Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/56247
Authors: 
Voorneveld, Mark
Weibull, Jörgen W.
Year of Publication: 
2008
Series/Report no.: 
SSE/EFI Working Paper Series in Economics and Finance 704
Abstract: 
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.
Subjects: 
preferences
utility theory
measure theory
outer measure
JEL: 
C60
D01
Document Type: 
Working Paper

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