2 person adversarial games with hidden information (eg poker or RPS) exhibit a "Nash equilibrium in mixed strategies". That is, the best strategy involves a random selection between choices with some probability weights. Since RPS is a very simple game, the weights are equal, so the unbeatable strategy is to choose between rock, paper and scissors with uniform probability on each round taking no account of what you or the other player have played before. Any other strategy can be exploited to the extent it deviates from pure uniform random choice (eg trivially the classic "play the thing that would have beat the thing which beat the winner of the previous round" strategy in RPS which you can use to reliably destroy children at the game).
Games with complete information (eg noughts and crosses, chess, go etc) have "pure strategies" (ie randomness is not required and there should always be an absolute best move in any given situation which you should pick 100% of the time).
Here's an intro to the concept of Nash equilibrium in mixed strategies http://www.econport.org/content/handbook/gametheory/useful/e...
Edit: In case it's not clear, the hidden information in RPS is the opponent's move. Whereas in chess you are either starting the game or you know what the opponent has done, in RPS you move simultaneously with the opponent, so don't know their move.