An Elementary Proof That Well-Behaved Utility Functions Exist

dc.contributor.authorVoorneveld, Mark
dc.contributor.authorWeibull, Jörgen W.
dc.date.accessioned2018-07-09T07:06:14Z
dc.date.available2018-07-09T07:06:14Z
dc.date.issued2016-06
dc.description.abstractStarting from an intuitive and constructive approach for countable domains, and combining this with elementary measure theory, we obtain an upper semi-continuous utility function based on outer measure. Whenever preferences over an arbitrary domain can at all be represented by a utility function, our function does the job. Moreover, whenever the preference domain is endowed with a topology that makes the preferences upper semi-continuous, so is our utility function. 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 intuitive and straight-forward route has been taken.en_US
dc.identifier.citationTheoretical Economics Letters, 2016, 6, 450-457en_US
dc.identifier.issn2162-2086
dc.identifier.urihttp://dx.doi.org/10.4236/tel.2016.63051
dc.identifier.urihttp://hdl.handle.net/123456789/1725
dc.language.isoenen_US
dc.publisherScientific Researchen_US
dc.subjectPreferencesen_US
dc.subjectUtility Theoryen_US
dc.subjectMeasure Theoryen_US
dc.subjectOuter Measureen_US
dc.titleAn Elementary Proof That Well-Behaved Utility Functions Existen_US
dc.typeArticleen_US
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