If the only pieces left on the board are the two kings and a knight, is it ever possible to force check mate? I mean, if the bare king avoids the edges and stays close to the opponent's knight, I don't see how the game can ever end. I was in this situation for more than half an hour yesterday and we were forced to draw.
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6http://chess.stackexchange.com/questions/1239/is-it-possible-to-checkmate-with-knight-and-king-against-king – GloriaVictis Dec 26 '15 at 09:06
2 Answers
No, it is not possible.
The knight simply does not cover enough space to checkmate the black king. When a position with insufficient material to checkmate occurs, a draw by insufficient material is declared.
Draw by insufficient material is declared when, and only when:
K vs K
K + N vs K
K + B vs K
Technically, a king and 2 knights versus a lone king can still result in checkmate. However, here the black king has to be dumb enough to cooperate and go into a corner and be checkmated. And so it is usually declared a draw by insufficient material.

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I think in the OP's scenario, a helpmate would be possible. If White has a king at h8 and knight at f5, and Black has a king at f7, and knight at h4 (a position the players could easily cooperate to achieve), that would allow 1. Nh7 Ng6++ – supercat Dec 11 '18 at 18:02
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Ooops.. I misread the question as both players having a king and knight each, which is an interesting scenario. – supercat Dec 11 '18 at 18:02
No, it is not possible to checkmate with a lone knight (K+N vs K). However, Add another Bishop and you'll be able to Checkmate (K+N+B vs K)
There is a rule in Chess which goes like this "No Mating material = Draw"
So:
K vs K = Draw
K+N Vs K = Draw
K+B Vs K = Draw

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