Yes, for example no limit Rock Paper Scissors where you bet an arbitrary amount and your opponent might call or fold is a game that: 1)has infinitely many lega

Yes, for example no limit Rock Paper Scissors where you bet an arbitrary amount and your opponent might call or fold is a game that: 1)has infinitely many legal states/positions 2)imperfect information (another argument often used to argue that game is more complex) And is: 3)dead simple to play optimally It's also easy to design a board game with arbitrary number of legal positions that is dead simple to play optimally.