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Utility representation of lower separable preferences

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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.

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Elsevier

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Economics

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Mathematical Social Sciences

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10.1016/j.mathsocsci.2008.06.005

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