What was the name of the game you played in the Northeast when you were a child?

When I was a child in the northeast, I played the game of running and chasing, right?

The person who lost his handkerchief ran around the circle and secretly put it away ... If the lost person found it, he could chase it with a handkerchief in his hand. If the lost person was caught up, he gave up and was sent out of the program. If the lost person doesn't notice, the lost handkerchief runs back to his back, the lost handkerchief gives up and the former takes his seat. The lost handkerchief is not only punished procedurally, but also regarded as a lost handkerchief.