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T-Space at The University of Toronto Libraries >
Theoretical Economics >
Volume 6, Number 2 (May 2011) >

Please use this identifier to cite or link to this item: http://hdl.handle.net/1807/27184

Title: Agreeing to agree
Authors: Ehud Lehrer; School of Mathematical Sciences, Tel Aviv University
Dov Samet; Faculty of Management, Tel Aviv University
Keywords: Agreeing theorem, common knowledge, common prior, no trade theorem
C70, D82
Issue Date: 3-May-2011
Publisher: Theoretical Economics
Citation: Theoretical Economics; Vol 6, No 2 (2011)
Abstract: [This item is a preserved copy. To view the original, visit http://econtheory.org/] Aumann has shown that agents who have a common prior cannot have common knowledge of their posteriors for event $E$ if these posteriors do not coincide. But given an event $E$, can the agents have posteriors with a common prior such that it is common knowledge that the posteriors for $E$ \emph{do} coincide? We show that a necessary and sufficient condition for this is the existence of a nonempty \emph{finite} event $F$ with the following two properties. First, it is common knowledge at $F$ that the agents cannot tell whether or not $E$ occurred. Second, this still holds true at $F$, when $F$ itself becomes common knowledge.
URI: http://hdl.handle.net/1807/27184
Other Identifiers: http://econtheory.org/ojs/index.php/te/article/view/20110269
Rights: Authors who publish in <i>Theoretical Economics</i> will release their articles under the <a href="http://creativecommons.org/licenses/by-nc/2.5/">Creative Commons Attribution-NonCommercial license</a>. This license allows anyone to copy and distribute the article for non-commercial purposes provided that appropriate attribution is given.
Appears in Collections:Volume 6, Number 2 (May 2011)

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