TV Arcade Series: Tag on the RCA Studio 2

It is a two player game where each player controls a square on an otherwise empty screen. The player whose square hasn't got a dot on it has to chase the other player.

After he has accomplished that (or after ten seconds if he doesn't succeed) he gets the dot and becomes chased by the other player. The game lasts for two minutes and the player with most points will win. Each catch is worth ten points.