Interesting how the pattern "rock-paper-scissors" is followed. If this is because of the name, Swedish people, for example, would follow another patterns as they call the game "rock-scissors-paper" (Sten-sax-påse).
That is, if you lose with a rock, you have lost to a paper, hence a paper might start looking like a better option.
I guess, taken all over the world, most permutations show up.