Arbeitspapier
A utility representation theorem with weaker continuity condition
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.
- Sprache
-
Englisch
- Erschienen in
-
Series: Working Papers ; No. 401
Mathematical Methods; Programming Models; Mathematical and Simulation Modeling: General
Consumer Economics: Theory
Utility representation
Nutzentheorie
Präferenztheorie
Theorie
- Handle
- URN
-
urn:nbn:de:hbz:361-13695
- Letzte Aktualisierung
-
20.09.2024, 08:22 MESZ
Datenpartner
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Objekttyp
- Arbeitspapier
Beteiligte
- Inoue, Tomoki
- Bielefeld University, Institute of Mathematical Economics (IMW)
Entstanden
- 2008