In Jeffrey’s desirability formula you write P(p|pi). But isn’t this value always 1 for any i? Which would mean the term can be eliminated since multiplying with 1 makes no difference? Assume p = “the die comes up even”. So the partition of p is (the die comes up...) {2,4,6}. And P(p|pi)=1 for all i. E.g. P(even|2)=1.
In Jeffrey’s desirability formula you write P(p|pi). But isn’t this value always 1 for any i? Which would mean the term can be eliminated since multiplying with 1 makes no difference? Assume p = “the die comes up even”. So the partition of p is (the die comes up...) {2,4,6}. And P(p|pi)=1 for all i. E.g. P(even|2)=1.
I guess you (Jeffrey) rather meant P(pi|p)?