unless you somehow know that you are much better than the other 9 experts at steering the outcome of the search as a whole. But in that case only you can steer the search . The other 9 experts would fail if they tried to use the same strategy you’re using.
Okay if you accept this modified scenario where one expert knows they are much better than the other 9, then this is sufficient as a scenario that nostalgebraist claimed was difficult to imagine. So that’s enough to prove the point I was trying to make.
But the original example works too. It’s just a simultaneous move game. It’ll be won by whichever player is best at playing the game. It’s clearly possible to play the game well, despite the self-reference involved with thinking about how to play better.
Okay if you accept this modified scenario where one expert knows they are much better than the other 9, then this is sufficient as a scenario that nostalgebraist claimed was difficult to imagine. So that’s enough to prove the point I was trying to make.
But the original example works too. It’s just a simultaneous move game. It’ll be won by whichever player is best at playing the game. It’s clearly possible to play the game well, despite the self-reference involved with thinking about how to play better.