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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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Citations: View citations in EconPapers (4)

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