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.
- Language
-
Englisch
- Bibliographic citation
-
Series: Working Papers ; No. 401
- Classification
-
Wirtschaft
Mathematical Methods; Programming Models; Mathematical and Simulation Modeling: General
Consumer Economics: Theory
- Subject
-
Linear continuity
Utility representation
Nutzentheorie
Präferenztheorie
Theorie
- Event
-
Geistige Schöpfung
- (who)
-
Inoue, Tomoki
- Event
-
Veröffentlichung
- (who)
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Bielefeld University, Institute of Mathematical Economics (IMW)
- (where)
-
Bielefeld
- (when)
-
2008
- Handle
- URN
-
urn:nbn:de:hbz:361-13695
- Last update
-
29.11.0009, 4:22 AM CET
Data provider
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ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Arbeitspapier
Associated
- Inoue, Tomoki
- Bielefeld University, Institute of Mathematical Economics (IMW)
Time of origin
- 2008
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An alternative proof for the linear utility representation theorem
Lévy-like continuity theorems for convergence in distribution
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Brownian absolute continuity of KPZ fixed point with arbitrary initial condition
Plancherel's theorem and integration without the lattice condition
The arbitrage Pricing Theorem with Non Expected Utility Preferences
A Skorohod Representation Theorem for Uniform Distance
Skorohod's representation theorem for sets of probabilities
When does the Riesz representation theorem hold?
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An alternative proof for the linear utility representation theorem
Lévy-like continuity theorems for convergence in distribution
Skorohod Representation Theorem Via Disintegrations
The Rotten Kid Theorem and Almost Transferable Utility
Brownian absolute continuity of KPZ fixed point with arbitrary initial condition
Plancherel's theorem and integration without the lattice condition
The arbitrage Pricing Theorem with Non Expected Utility Preferences
A Skorohod Representation Theorem for Uniform Distance
Skorohod's representation theorem for sets of probabilities
When does the Riesz representation theorem hold?