A Brilliant idea!
Why not have an "energy" system like most free to play games? Each game costs one energy, and when you run out, you can't play until hours later unless we buy a recharge. You make money, and have to do less work. We're going to play your game anyway, so you might as well monetize us just playing it. ... ... ... I'm kidding. Thanks for not being that kind of game.
EDIT: If you downvote, is it because you didn't read the entire thing, or is it because you WANT a system like this?