I've always liked clicker games, and there is a very long-running instance of Cookie Clicker running in my browser at home right now. The thing that interests me in them seems to have only been tangentially touched upon, though. The mathematical tapestries that get overlaid on one another, that's what I find interesting. What is the optimal strategy to build cookie production fastest? Do you wait and save for the next available cookie production method? Or do you just purchase everything you can? Exactly how many of the lower level production means can you buy before the cost per additional cookie produced is less than if you'd purchased one of the more expensive options? If your goal is to build the cookie production as efficiently as possible, the thought and calculation necessary to figure it out is quite significant. And when you add in differing yield curves with the various upgrades and boosts and bonuses and whatnot... it gets very large.
Having humans being the ones playing Universal Paperclips is a very interesting phenomenon, though. What does it say about us that as we fear a paperclip automaton annihilating us, we find it irresistable just to see some numbers get bigger? Would anyone NEED to build a complex AI in order to get us to annihilate ourselves? Would calling it Universal Banknotes make it clearer?