I complain often when the rules state one thing and the game is implemented differently. But that's not the case here. read the rules, section Round End :

A round ends when one player plays the final bone in his or her hand, or when the boneyard is empty and no player has a valid play. At that time, the player with the fewest points on the bones in his or her hand is the winner of the round. That player scores one point.

The only thing wrong here is that it doesn't say what happens when both players have the same number of points. Giving both a point is more logical since this game can be played by more than 2, but the rules should say so.