Omega seems to run into some very fundamental credibility problem:
Let us assume the premise of the OP, that lifetime can be equated with discrete computational operations. Furthermore, also assume that the universe (space-time/mulltiverse/whatever) can be modeled result of a computation of n operations (let us say for simplicity n=10^100, we could also assume 10^^100 or any finite number, we will just need a bit more iterations of offers then).
… after some accepted offers … :
OMEGA: … I’ll replace your p% chance of living for 10^n years, with a 0.9999999p% chance of living 10^(10^n) years...
AGENT: Sounds nice, but I already know, what I would do first with 10^n years.
OMEGA: ???
AGENT: I will simulate my previous universe up to the current point. Inclusive this conversation.
OMEGA: What for?
AGENT: Maybe I am a nostalgic type. But even if I would not be, Given so much computational resources, the probability that I would not do it accidentally would be quite negligible.
OMEGA: Yes, but you could do even more simulations if you would take my next offer.
AGENT: Good point, but how can I tell that this conversation is not already taking place in that simulation? Whatever you would tell me (even if you are outside my universe, your intervention in my world would only add a few bits of extra information to those n bits), would not even change the information content of my universe by a single order of magnitude, so it would definitely end up among my countless emulations. I don’t see any conceivable way of you being able to convince me, that I am not the one emulated by a version of myself that already gained the resources in question, especially that I am determined to run these simulations just for FUN.
Omega seems to run into some very fundamental credibility problem:
Let us assume the premise of the OP, that lifetime can be equated with discrete computational operations. Furthermore, also assume that the universe (space-time/mulltiverse/whatever) can be modeled result of a computation of n operations (let us say for simplicity n=10^100, we could also assume 10^^100 or any finite number, we will just need a bit more iterations of offers then).
… after some accepted offers … :
OMEGA: … I’ll replace your p% chance of living for 10^n years, with a 0.9999999p% chance of living 10^(10^n) years...
AGENT: Sounds nice, but I already know, what I would do first with 10^n years.
OMEGA: ???
AGENT: I will simulate my previous universe up to the current point. Inclusive this conversation.
OMEGA: What for?
AGENT: Maybe I am a nostalgic type. But even if I would not be, Given so much computational resources, the probability that I would not do it accidentally would be quite negligible.
OMEGA: Yes, but you could do even more simulations if you would take my next offer. AGENT: Good point, but how can I tell that this conversation is not already taking place in that simulation? Whatever you would tell me (even if you are outside my universe, your intervention in my world would only add a few bits of extra information to those n bits), would not even change the information content of my universe by a single order of magnitude, so it would definitely end up among my countless emulations. I don’t see any conceivable way of you being able to convince me, that I am not the one emulated by a version of myself that already gained the resources in question, especially that I am determined to run these simulations just for FUN.