Talk:Aumann's agreement theorem

Could someone that knows what the opening sentence is about please fix the opening sentence? I'm having trouble understanding it. I feel as though it's poorly worded/grammatically incorrect-- 21:20, 5 July 2012 (UTC)
 * Looks fine to me. However a possible clue to the problem may lie in the word that opens your final two sentences. Sophie  because liberals  21:32, 5 July 2012 (UTC)
 * 21:39, 5 July 2012 (UTC)
 * "I'm I?"-- 21:47, 5 July 2012 (UTC)
 * But hey, thanks for not explaining it to me, Sophie. We can't have any productive or informative activities going on on this wiki, no way!-- 22:19, 5 July 2012 (UTC)
 * We can ,we just need a couple of irritating little twonks to piss off first. Sophie  because liberals  06:20, 6 July 2012 (UTC)

Inputs are not the same.
Please remove the sentence "For such careful definitions of "perfectly rational" and "common knowledge" this is equivalent to saying that two functioning calculators will not give different answers on the same input." It is not equivalent because in Aumann's theorem agents are given different inputs ("private information" in the paper). They don't have "common knowledge" about every relevant fact. This is also confirmed by the phrase "separate sets of further information" in "The theorem" section.