Arbeitspapier
Outer measure and utility
In most economics textbooks there is a gap between the non-existence of utility functions and the existence of continuous utility functions, although upper semi-continuity is sufficient for many purposes. Starting from a simple constructive approach for countable domains and combining this with basic measure theory, we obtain necessary and sufficient conditions for the existence of upper semi-continuous utility functions on a wide class of domains. Although links between utility theory and measure theory have been pointed out before, to the best of our knowledge this is the first time that the present route has been taken.
- Language
-
Englisch
- Bibliographic citation
-
Series: SSE/EFI Working Paper Series in Economics and Finance ; No. 704
- Classification
-
Wirtschaft
Mathematical Methods; Programming Models; Mathematical and Simulation Modeling: General
Microeconomic Behavior: Underlying Principles
- Subject
-
preferences
utility theory
measure theory
outer measure
Präferenztheorie
Nutzentheorie
Messung
Theorie
- Event
-
Geistige Schöpfung
- (who)
-
Voorneveld, Mark
Weibull, Jörgen W.
- Event
-
Veröffentlichung
- (who)
-
Stockholm School of Economics, The Economic Research Institute (EFI)
- (where)
-
Stockholm
- (when)
-
2008
- Handle
- Last update
-
10.03.2025, 11:43 AM CET
Data provider
This object is provided by:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
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
- Voorneveld, Mark
- Weibull, Jörgen W.
- Stockholm School of Economics, The Economic Research Institute (EFI)
Time of origin
- 2008
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