> ...rational Bayesians sharing information...
setting aside the inherent humor of economics (which is sadly completely lost on economists), have you ever wondered - why would a purely rational actor even participate in the discussion, or, as a matter of fact, in anything? why would a purely logical machine get out of bed in the morning? would it not need to "want" something first? what would an emotionless logical machine "think" about, and why would it think about that and not something else? intellect without emotion is nothing. not figuratively, not poetically, but literally nothing.
P.S. since when does the word "converge" apply to anything going on in a market? :P