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Order isomorphisms for preferences with intransitive indifference - MaRDI portal

Order isomorphisms for preferences with intransitive indifference (Q1300366)

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scientific article; zbMATH DE number 1330466
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Order isomorphisms for preferences with intransitive indifference
scientific article; zbMATH DE number 1330466

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    Order isomorphisms for preferences with intransitive indifference (English)
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    1 September 1999
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    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.
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    intransitive indifference
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    order isomorphism
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    preferences
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