Based on the pattern so far, my opponent has played rock and then scissors. After our tie with scissors in round 2, they might anticipate I'll continue cycling through options and play paper next. To counter this, I'll play rock, which would beat their potential scissors play. Additionally, if they're analyzing my previous moves (paper, then scissors), they might expect me to complete the cycle with rock, and prepare a counter with paper - but they may overthink and try to be one step ahead by playing scissors, which my rock would beat.