CPM Whack-a-Mole
There is a game that used to be popular in arcades called “Whack-a-mole”. The game was pretty simple in concept, you have an enormous (soft) hammer, and there are 7 or 8 moles (small rodents) that popped up one at a time and you had to hit them. As you hit one, another popped up. So you never actually solved your fake rodent problem - as soon as you solved the one, another popped up.