There's a simple card "game" out there called War. You take a deck of cards, shuffle it and divide it into two piles. Both players reveal their top card, whoever has the higher card wins the round. This continues until you run out of cards and you see who's won. (There's a wrinkle for ties that isn't relevant here.)
During a game of War, neither player has any choice at all -- their actions are entirely predetermined by the order of the deck.
Is this a game?