The idea was not executed very well, what I mean is that there was no penaty for example by throwing 3 rocks over a paper, so there was no risk and there was no patterns to look at.
Also keep in mind that rock paper scissor is more like a phychology game and pattern maching game, this means that it is played better with a real oponent that you can look and "measure" and learn how he plays.
This means that if you create a rock paper scissor game it will be wise to create and some avatars for the oponents so the player can look at, that will change acording to the result and the rest of the cards in hand and play in aptterns. This way the player will be able to match the reaction with a pattern and guess the next move.
If you just throw random encounters the game will become just this, random (By the way this is a good strategy for inexpirienced players). This kind of randomness will never give to the player the feeling of a achivement and of progression (this is something very bad for a game), leaving him with just luck and no skills.
But all this apply just to the rock paper scissor, you addition makes the things even harder to balance the player's expirience.