I really liked this game, but it frustrates me a little bit that there only seems to be one way to win. Or at least I've only found one. If I play the hardest AI, I can consistently win, with the right sequence, but it always ends up on the right side with the hares next to each other.

Is it like chess only way more obvious, that the first mover wins, and if so, wouldn't the Romans have figured it out?

Or am I just exploiting a weakness in the AI and a human would make better choices?