Because the winner in Golf is determined by the smaller number of strokes a player needs to putt the ball, ties are very frequent between top players.
When you and your opponent score the same points in the game you get to play a tie breaker.
The player that is able to get the ball closer to the hole wins the tie-breaker.
Ultimate Golf only displays the distance between the ball and the hole up to two decimals. Nevertheless, it accurately measures the distance and determines the winner even if the display score is the same.