(Hemi)Continuity of additive preference preorders

Georgios Gerasimou

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)
    2 Downloads (Pure)

    Abstract

    It is shown that the two common notions of topological continuity for preference
    preorders, which require closed contour sets and a closed graph respectively,
    are equivalent even when completeness is not assumed, provided
    that the domain is a normed linear space or a topological group and the
    preorder is additive.
    Original languageEnglish
    Pages (from-to)79-81
    JournalJournal of Mathematical Economics
    Volume58
    Early online date11 Apr 2015
    DOIs
    Publication statusPublished - May 2015

    Keywords

    • Incompleteness
    • Continuity
    • Hemicontinuity
    • Addiviity
    • Independence
    • Homotheticity

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