That would be a really fun project! It almost reads like the setup for a homework problem for a class on chaos and nonlinear dynamics. I bet that as the model increasingly takes into account other people’s (supposed?) preferences, you get qualitative breaks in behavior.
Stuff like this is why I come back to postmodernists like Baudrillard and Debord time and time again. These kinds of second- (or Nth-) order “news” are an artifact of the media’s constant and ever-accelerating commodification of reality. They just pile on more and more and more until we struggle to find reality through the sheer weight of its representations.