Sufficiently different versions of yourself are just logically uncorrelated with you and there is no game-theoretic reason to account for them.
Seems odd to make an absolute statement here. More different versions of yourself are less and less correlated, but there’s still some correlation. And UDT should also be applicable to interactions with other people, who are typically different from you in a whole bunch of ways.
Absolute sense comes from absolute nature of taking actions, not absolute nature of logical correlation. I.e., in Prisoner’s Dilemma with payoffs (5,5)(10,1)(2,2) you should defect if your counterparty is capable to act conditional on your action in less than 75% of cases, which is quite high logical correlation, but expected value is higher if you defect.
Seems odd to make an absolute statement here. More different versions of yourself are less and less correlated, but there’s still some correlation. And UDT should also be applicable to interactions with other people, who are typically different from you in a whole bunch of ways.
Absolute sense comes from absolute nature of taking actions, not absolute nature of logical correlation. I.e., in Prisoner’s Dilemma with payoffs (5,5)(10,1)(2,2) you should defect if your counterparty is capable to act conditional on your action in less than 75% of cases, which is quite high logical correlation, but expected value is higher if you defect.