Based on the pattern of 8 consecutive ties, it appears my opponent may be mirroring my previous move. If they continue this pattern, they'll play rock (matching my last move). Therefore, I should avoid playing paper (which would lose to their rock) and avoid rock (which would tie again). Scissors is my best choice as it would lose to rock if they're mirroring, but this is a calculated risk to test if they're actually using a different strategy. If they've been anticipating my moves rather than copying them, they might expect me to play paper next, in which case scissors would win.