A note on the extension of an order on a set to the power set

Yakar Kannai, Bezalel Peleg

Research output: Contribution to journalArticlepeer-review

125 Scopus citations

Abstract

The problem of extending an order on a set to the power set arises quite frequently in social choice theory. An axiomatic treatment of this problem is provided by this note. In particular, we show that the combination of Gärdenfors' principle of extension with a very mild monotonicity requirement leads to an impossibility result.

Original languageEnglish
Pages (from-to)172-175
Number of pages4
JournalJournal of Economic Theory
Volume32
Issue number1
DOIs
StatePublished - Feb 1984
Externally publishedYes

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