Algebraic aggregation theory

Ariel Rubinstein, Peter C. Fishburn

Research output: Contribution to journalArticlepeer-review


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
Pages (from-to)63-77
Number of pages15
JournalJournal of Economic Theory
Issue number1
StatePublished - Feb 1986
Externally publishedYes


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