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Some Functional Equations Connected with the Utility of Gains and Losses

dc.contributor.authorTitioura, Andreien
dc.date.accessioned2006-08-22T14:20:13Z
dc.date.available2006-08-22T14:20:13Z
dc.date.issued2002en
dc.date.submitted2002en
dc.description.abstractThe behavioral properties shown by people when they make selections between different choices will be studied. Based on empirical and logical data a mathematical axiomatic model is built. D. Luce is a major contributor in this area. This thesis is based on his works and those of his many co-authors. Three approaches will be considered that lead to the rank-dependent utility representation of binary gambles composed only of gains (losses) relative to a status quo. The proofs involve the theory of functional equations which is a very powerful tool giving the precise numerical representations.en
dc.formatapplication/pdfen
dc.format.extent323360 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/10012/1013
dc.language.isoenen
dc.pendingfalseen
dc.publisherUniversity of Waterlooen
dc.rightsCopyright: 2002, Titioura, Andrei. All rights reserved.en
dc.subjectMathematicsen
dc.subjectUtilityen
dc.subjectfunctional equationsen
dc.subjectbinary gamblesen
dc.subjectRDU representationen
dc.titleSome Functional Equations Connected with the Utility of Gains and Lossesen
dc.typeMaster Thesisen
uws-etd.degreeMaster of Mathematicsen
uws-etd.degree.departmentPure Mathematicsen
uws.peerReviewStatusUnrevieweden
uws.scholarLevelGraduateen
uws.typeOfResourceTexten

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