Utility representation theorems for Debreu separable preorders

Published on May 1, 2012in Journal of Mathematical Economics0.634
· DOI :10.1016/j.jmateco.2012.02.005
Gerhard Herden11
Estimated H-index: 11
Vladimir L. Levin5
Estimated H-index: 5
(Central Economics and Mathematics Institute)
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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