The pronoun refers to probabilities, not decision theories. If you say these probabilities are undefined/invalid, then you need to specify what happens when a decision theory tries to run a calculation using those probabilities, and (hopefully) argue why whatever alternative you specify will lead to good outcomes.
I’m confused: Where have I said that probabilities are undefined?
I did say that, if the pre-experiment agent-blob-of-atoms cares only about itself, and not the in-room-agents, then its preferences w.r.t. how the in-room-agents bet are undefined. Because its utility function was (by definition) independent of what happens to the in-room-agents. But I don’t think I’ve implied that any probabilities are undefined.
The pronoun refers to probabilities, not decision theories. If you say these probabilities are undefined/invalid, then you need to specify what happens when a decision theory tries to run a calculation using those probabilities, and (hopefully) argue why whatever alternative you specify will lead to good outcomes.
I’m confused: Where have I said that probabilities are undefined?
I did say that, if the pre-experiment agent-blob-of-atoms cares only about itself, and not the in-room-agents, then its preferences w.r.t. how the in-room-agents bet are undefined. Because its utility function was (by definition) independent of what happens to the in-room-agents. But I don’t think I’ve implied that any probabilities are undefined.
Did this help clarify things?