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byrnema comments on Open Thread: February 2010 - Less Wrong
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Yes, most Eliezer Yudkowskys will 1-box. And most byrnemas too. But the new twist (new for me, anyway) is that the Eliezer's that two-box are the ones that really win, as rare as they are.
The one who wins or loses is the one who makes the decision. You might as well say that if someone buys a quantum lottery ticket, the one who really wins is the future self who wins the lottery a few days later; but actually, the one who buys the lottery ticket loses.
The slight quantum chance that EY will 2-box causes the sum of EYs to lose, relative to a perfect 1-boxer, assuming Omega correctly predicts that chance and randomly fills boxes accordingly. The precise Everett branches where EY 2-boxes and where EY loses are generally different, but the higher the probability that he 1-boxes, the higher his expected value is.
And, also, we define winning as winning on average. A person can get lucky and win the lottery -- doesn't mean that person was rational to play the lottery.