I’m not sure if it’s because I’m Confused, but I’m struggling to understand if you are disagreeing, or if so, where your disagreement lies and how the parent comment in particular relates to that disagreement/the great-grandparent. I have a hunch that being more concrete and giving specific, minimally-abstract examples would help in this case.
I’m saying that if Sleeping Beauty’s goal is to better understand the world, by performing a Bayesian update on evidence, then I think this is a form of “payoff” that gives Thirder results.
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.
In this case it is optimal to bet 1⁄3 that the coin came up heads, 2⁄3 that it came up tails: [snip table]
I’m not sure if it’s because I’m Confused, but I’m struggling to understand if you are disagreeing, or if so, where your disagreement lies and how the parent comment in particular relates to that disagreement/the great-grandparent. I have a hunch that being more concrete and giving specific, minimally-abstract examples would help in this case.
I’m saying that if Sleeping Beauty’s goal is to better understand the world, by performing a Bayesian update on evidence, then I think this is a form of “payoff” that gives Thirder results.
From If a tree falls on Sleeping Beauty...: