The cup game refers to the age old activity of getting 3 cup-like objects, placing something valuable underneath one of them, shuffling all three cups around, and then prompting another player to guess which cup the item is under. Dogs can learn to play too - we just suggest making the "valuable" prize a treat they like or even one of their toys.
Staying in line with the trend of brain games, you may want to consider introducing your dog to a dog chess board. This version of the game has been specifically catered to dogs as there are fewer but much larger pieces and the goal of the game is different - rather than trying to capture an opponent's king, your dog will try to remove all of the pieces on the board in sequence so that they can reach a yummy treat inside.
Bassadors don't just have a great sense of smell and solid athleticism; these dogs can also learn how to participate in a number of games that are designed to test their memories and problem solving skills. These "brain games" come in a number of forms and ring stacking activities are one of them. Your dog simply needs to grab hold of a ring with their teeth so that they can lift them off of a pole and plant them down one by one. The not so simple part is doing that in the right order.