diff --git a/tron/game.py b/tron/game.py
index 27c65db..156aaa9 100644
--- a/tron/game.py
+++ b/tron/game.py
@@ -187,14 +187,21 @@ class Game:
 
             self.next_frame(window)
 
-            for (index, pp) in enumerate(self.pps):
+            for pp in self.pps:
                 if pp.alive:
                     alive_count += 1
-                    alive = index
+                    alive = pp.id
 
             if alive_count <= 1:
                 if alive_count == 1:
-                    self.winner = alive + 1
+                   # If player one and two share the same position, it will
+                   # mean that they reached the same tile at the same
+                   # moment, so it's really a draw.
+                    if self.pps[0].position[0] != self.pps[1].position[0] or \
+                       self.pps[0].position[1] != self.pps[1].position[1]:
+
+                       # Otherwise, the winner is the player that is still alive.
+                       self.winner = alive
                 break
 
             if window: