As for the deterministic variant, as you’d need some distribution from which the value of x is being selected, I’m not sure how best to calculate the EV of any particular scheme (whereas the nondeterministic algorithm sidesteps this by allowing a calculation of EV after X is selected). With a good prior, yeah, it’d be pretty simple, but without it becomes GAI-complete, yeah?
As for the deterministic variant, as you’d need some distribution from which the value of x is being selected, I’m not sure how best to calculate the EV of any particular scheme (whereas the nondeterministic algorithm sidesteps this by allowing a calculation of EV after X is selected). With a good prior, yeah, it’d be pretty simple, but without it becomes GAI-complete, yeah?