From a superrational perspective (in the game with no randomness), in both cases there’s two actions; in the correlation game both actions give a util, in the anti-correlation game both actions give no utils. The apparent difference is based on the incoherent counterfactual “what if I say heads and my copy says tails”, which doesn’t translate into the superrational perpective.
The apparent difference is based on the incoherent counterfactual “what if I say heads and my copy says tails”
I don’t need counterfactuals like that to describe the game, only implications. If you say heads and your copy tails, you will get one util, just like how if 1+1=3, the circle can be squared.
The interesting thing here is that superrationality breaks up an equivalence class relative to classical game theory, and peoples intuitions don’t seem to have incorporated this.
From a superrational perspective (in the game with no randomness), in both cases there’s two actions; in the correlation game both actions give a util, in the anti-correlation game both actions give no utils. The apparent difference is based on the incoherent counterfactual “what if I say heads and my copy says tails”, which doesn’t translate into the superrational perpective.
I don’t need counterfactuals like that to describe the game, only implications. If you say heads and your copy tails, you will get one util, just like how if 1+1=3, the circle can be squared.
The interesting thing here is that superrationality breaks up an equivalence class relative to classical game theory, and peoples intuitions don’t seem to have incorporated this.