Order isomorphisms for preferences with intransitive indifference
type: Item
instance of: scholarly article
title: Order isomorphisms for preferences with intransitive indifference
zbMATH Open document ID: 0941.91026
DOI: 10.1016/S0304-4068(97)00051-7
author: Vicki Knoblauch
published in: Journal of Mathematical Economics
publication date: 1999-09-01T00:00:00Z
review text: An order isomorphism from one preference relation to another is a function between their underlying sets that preserves both preference and indifference. A utility function is an order isomorphism, as is a well-known two-function representation for preference relations with intransitive indifference. Necessary and sufficient conditions are given for the existence of an order isomorphism from a given preference relation to the set of sequences of zeros and ones ordered by Pareto dominance. This means of preference representation is shown via examples to be quite general.
Mathematics Subject Classification ID: 91B08
Mathematics Subject Classification ID: 91B16
zbMATH DE Number: 1330466
zbMATH Keywords: intransitive indifference
zbMATH Keywords: order isomorphism
zbMATH Keywords: preferences
MaRDI profile type: Publication
cites work: Continuous representation of a preference relation on a connected topological space
cites work: Continuity Properties of Paretian Utility
cites work: Interval representations for interval orders and semiorders
cites work: Utility Functions for Partially Ordered Topological Spaces
cites work: A weak utility function for acyclic preferences
cites work: The Nontransitive Consumer
full work available at URL: s0304-4068(97)00051-7
OpenAlex ID: W2069298088
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description: scientific article; zbMATH DE number 1330466