Hmmm, good point: If we carve up the space of possibilities finely enough, then every possibility will have a too-low probability. So to make a “ignore small probabilities” solution work, we’d need to include some sort of rule for how to carve up the possibilities. And yeah, this seems like an unpromising way to go…
I think the best way to do it would be to say “We lump all possibilities together that have the same utility.” The resulting profile of dots would be like a hollow bullet or funnel. If we combined that with an “ignore all possibilities below probability p” rule, it would work. It would still have problems, of course.
Hmmm, good point: If we carve up the space of possibilities finely enough, then every possibility will have a too-low probability. So to make a “ignore small probabilities” solution work, we’d need to include some sort of rule for how to carve up the possibilities. And yeah, this seems like an unpromising way to go…
I think the best way to do it would be to say “We lump all possibilities together that have the same utility.” The resulting profile of dots would be like a hollow bullet or funnel. If we combined that with an “ignore all possibilities below probability p” rule, it would work. It would still have problems, of course.