I always thought a rock paper scissors game should be a dapp, that way you do not have to really put it all on a website, you could just make it decentralized and that way you could have two people gambling without having a centralized system. Sure the dapp could still make money from it, after all why would anyone work tirelessly just to get nothing in return, obviously there has to be some profits.
You would still need a centralized match making system. Not sure how a house player would be created without a centralized server. Interesting suggestion though, people seem to like token pre-sales.