An explanation of Aumann's agreement theorem

by Tyrrell_McAllister1 min read7th Jul 201118 comments


Aumann's Agreement TheoremRationality
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I've written up a 2-page explanation and proof of Aumann's agreement theorem.  Here is a direct link to the pdf via Dropbox.

The proof in Aumann's original paper is already very short and accessible.  (Wei Dai gave an exposition closely following Aumann's in this post.)  My intention here was to make the proof even more accessible by putting it in elementary Bayesian terms, stripping out the talk of meets and joins in partition posets.  (Just to be clear, the proof is just a reformulation of Aumann's and not in any way original.)

I will appreciate any suggestions for improvements.

Update:  I've added an abstract and made one of the conditions in the formal description of "common knowledge" explicit in the informal description.

UpdateHere is a direct link to the pdf via Dropbox (ht to Vladimir Nesov).

UpdateIn this comment, I explain why the definition of "common knowledge" in the write-up is the same as Aumann's.

Update 2020-05-23: I fixed the Dropbox link and removed the Scribd link.