Differences in strength up to amateur dan level generally correspond to the level of handicap that would yield an even game between the two players. For instance, it is expected that a 3d player could give 2 handicap stones to a 1d player and win half of his or her games. In contrast, differences in professional ranks are much smaller, perhaps 1/4 to 1/3 of a handicap stone. There are some significant differences in strength between ordinary 9p players and the best players in the world because 9p is the highest rank possible, which may account for this variation.