This episode was one of three episodes to be remade for Twilight Zone: The Movie (1983). The relevant segment was directed by Steven Spielberg.
The title refers to a children's game related to tag, hide and seek, and capture the flag which can be played outdoors, with as many as three to a few dozen players. The game is one of skill, strategy, and stealth as well as fleetness.
Mr. Cox (John Marley) the Superintendent mentioned that he was 43 years old. At the time of filming, John Marley was 55 years old.