Utility representation of an incomplete preference relation

Efe A. Ok

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We consider the problem of representing a (possibly) incomplete preference relation by means of a vector-valued utility function. Continuous and semicontinuous representation results are reported in the case of preference relations that are, in a sense, not "too incomplete." These results generalize some of the classical utility representation theorems of the theory of individual choice and paves the way towards developing a consumer theory that realistically allows individuals to exhibit some "indecisiveness" on occasion. Journal of Economic Literature Classification Number: D11.

    Original languageEnglish (US)
    Pages (from-to)429-449
    Number of pages21
    JournalJournal of Economic Theory
    Volume104
    Issue number2
    DOIs
    StatePublished - 2002

    Keywords

    • Incomplete preference relations
    • Partial orders
    • Utility representation

    ASJC Scopus subject areas

    • Economics and Econometrics

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