In order to make its decision, each strategy is allowed to know the entire history of this match, as well as all previous matches by itself and its opponent
Only the matches between itself and its opponent or all its matches and all its opponent’s matches?
Second the question. The default meaning seems to be the first but the latter is the only one that would make sense as a rule to have if the game is to be at all interesting.
Second the question. The default meaning seems to be the first but the latter is the only one that would make sense as a rule to have if the game is to be at all interesting.