Show simple item record Bergin, James 2008-10-28T15:12:50Z 2008-10-28T15:12:50Z 1998 Department of Economics, Queen’s University en 1998-09-18
dc.description.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, that the individual statistics are either equal or constant. This paper discusses circumstances where constancy and equality both hold. The first case arises when partitions are independently drawn, and each individual's information is determined by their own partition and some public signal. In this case common knowledge of the value of the aggregator function implies (with probability one) that the individual statistics are constant, so that in the case where the individual statistics have the same expected value, they must all be equal. The second circumstance is where private statistics are related: affiliation of individual statistics and a lattice condition imply that the individual statistics are equal when the value of the aggregate statistic is common knowledge. en
dc.format.extent 4304 bytes
dc.format.mimetype application/pdf
dc.language.iso en en
dc.publisher Queen’s University. Department of Economics en
dc.relation.ispartofseries Queen’s Economics Department Working Papers en
dc.relation.ispartofseries No. 974 en
dc.subject.lcsh Monotonic functions en
dc.subject.lcsh Statistics en
dc.subject.lcsh Partitions (Mathematics)
dc.title Common knowledge with monotone statistics en
dc.type Working Paper en
dc.internal.authorurl James Bergin (web page) en
dc.internal.authorurl en
dc.internal.authorcontactother Email:; Tel: +353 1 716 4618 en
dc.internal.authorid UCD0002 en
dc.internal.availability Full text not available en
dc.internal.webversions Publisher's version en
dc.internal.webversions en
dc.status Not peer reviewed en
dc.neeo.contributor Bergin|James|aut|UCD0002

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