Common Knowledge With Monotone Statistics

James Bergin

No 974, Working Paper from Economics Department, Queen's University

Abstract: When individual statistics are aggregated through a strictly monotone function to an aggregate statistic, common knowledge of the value of the aggregate statistic does not imply, in general, constancy of the individual statistics. This paper discusses two circumstances where it does occur. The first case arises when partitions are independently drawn: in this case common knowledge of the value of the aggregator function implies (with probability one) constancy of the individual statistics. The second case is where private statistics are related: affiliation of individual statistics and a lattice condition imply constancy of the individual statistics when the value of the aggregate statistic is common knowledge.

Keywords: Affiliated Information; Common Knowledge; Aggregate Statistics; Random Information (search for similar items in EconPapers)
JEL-codes: D80 D82 (search for similar items in EconPapers)
Pages: 9 pages
Date: 1998-09
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.econ.queensu.ca/sites/econ.queensu.ca/files/qed_wp_974.pdf First version 1998 (application/pdf)

Related works:
Journal Article: Common Knowledge with Monotone Statistics (2001)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:qed:wpaper:974

Access Statistics for this paper

More papers in Working Paper from Economics Department, Queen's University Contact information at EDIRC.
Bibliographic data for series maintained by Mark Babcock ().