We describe three epistemic dilemmas that an agent might face if she attempts to follow Accuracy, and we show that the only inaccuracy measures that do not give rise to such dilemmas are the quadratic inaccuracy measures.
Huh? I don’t have the time to look into this, but are they saying that a quadratic inaccuracy measure is superior to entropy?
Yes, basically they’re saying given some reasonable (at least to them) assumptions about what an accuracy measure should look like, the only acceptable measure is quadratic.
They make some arbitrary assumptions about how to represent the space of possible worlds and degrees of belief, and it isn’t clear if their result depends on these assumptions (they acknowledge this).
Huh? I don’t have the time to look into this, but are they saying that a quadratic inaccuracy measure is superior to entropy?
Yes, basically they’re saying given some reasonable (at least to them) assumptions about what an accuracy measure should look like, the only acceptable measure is quadratic.
They make some arbitrary assumptions about how to represent the space of possible worlds and degrees of belief, and it isn’t clear if their result depends on these assumptions (they acknowledge this).