Well, yes, that's kind of the conclusion I was going for. To generalize further, it's possible that a rock-paper-scissors-lizard-spock situation could result,

Well, yes, that's kind of the conclusion I was going for. To generalize further, it's possible that a rock-paper-scissors-lizard-spock situation could result, with an arbitrary length of A beats B, B beats C, C beats D....ZZZ beats A. Then we potentially look for something akin to a universal Turing machine: an algorithm that is capable of beating any other algorithm no matter what their strategy, perhaps(?) by simulating the algorithm that beats them.