TY  - GEN
AB  - 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.
DA  - 2008
KW  - Linear continuity
KW  - Utility representation
LA  - eng
PY  - 2008
SN  - 0931-6558
TI  - A utility representation theorem with weaker continuity condition
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-23162558
Y2  - 2024-11-22T08:18:15
ER  -