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cousin_it comments on A Problem About Bargaining and Logical Uncertainty - Less Wrong
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Then you'd be coordinating with players of other CM setups, not just with your own counterfactual opponent, you'd be breaking out of your thought experiment, and that's against the rules! (Whatever "logical coin" is, the primary condition is for it to be shared among and accessible to all coordinating agents. If that's so, like here, then I keep the money, assuming the thought experiment doesn't leak control.)
I'm still not sure. You can look at it as cooperating with players of other CM setups, or as trying to solve the meta-question "what decision theory would be good at solving problems like this one?" Saying "50% of logical coins fall heads" seems to capture the intent of the problem class quite well, no?
The decision algorithm that takes the whole pie is good at solving problems like this one: for each specific pie it gets it whole. Making the same action is not good for solving the different problem of dividing all possible pies simultaneously, but then the difference is reflected in the problem statement, and so the reasons that make it decide correctly for individual problems won't make it decide incorrectly for the joint problem.
I think it's right to cooperate in this thought experiment only to the extent that we accept the impossibility of isolating this thought experiment from its other possible instances, but then it should just motivate restating the thought experiment so as to make its expected actual scope explicit.
Agreed.