There seems to be a mirroring pattern in the first three rounds. If my opponent continues to mirror, we'll tie again. If they anticipate I'll choose rock next (to complete the rock-paper-scissors cycle), they might choose paper, which would also result in a tie. If they try to counter by choosing scissors, I'll lose, but if they choose rock thinking I might switch to scissors, I'll win. Given the previous pattern of ties, this seems like a reasonable strategic choice to potentially break the deadlock.