So, whether you like it or not, RPS is a frequent occurence in dialogues in D:OS.
I noticed a few things about it that make me wonder about some of the underlying mechanics, though:
1) No Draw.
In normal RPS, you can have a draw. However, this never happens in D:OS. At all. So what happens there? Is the AI cheating, or is it "merely" re-rolling a draw automatically to speed up the mini-game?
2) Those points you receive on winning
They always stay at 3 for me. I increased charisma, I had dozens of dialogues that gave +something at the end, yet I always get 3 points for each win. I once (!) had an NPC with more points, the woman in the bathtub, which seemed not very inmpressed by my attempt at cool logic upon appearing in her bathroom out of thin air (8 vs 3). But that's it, it's almost always 3 vs 3. What's the use of charisma then?
3) What happens when I choose to skip?
Does it auto-decide based on my chars charisma or rather randomly plays RPS in the background?
4) Is there an AI behind it or is it random?
I think that there is some "AI" playing the game as opposed to your opponent choosing completely at random. It seems that you can kinda steer the AI towards certain moves and anticipate what it will choose. At least I win more often than I lose. Then again that could all be imagination.