I was thinking that if proofs are allowed to use their own length as a premise, then the expected payoff from each proof would depend on the length of that proof. Both agent and predictor can prove that any proof which is too long results in $1000 or $0, therefore the agent would choose a shorter proof that gives $1000000.
I was thinking that if proofs are allowed to use their own length as a premise, then the expected payoff from each proof would depend on the length of that proof. Both agent and predictor can prove that any proof which is too long results in $1000 or $0, therefore the agent would choose a shorter proof that gives $1000000.
I have no idea whether that’s correct, though.