Lexicographic quasilinear utility
type: Item
instance of: scholarly article
title: Lexicographic quasilinear utility
zbMATH Open document ID: 1042.91027
DOI: 10.1016/S0304-4068(02)00014-9
author: Yutaka Nakamura
published in: Journal of Mathematical Economics
publication date: 2002-12-02T00:00:00Z
review text: The author derives necessary and sufficient conditions for the existence of a finite-dimensional quasilinear utility function whose lexicographically ordered utility vectors preserve a decision maker's preference order on a mixture space. The main theorem of the paper gives four axioms for this equivalence: weak order, betweeness and two further axioms A3 and A4\((n)\). A3 says that if either the upper or lower Archimedean axiom holds for a triple \((x, y, z)\) then a weak requirement of the independence axiom (with \(\lambda= 1/2\)) holds. A4\((n)\) is a relaxation of the Archimedean axiom. A further theorem characterizes \(n\)-dimensional lexicographic linear representations using independence axioms.
reviewed by: Peter Kischka
Mathematics Subject Classification ID: 91B16
Mathematics Subject Classification ID: 91B08
zbMATH DE Number: 1839105
zbMATH Keywords: lexicographic utility
zbMATH Keywords: quasilinearity
zbMATH Keywords: expected utility
zbMATH Keywords: non-Archimedean axioms
zbMATH Keywords: betweeness
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1839105