The Agreement Theorem is a consider-a-spherical-cow sort of result; its preconditions are absurdly strong. (In particular, the fact that the agents concerned are required not only to be perfect Bayesian reasoners but to have common knowledge that they are so.)
But even without Aumann one might hope for better agreement than we actually see...
Aumann’s Agreement Theorem. None of us are rational or observant enough to qualify, unfortunately.
The Agreement Theorem is a consider-a-spherical-cow sort of result; its preconditions are absurdly strong. (In particular, the fact that the agents concerned are required not only to be perfect Bayesian reasoners but to have common knowledge that they are so.)
But even without Aumann one might hope for better agreement than we actually see...