Two Knights vs. One Pawn

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dennis9989

Hi, I am Regis (a.k.a. dennis9989, which Dennis is my dad) and today I want to discuss the Two Knights vs. One Pawn endgame, like this:

Now I always wonder: Is this game a draw, winning for white, or winning for black? 
I once played a similar game with the Level 7 Computer and then there came a Two Knights vs. One Pawn endgame similar to the example above. It was a draw. It says something like 'Draw: By 50-move Rule (Whatever that is).' Could someone explain to me how to see if it is a win, a draw, or a lose (for white)?

Toldsted

It depends on the position of the pawn. The method is to block the pawn with a Knight and then drive the Black King to a corner. The blocking Knight then joins and mates the King witch cannot be stalemate because of the Black Pawn (this is the difference from the drawn endgame with only two Knights). 

redghost101
50 move rule is when 59 moves are played and there is no change in material
Toldsted

Nope, that is possible (the King and Knights are very stong). By corner I here mean e.g. g8 and h8. But maybe you will not have time for the blocking Knight to join the fun because the Black Pawn will Queen first. 

Rocky64

Sometimes it's possible for the 2 Ns to mate, sometimes it's not, depending on how advanced the P is. This blog explains it: Knightmare: The tale of two knights checkmate.

Daarzyn7

How would Chess.Com deal with flagging here? Win for white? (I mean, in these situations, you could simply have some tablebases - if the mate is forcable in 50 moves then win, otherwise draw)

LeeEuler

Looks like Maghsoodloo was just able to complete this mate. Agadmator put out a video on it here.

If interested, I put together a short blog with many other example games a while back: https://www.chess.com/blog/LeeEuler/2-knights-vs-pawn-mate

Would love to get this finish in a game someday. Actually did get the position in a recent rapid game (after giving away a big advantage out of the opening, and an all around blunderfest), but only had 30 seconds left on the clock and had to settle for a draw. Not that I'm confident I would have been able to finish it off with all the time in the world, but still...

 

chessterchief

I played against stockfish as black, it is a draw.

tygxc

https://en.wikipedia.org/wiki/Two_knights_endgame

Win or draw is decided by the Troitsky line.

captainnegi
tygxc wrote:

https://en.wikipedia.org/wiki/Two_knights_endgame

Win or draw is decided by the Troitsky line.yes right

 

betgo

The game posted is a clear win, with the pawn way behind the Troitsky line. Winning in practice is another matter.

I am not sure if engines play this ending well with the knights.