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Continuous order-isomorphisms: a Debreu open gap approach
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2015 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

Utility theory of economics is a well used tool for handling preferences. However there is seldom a deeper mathematical treatment regarding the existence of continuous utility functions. In this thesis we prove both existence and continuity and in addition we will look at an application in form of expected utility.

Abstract [sv]

Nyttoteori är inom nationalekonomi ett välanvänt verktyg för att hantera preferenser. Trots detta görs sällan en djupare matematisk studie av existensen av kontinuerliga nyttofunktioner. I denna uppsats kommer vi dock att bevisa existensen av sådana funktioner samt titta på en applikation av dem i form av förväntad nytta.

Place, publisher, year, edition, pages
2015. , 27 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-104283OAI: oai:DiVA.org:umu-104283DiVA: diva2:818584
Supervisors
Examiners
Available from: 2015-11-04 Created: 2015-06-09 Last updated: 2015-11-04Bibliographically approved

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fulltext(715 kB)116 downloads
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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf