Looking at the pattern so far, my opponent has matched every single one of my moves, resulting in ties. This suggests they might be using a mirroring strategy. If they continue this pattern, they'll play paper again. However, they might anticipate that I'll switch to scissors to beat their expected paper, and thus they might play rock. By choosing paper, I'm preparing for that potential rock play. Additionally, if they truly are just mirroring, we'll tie again, which is better than losing.