Nope, I was wrong. It is the case that agents require equal priors for ATT to hold. AAT is like proving that mixing the same two colors of paint will always result in the same shade or that two equal numbers multiplied by another number will still be equal.
What a worthless theorem!
I guess when I read that AAT required “common priors” I assumed Aumann must mean known priors or knowledge of each others’ priors, since equal priors would constitute both 1) an asinine assumption and, 2) a result not worth reporting. Hanson’s assumption that humans should have a shared prior by virtue of being evolved together is interesting, but more creative than informative.
Good thing I don’t rely on ATT for anything. It’s obvious that disagreeing with most people is rational so updating on people’s posteriors without evidence would be pretty unreasonable. I’m not surprised that ATT would turn out to be so meaningless.
Nope, I was wrong. It is the case that agents require equal priors for ATT to hold. AAT is like proving that mixing the same two colors of paint will always result in the same shade or that two equal numbers multiplied by another number will still be equal.
What a worthless theorem!
I guess when I read that AAT required “common priors” I assumed Aumann must mean known priors or knowledge of each others’ priors, since equal priors would constitute both 1) an asinine assumption and, 2) a result not worth reporting. Hanson’s assumption that humans should have a shared prior by virtue of being evolved together is interesting, but more creative than informative.
Good thing I don’t rely on ATT for anything. It’s obvious that disagreeing with most people is rational so updating on people’s posteriors without evidence would be pretty unreasonable. I’m not surprised that ATT would turn out to be so meaningless.