Sub-semiorder: a model of multidimensional choice with preference intransitivity

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Abstract

The paper develops a model of choice called a sub-semiorder which is a generalization of Luce's semiorder to multidimensional choice. The same reason (imperfect discrimination) that gives rise to the intransitivity of indifference in a semiorder gives rise to the intransitivity of preference in a sub-semiorder. This provides a rational explanation of intransitivity of preference without resorting to the lexicographic semiorder of Tversky. It is shown that the "apparent underlying preference" of a sub-semiorder is transitive but unfortunately it is not complete. However, with a mild condition, there exists a maximal element.

Original languageEnglish
Pages (from-to)51-59
Number of pages9
JournalJournal of Mathematical Psychology
Volume16
Issue number1
DOIs
Publication statusPublished - Aug 1977

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