I am studying network formation models and I have seen the separation of those models into two groups (wikipedia):
- Agent-based models:
Aka game-theory based models. This distinction makes sense to me. But it mentions a "fixed number of players". Are there no game theoretic models with a dynamic number of players?
- Dynamic models:
These seem to be the ones not involving game theory. But as the name suggests they are categorized by their dynamic number of nodes.
So where do game theoretic models with a dynamic number of nodes fit? Are they in both classes? Why is the Erdös-Rèny Model considered dynamic? Where does this categorization come from? Why not simply use game-theoretic and non-game-theoretic as a categorization as is implied in the wiki article?