Each interview consists of one question, “What is your credence now for the proposition that our coin landed heads?”, and the answer given will be scored according to a logarithmic scoring rule, with the aggregate result corresponding to the number of utilons (converted to dollars, let’s say) she will be penalized after the experiment.
Here is a diagram I made of this situation, inspired by my adventures here.
The semantics are such that for example, because all the player nodes are inside a blue blob, p=q=r, unless you choose an answer by flipping coins or something.
Here is a diagram I made of this situation, inspired by my adventures here.
The semantics are such that for example, because all the player nodes are inside a blue blob, p=q=r, unless you choose an answer by flipping coins or something.
Edit: fixed; thanks, RobinZ
...where’s the flip corresponding to getting scored for the other outcome? Doesn’t that make it 1-p=q=r?
You’re right about the payoffs. But p=q=r nevertheless.