Not how Omega looks at it. By definition, Omega looks ahead, sees a branch in which you would go for Box A, and puts nothing in Box B. There’s no cheating Omega… just like you can’t think “I’m going to one-box, but then open Box A after I’ve pocketed the million” there’s no “I’m going to open Box B first, and decide whether or not to open Box A afterward”. Unless Omega is quite sure that you have precommitted to never opening Box A ever, Box B contains nothing; the strategy of leaving Box A as a possibility if Box B doesn’t pan out is a two-box strategy, and Omega doesn’t allow it.
Unless Omega is quite sure that you have precommitted to never opening Box A ever
Well, this isn’t quite true. What Omega cares about is whether you will open Box A. From Omega’s perspective it makes no difference whether you’ve precommitted to never opening it, or whether you’ve made no such precommitment but it turns out you won’t open it for other reasons.
Assuming that Omega’s “prediction” is in good faith, and that we can’t “break” him as a predictor as a side effect of exploiting casuality loops etc. in order to win.
I’m not sure I understood that, but if I did, then yes, assuming that Omega is as described in the thought experiment. Of course, if Omega has other properties (for example, is an unreliable predictor) other things follow.
Not how Omega looks at it. By definition, Omega looks ahead, sees a branch in which you would go for Box A, and puts nothing in Box B. There’s no cheating Omega… just like you can’t think “I’m going to one-box, but then open Box A after I’ve pocketed the million” there’s no “I’m going to open Box B first, and decide whether or not to open Box A afterward”. Unless Omega is quite sure that you have precommitted to never opening Box A ever, Box B contains nothing; the strategy of leaving Box A as a possibility if Box B doesn’t pan out is a two-box strategy, and Omega doesn’t allow it.
Well, this isn’t quite true. What Omega cares about is whether you will open Box A. From Omega’s perspective it makes no difference whether you’ve precommitted to never opening it, or whether you’ve made no such precommitment but it turns out you won’t open it for other reasons.
Assuming that Omega’s “prediction” is in good faith, and that we can’t “break” him as a predictor as a side effect of exploiting casuality loops etc. in order to win.
I’m not sure I understood that, but if I did, then yes, assuming that Omega is as described in the thought experiment. Of course, if Omega has other properties (for example, is an unreliable predictor) other things follow.