Not whichever is lighter, one of whichever pair is heavier. Yes, I claim an EDT agent upon learning the rules, if they have a way to blind themself but not to force a commitment, will do this plan. They need to maximise the amount of incentive that the hosts have to put money in boxes, but to whatever extent they actually observe the money in boxes they will then expect to get the best outcome by making the best choice given their information. The only middle ground I could find is pairing the boxes, and picking one from the heavier pair. I’d be very happy to learn if I was wrong and there’s a better plan or if this doesn’t work for some reason.
Oh, silly me. Of course, EDT doesn’t need to pre-commit b/c EDT just does whatever gives the highest expected value without caring about whether there’s a causal impact or not. So when given the decision of whether to weigh the boxes in pairs vs. the decision of weighing them all and picking the heaviest, it’s happy to weigh in pairs because that increases how much money it expects to win.
Not whichever is lighter, one of whichever pair is heavier. Yes, I claim an EDT agent upon learning the rules, if they have a way to blind themself but not to force a commitment, will do this plan. They need to maximise the amount of incentive that the hosts have to put money in boxes, but to whatever extent they actually observe the money in boxes they will then expect to get the best outcome by making the best choice given their information. The only middle ground I could find is pairing the boxes, and picking one from the heavier pair. I’d be very happy to learn if I was wrong and there’s a better plan or if this doesn’t work for some reason.
Oh, silly me. Of course, EDT doesn’t need to pre-commit b/c EDT just does whatever gives the highest expected value without caring about whether there’s a causal impact or not. So when given the decision of whether to weigh the boxes in pairs vs. the decision of weighing them all and picking the heaviest, it’s happy to weigh in pairs because that increases how much money it expects to win.