Algebraic aggregation theory

Ariel Rubinstein, Peter C. Fishburn

    Research output: Contribution to journalArticlepeer-review

    Abstract

    An aggregation procedure merges a list of objects into a representative object. This paper considers the problem of aggregating n rows in an n-by-m matrix into a summary row, where every entry is an element in an algebraic field. It focuses on consistent aggregators, which require each entry in the summary row to depend only on its column entries in the matrix and to be the same as the column entry if the column in constant. Consistent aggregators are related to additive, linear and projective aggregators.

    Original languageEnglish (US)
    Pages (from-to)63-77
    Number of pages15
    JournalJournal of Economic Theory
    Volume38
    Issue number1
    DOIs
    StatePublished - Feb 1986

    ASJC Scopus subject areas

    • Economics and Econometrics

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