I mean, there’s nothing wrong with using the log scoring rule. But since the implied probabilities will change depending on how you aggregate the utilities, it doesn’t seem to me that it gets us any closer to a truly objective, consequence-free answer—‘objective probability’ is still meaningless here, it all depends on the bet structure.
I mean, there’s nothing wrong with using the log scoring rule. But since the implied probabilities will change depending on how you aggregate the utilities, it doesn’t seem to me that it gets us any closer to a truly objective, consequence-free answer—‘objective probability’ is still meaningless here, it all depends on the bet structure.