No, I will not precommit to giving up my $100 for cases where Omega demands the money after the coin flip has occurred. There is no incentive to precommit in those cases, because the outcome is already against me and there’s not a chance that it “would” go in my favour.
At that point, it’s no longer a precommittal—it’s how you face the consequences of your decision whether to precommit or not. Note that the hypothetical loss case presented in the post is not in fact the decision point—that point is when you first consider the matter, which is exactly what you are doing right now. If you would really change your answer after considering the matter, then having now done so, have you changed it?
If you want to obtain the advantage of someone who makes such a precommittal (and sticks to it), you must be someone who would do so. If you are not such a person (and given your answer, you are not) it is advantageous to change yourself to be such a person, by making that precommitment (or better, a generalised “I will always take the path would have maximised returns across the distribution of counterfactual outcomes in Newcomblike situations”) immediately.
Such commitments change the dynamics of many such thought experiments, but usually they require that that commitment be known to the other person, and enforced some way (The way to win at Chicken is to throw your steering wheel out the window). Here though, Omega’s knowledge of us removes the need to explicit announcement, and it is in our own interests to be self-enforcing (or rather we wish to reliably enforce the decision on our future selves), or we will not receive the benefit. For that reason, a silent decision is as effective as having a conversation with Omega and telling it how we decide.
Explicitly announcing our decision thus only has an effect insofar as it keeps your future self honest. Eg. if you know you wouldn’t keep to a decision idly arrived at, but value your word such that you would stick to doing what you said you would despite its irrationality in that case, then it is currently in your interest to give your word. It’s just as much in your interest to give your word now though—make some public promise that you would keep. Alternatively if you have sufficient mechanisms in your mind to commit to such future irrational behaviour without a formal promise, it becomes unneccessary.
No, I will not precommit to giving up my $100 for cases where Omega demands the money after the coin flip has occurred. There is no incentive to precommit in those cases, because the outcome is already against me and there’s not a chance that it “would” go in my favour.
At that point, it’s no longer a precommittal—it’s how you face the consequences of your decision whether to precommit or not.
Note that the hypothetical loss case presented in the post is not in fact the decision point—that point is when you first consider the matter, which is exactly what you are doing right now. If you would really change your answer after considering the matter, then having now done so, have you changed it?
If you want to obtain the advantage of someone who makes such a precommittal (and sticks to it), you must be someone who would do so. If you are not such a person (and given your answer, you are not) it is advantageous to change yourself to be such a person, by making that precommitment (or better, a generalised “I will always take the path would have maximised returns across the distribution of counterfactual outcomes in Newcomblike situations”) immediately.
Such commitments change the dynamics of many such thought experiments, but usually they require that that commitment be known to the other person, and enforced some way (The way to win at Chicken is to throw your steering wheel out the window). Here though, Omega’s knowledge of us removes the need to explicit announcement, and it is in our own interests to be self-enforcing (or rather we wish to reliably enforce the decision on our future selves), or we will not receive the benefit. For that reason, a silent decision is as effective as having a conversation with Omega and telling it how we decide.
Explicitly announcing our decision thus only has an effect insofar as it keeps your future self honest. Eg. if you know you wouldn’t keep to a decision idly arrived at, but value your word such that you would stick to doing what you said you would despite its irrationality in that case, then it is currently in your interest to give your word. It’s just as much in your interest to give your word now though—make some public promise that you would keep. Alternatively if you have sufficient mechanisms in your mind to commit to such future irrational behaviour without a formal promise, it becomes unneccessary.