Each offer is one I want to accept, but I eventually have to turn one down in order to gain from it. Let’s say I don’t trust my mind to truly be so arbitrary though, so I use actual arbitrariness. Each offer multiplies my likelihood of survival by 99.9999%, so let’s say each time I give myself a 99.999% chance of accepting the next offer (the use of 1 less 9 is deliberate). I’m likely to accept a lot of offers without significant decrease in my likelihood of survival. But wait, I just did better by letting probability choose than if I myself had chosen. Perhaps if rather than 1 me making all the choices, I generate infinitely many me’s (or an arbitrary amount such as 3^^^3) and each one chooses 1 or 0, and then we merge and I accept the offer once for each 1 that was chosen. I’m essentially playing the prisoner’s dilemma...I want to choose 1, but I don’t want all the other me’s to choose 1 as well, so I must choose 0 in hopes that they all also choose 0. Can I somehow get almost all of us to choose 0...?
Each offer is one I want to accept, but I eventually have to turn one down in order to gain from it. Let’s say I don’t trust my mind to truly be so arbitrary though, so I use actual arbitrariness. Each offer multiplies my likelihood of survival by 99.9999%, so let’s say each time I give myself a 99.999% chance of accepting the next offer (the use of 1 less 9 is deliberate). I’m likely to accept a lot of offers without significant decrease in my likelihood of survival. But wait, I just did better by letting probability choose than if I myself had chosen. Perhaps if rather than 1 me making all the choices, I generate infinitely many me’s (or an arbitrary amount such as 3^^^3) and each one chooses 1 or 0, and then we merge and I accept the offer once for each 1 that was chosen. I’m essentially playing the prisoner’s dilemma...I want to choose 1, but I don’t want all the other me’s to choose 1 as well, so I must choose 0 in hopes that they all also choose 0. Can I somehow get almost all of us to choose 0...?