Parker Brothers is a game company founded in 1883, known for popular board games such as Monopoly, Risk, and Clue. It was acquired by Hasbro in 1991.
The company's logo likely features the ITC Avant Garde Gothic Bold font, with the letter "A" in an alternate form included in the character set. The ITC Avant Garde Gothic family is designed based on the Avant Garde Magazine logo by Herb Lubalin and Tom Carnase. You can view more information and download the font here.