Common Knowledge With Monotone Statistics

Arbeitspapier

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.

Angaben zum Objekt

• Sprache: Englisch

Verweise und Beziehungen

• Erschienen in: Series: Queen's Economics Department Working Paper ; No. 974

Klassifikation und Themen

• Klassifikation: Wirtschaft ; Information, Knowledge, and Uncertainty: General ; Asymmetric and Private Information; Mechanism Design
• Thema: Common Knowledge ; Aggregate Statistics ; Random Information ; Affiliated Information

Beteiligte, Orts- und Zeitangaben

• Ereignis: Geistige Schöpfung
• (wer): Bergin, James
• Ereignis: Veröffentlichung
• (wer): Queen's University, Department of Economics
• (wo): Kingston (Ontario)
• (wann): 1998

Weitere Informationen

• Handle: http://hdl.handle.net/10419/189266
• Letzte Aktualisierung: 10.03.2025, 11:43 MEZ