Given the context, I was assuming the scenario being discussed was one where the two players’ decisions are independent, and where no one expects they may be playing against themselves.
You’re right that the game changes if a player thinks that their choice influences (or, arguably, predicts) their opponent’s choice.
Given the context, I was assuming the scenario being discussed was one where the two players’ decisions are independent, and where no one expects they may be playing against themselves.
You’re right that the game changes if a player thinks that their choice influences (or, arguably, predicts) their opponent’s choice.