Utility representation theorems for Debreu separable preorders

Gerhard Herden and Vladimir Levin

Journal of Mathematical Economics, 2012, vol. 48, issue 3, 148-154

Abstract: 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.

Keywords: Debreu separability; Weak Debreu separability; Topological space; Continuous preorder; Utility function; Open decreasing set; Separable system (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:48:y:2012:i:3:p:148-154

DOI: 10.1016/j.jmateco.2012.02.005

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