See Wikipedia for a VERY long history of this game.
Rock > Scissors
Scissors > Paper
Paper > Rock
[a circular triad] [nonlinearity] [recursion]
The great thing about this game is that you can win if you can read nonrandom tendencies in your opponent.
Strategies for Winning at R-P-S
Robots play R-P-S and never lose
Winning at R-P-S: Neuroscience
Population Dynamics Predicted from R-P-S Model (Fractal-Like Shapes)
More coming. I might get a bigger rock to try to force life to be flat (linear). Of course the paper trumps the rock because the paper can assume a nonlinear form.
Or a thicker piece of paper that can withstand scissors but still be flexible.
Or a sharper (smarter) pair of scissors that can cut rock.
Or just try to read the opponent.