It's difficult to imagine how something like RPS on the computer would allow skill to have an effect. If the game is "rock paper scissors" in the sense that there's 3 options and each is strong against 1 another but doesn't guarantee victory, then you have more options for how to handle it.

On the topic of managing luck-based things, I recommend checking out this;
http://www.redblobgames.com/articles/probability/damage-rolls.html