Seems pretty similar to the “true prisoner’s dilemma”.
If both of you can self-bind (i.e. self-modify to act in a specific way in one specific future situation) and prove you’ve done so, you can make a mutual agreement to each take the 10k units.
If you can provably self-commit but the other doctor can’t, make a one-sided commitment along the following lines: “I’ll take the 10k units, and afterwards will trade them to you for 10k units of the other medicine. If you don’t want to trade for the medicine I got, I will destroy it completely, even if by that point I know that this will condemn 10k people to die horribly.”.
Obviously, if the other doctor can provably self-bind and you can’t, suggest that they commit along the same lines.
If one of you is willing to self-bind on this and can prove what code their mind is implemented with, that should (given arbitrarily large computing power) be enough to prove that they have done so.
Alternatively, if you like to cheat: Take the more expensive package of medicine, and if it turns out you took the set for the wrong disease, trade it for a larger amount of the other medicine on the market.
Seems pretty similar to the “true prisoner’s dilemma”.
If both of you can self-bind (i.e. self-modify to act in a specific way in one specific future situation) and prove you’ve done so, you can make a mutual agreement to each take the 10k units.
If you can provably self-commit but the other doctor can’t, make a one-sided commitment along the following lines: “I’ll take the 10k units, and afterwards will trade them to you for 10k units of the other medicine. If you don’t want to trade for the medicine I got, I will destroy it completely, even if by that point I know that this will condemn 10k people to die horribly.”.
Obviously, if the other doctor can provably self-bind and you can’t, suggest that they commit along the same lines.
If one of you is willing to self-bind on this and can prove what code their mind is implemented with, that should (given arbitrarily large computing power) be enough to prove that they have done so.
Alternatively, if you like to cheat: Take the more expensive package of medicine, and if it turns out you took the set for the wrong disease, trade it for a larger amount of the other medicine on the market.