After a tie with both of us choosing rock in the first round, there's a tendency for players to either stick with their previous choice (thinking the opponent will change) or switch to paper (which would beat the previous round's rock). Since my opponent might either stay with rock or anticipate my change and choose scissors, I'm selecting paper as it would win against rock. This is a calculated risk based on common Rock Paper Scissors psychology where players often don't make dramatic shifts from rock directly to scissors after a tie.