Actually, the FIDE laws of ches state that one of the players has to claim a draw, same as on this site.
| 9.2 | The game is drawn upon a correct claim by the player having the move, when the same position, for at least the third time (not necessarily by a repetition of moves): | |
| a. | is about to appear, if he first writes his move on his scoresheet and declares to the arbiter his intention to make this move, or | |
| b. | has just appeared, and the player claiming the draw has the move. | |
 
     
     
    
I believe the draw by threefold repetition is broken in the live chess server. Consider the following game.
Three positions within it were identical:
After 36. ...Qc1+
After 38. ...Qc1+
After 42. ...Qc1+
However, the game was not automatically drawn, as 9.2 of the FIDE Laws of Chess states.