Utility representation of lower separable preferences
Özgür Yılmaz ()
Mathematical Social Sciences, 2008, vol. 56, issue 3, 389-394
Abstract:
Topological 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.
Keywords: D11; Incomplete; preferences; Utility; representation; Upper/lower; separability; Near-completeness (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:56:y:2008:i:3:p:389-394
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