If you decide not to press “sim”, you know that there are no simulations. It’s impossible for there to be an original who presses “sim” only for the simulations to make different decisions. You’re the original and will leave with 0.9.
If you decide to press “sim”, you know that there are 1000 simulations. You’ve only got a 1 in 1001 chance of being the original. Your expected utility for pressing the button is slightly more than 0.2.
If you decide not to press “sim”, you know that there are no simulations. It’s impossible for there to be an original who presses “sim” only for the simulations to make different decisions. You’re the original and will leave with 0.9.
If you decide to press “sim”, you know that there are 1000 simulations. You’ve only got a 1 in 1001 chance of being the original. Your expected utility for pressing the button is slightly more than 0.2.
Oh! I got it. Thanks for patiently sticking this out with me!