by simulating a large number of Sleeping Beauties...
What criteria do you use to count up the results? Each incubator experiment produces either one, or two SBs. If we follow the criteria “in each experiment, we take the total number of people who were correct”, then SIA odds are the way to go. If instead, we follow “in each experiment, we take the average number of people who were correct”, then SSA is the way to go.
“Sleeping Beauty, before being put to sleep, expects that she will be awakened in future,”
Changed to clarify: “”Sleeping Beauty, before being put to sleep on Sunday, expects that she will be awakened in future,”
Additionally, I do not understand how her utility function (and any amount of money or chocolate) can change the odds in any way.
They do not change her odds, but her decisions, and I argue her decisions are the only important factors here, as her belief in her odds in not directly observable. You can believe in different odds, but still come to the same decision in any circumstance; I would argue that this is makes the odds irrelevant.
What criteria do you use to count up the results? Each incubator experiment produces either one, or two SBs. If we follow the criteria “in each experiment, we take the total number of people who were correct”, then SIA odds are the way to go. If instead, we follow “in each experiment, we take the average number of people who were correct”, then SSA is the way to go.
Changed to clarify: “”Sleeping Beauty, before being put to sleep on Sunday, expects that she will be awakened in future,”
They do not change her odds, but her decisions, and I argue her decisions are the only important factors here, as her belief in her odds in not directly observable. You can believe in different odds, but still come to the same decision in any circumstance; I would argue that this is makes the odds irrelevant.