2024-11-0920080165-489610.1016/j.mathsocsci.2008.06.0052-s2.0-54049106043https://hdl.handle.net/20.500.14288/3374Topological separability is crucial for the utility representation of a complete preference relation. When preferences are incomplete, this axiom has Suitably defined Counterparts: Upper separability and lower separability [Ok, E.A., 2002. Utility representation of an incomplete preference relation. Journal of Economic Theory 104, 429-449]. We consider the problem of representing an incomplete preference relation by means of a vector-valued utility function; we obtain representation results under the lower separability assumption. Our results extend the main representation theorems by Ok [Ok, E.A., 2002. Utility representation of an incomplete preference relation. journal of Economic Theory 104, 429-449] in terms of the separability axioms.pdfEconomicsJournal Articlehttps://doi.org/10.1016/j.mathsocsci.2008.06.005261291100009N/ANOIR01077