TDT was defined as “deciding in such a way as if it decides the outcome of the abstract computation that is its choice”, which I assume means doing so in such a way to maximize expected utility. If TDT pays, its past self has expected utility of $4950, while its current self has expected utility of -$100. If TDT doesn’t pay, its past and present selves both have expected utility of $0. It sure would be counterintuitive if TDT didn’t pay, and time stopped a timeless decision theory agent from winning/being consistent.
TDT was defined as “deciding in such a way as if it decides the outcome of the abstract computation that is its choice”, which I assume means doing so in such a way to maximize expected utility. If TDT pays, its past self has expected utility of $4950, while its current self has expected utility of -$100. If TDT doesn’t pay, its past and present selves both have expected utility of $0. It sure would be counterintuitive if TDT didn’t pay, and time stopped a timeless decision theory agent from winning/being consistent.