Utility representation theorems for Debreu separable preorders

We prove the existence of arbitrary (resp., semicontinuous, continuous) utility representations for arbitrary (resp., semicontinuous, continuous) preorders satisfying some weakened Debreu order separability conditions. In this way we widely generalize a classical result for total preorders that essentially is due to Debreu.

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Year of publication:	2012
Authors:	Herden, Gerhard ; Levin, Vladimir L.
Published in:	Journal of Mathematical Economics. - Elsevier, ISSN 0304-4068. - Vol. 48.2012, 3, p. 148-154
Publisher:	Elsevier
Subject:	Debreu separability \| Weak Debreu separability \| Topological space \| Continuous preorder \| Utility function \| Open decreasing set \| Separable system

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010574772