Well, your prior gives you a unique value, and bayes theorem is a function, so it gives you a unique value for every input.
Well, your prior gives you a unique value,
So the claim is that you have arbitrary precision priors. What are they, and where are they stored?
Sorry, I haven’t been very clear. A perfect bayesian agent would have a unique real number to represent it’s level of belief in every hypothesis.
The betting-offer system I described about can force people (and force any hypothetical agent) to assign unique values.
Of course, an actual person won’t be capable of this level of precision or coherence.
Yes, but actually computing that function is computationally intractable in all but the simplest examples.
Well, your prior gives you a unique value, and bayes theorem is a function, so it gives you a unique value for every input.
So the claim is that you have arbitrary precision priors. What are they, and where are they stored?
Sorry, I haven’t been very clear. A perfect bayesian agent would have a unique real number to represent it’s level of belief in every hypothesis.
The betting-offer system I described about can force people (and force any hypothetical agent) to assign unique values.
Of course, an actual person won’t be capable of this level of precision or coherence.
Yes, but actually computing that function is computationally intractable in all but the simplest examples.