That they either must both hear the same story or else break the assumption of symmetry is an important objection to the hypothetical. Either choice breaks the problem statement as presented.
Thank you! If I was the other clone and heard that I was about to play a game of PD which would have no consequences for anyone except the other player, who was also me, that would distort my incentives.
It’s established in the problem statement that the experimenter is going to destroy or falsify all records of what transpired during the game, including the fact that a game even took place, presumably to rule out cooperation motivated by reputational effects. If you want a perfectly honest and trustworthy experimenter, establish that axiomatically, or at least don’t establish anything that directly contradicts.
Assuming that the other party is a clone with identical starting mind-state makes it a much more tractable problem. I don’t have much idea how perfect reasoners behave; I’ve never met one.
Saying “I wouldn’t trust someone like that to tell the truth about whose payout counts” is fighting the hypothetical.
I don’t think you need to assume the other party is a clone; you just need to assume that both you and the other party are perfect reasoners.
That they either must both hear the same story or else break the assumption of symmetry is an important objection to the hypothetical. Either choice breaks the problem statement as presented.
Thank you! If I was the other clone and heard that I was about to play a game of PD which would have no consequences for anyone except the other player, who was also me, that would distort my incentives.
It’s established in the problem statement that the experimenter is going to destroy or falsify all records of what transpired during the game, including the fact that a game even took place, presumably to rule out cooperation motivated by reputational effects. If you want a perfectly honest and trustworthy experimenter, establish that axiomatically, or at least don’t establish anything that directly contradicts.
Assuming that the other party is a clone with identical starting mind-state makes it a much more tractable problem. I don’t have much idea how perfect reasoners behave; I’ve never met one.