کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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972318 | 932555 | 2008 | 6 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Utility representation of lower separable preferences Utility representation of lower separable preferences](/preview/png/972318.png)
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.
Journal: Mathematical Social Sciences - Volume 56, Issue 3, November 2008, Pages 389–394