Either the white player would win in 100% of matches, or the black player would win 100% of matches. Go rules prevent draws by giving Black a non-integer score

Either the white player would win in 100% of matches, or the black player would win 100% of matches. Go rules prevent draws by giving Black a non-integer score bonus (this is called Komi, http://senseis.xmp.net/?Komi); http://senseis.xmp.net/?Komi); By definition of "perfect play", a Black perfect player either always wins games, or a White perfect player always beats him.