>>13433590
Cowboys and Indians is not a game, it is play. It has no rules and boundries. It is no more a game than a doll is a game.
CGoL is a mathematical game. Closer, but a not a game in the sense you mean. It's a game in the sense of game formalism, the philosophy of math that maintains that math and numbers don't represent anything in the world, but are just a game we play with symbols according to the rules of a formal system that we occasionally may find useful (or not) applications to the real world.
So no, those are not games in this context.