> that is essentially the same as saying "what I choose causally affects what my opponent chooses". No, it’s the same as saying “what my opponent thinks I will

> that is essentially the same as saying "what I choose causally affects what my opponent chooses". No, it’s the same as saying “what my opponent thinks I will choose causally affects what my opponent chooses”, which is obviously true. Also, “what my opponent thinks I will choose is positively correlated with what I do choose”, unless my opponent isn’t very good.