Epistemic Constraint: The probability distribution which the agent settles on cannot be self-refuting according to the beliefs. It must be a fixed point of : a such that .
Minor: there might be cases in which there is a fixed point , but where the agent doesn't literally converge or deliberate their way to it, right? (Because you are only looking for to satisfy the conditions of Brouwer/Kakutani, and not, say, Banach, right?) In other words, it might not always be accurate to say that the agent "set...
A common trope is for magic to work only when you believe in it. For example, in Harry Potter, you can only get to the magical train platform 9 3/4 if you believe that you can pass through the wall to get there.
Are you familiar with Greaves' (2013) epistemic decision theory? These types of cases are precisely the ones she considers, although she is entirely focused on the epistemic side of things. For example (p. 916):
...Leap. Bob stands on the brink of a chasm, summoning up the courage to try and leap across it. Confidence helps him in such situations: speci
And, second, the agent will continually implement that plan, even if this makes it locally choose counter-preferentially at some future node.
Nitpick: IIRC, McClennen never talks about counter-preferential choice. Rather, that's Gauthier's (1997) approach to resoluteness.
as devised by Bryan Skyrms and Gerald Rothfus (cf Rothfus 2020b).
Found a typo: it is supposed to be Gerard. (It is also misspelt in the reference list.)
You might also find the following cases interesting (with self-locating uncertainty as an additional dimension), from this post.
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