Ugh, this post has me tilted- if your utility function is
max sum log(spending on fun stuff at time t ) * p(alive_t) s.t. cash at time t = savings_{t-1}*r + work_t - spending_t,
etc.,
There's no fucking way the optimal solution is to blow all your money now, because the disutility of living in poverty for decades is so high. It's the same reason people pay for insurance, no one expects their house is going to burn down tomorrow, but protecting yourself against the risk is the 100% correct decision.
Idk, they are the Rationalist^{tm} so what the hell do I know.