Here is my idea for the Rock Paper Scissors Logo.
I don't know much about the game, just what 
Our friends at Pacatum Inc. have asked us to help them come up with a logo for their Rock, Paper, Scissors peer-to-peer tournament app they are releasing for @Peerplays in a few weeks.
I thought I would give you also some colour variations of the same design. Personally I like the lighter colours but I can adapt it to match what you would like.
Finally I included the name next to it if this is what you are looking for
Let me know what you think! I love learning what people do and don't like with my designs.
Edit: I can provide high quality images, transparent backgrounds and original files if you request it. These designs are all my own work.
Edit #2: Another variation I thought about: