That's what I was talking about. If you both have a king and one other piece, the person who first loses their extra piece only has a king with which to somehow take the other player's non-king piece. Which is why I said that person would have to be pretty bad to manage to lose their extra piece.
Let me give a counterexample, then.
Suppose for example the following.position: White Ke2, pawn h7. black Ka1, pawn b2, black to move.
1 ... b2-b1Q
2. h7-h8Q (checks Black) Qb1-b2 (checks White)
Now White, if he doesn't want to lose his queen next move by Qb2xh8 and end up losing the game, has no choice but to take the black queen, after which Black is forced to take back:
3. Qh8xb2 Ka1xb2
So this is an example where none of both played 'badly' but still ended up KA.
Or do I simply misunderstand what you're saying?
But, going back to the topic at hand, it seems a bit strange that that Stratagem game apparently has no provision in place in case your opponent refuses to play further. Most games (I think) have some rule to the effect that a player who refuses to play further (without having come to an agreement with his opponent) loses the match. Otherwise it would be too simple to avoid a loss by just refusing to continue to play when you're in a hopelessly lost position. But perhaps such provisions are no longer necessary in the 'evolved' 24th century
