@techreport{Inoue2008utility,
abstract = {We prove that a preference relation which is continuous on every straight line has a utility representation if its domain is a convex subset of a finite dimensional vector space. Our condition on the domain of a preference relation is stronger than Eilenberg (1941) and Debreu (1959, 1964), but our condition on the continuity of a preference relation is strictly weaker than theirs.},
address = {Bielefeld},
author = {Tomoki Inoue},
copyright = {http://www.econstor.eu/dspace/Nutzungsbedingungen},
keywords = {C60; D11; 330; Linear continuity; Utility representation; Nutzentheorie; Pr\"{a}ferenztheorie; Theorie},
language = {eng},
note = {urn:nbn:de:hbz:361-13695},
number = {401},
publisher = {Inst. of Mathematical Economics, IMW},
title = {A utility representation theorem with weaker continuity condition},
type = {Working papers // Institute of Mathematical Economics},
url = {http://hdl.handle.net/10419/43833},
year = {2008}
}