Bosi, G. and Zuanon, M. (2014) Conditions for the Upper Semicontinuous Representability of Preferences with Nontransitive Indifference. Theoretical Economics Letters, 4, 371-377. doi: 10.4236/tel.2014.46048.

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