The simplest example would be probably some kind of blockade.
Here both players can have an easy draw (at least if they know where are the pawns and that the king is on the other side of pawns), so neither player can't win.
Are there any Solved FOW endgames in which neither player is guaranteed a win?
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urojony wrote:
The simplest example would be probably some kind of blockade. Here both players can have an easy draw (at least if they know where are the pawns and that the king is on the other side of pawns), so neither player can't win.
Thanks for the response. I should have clarified that I'm looking for an endgame in which both players have a >0% chance of winning with best play from both sides.
An example would be most K+R vs K+R endgames, or K+R+P vs R+R+P. If I'm not mistaken, best play in these positions would generally involve trying to capture the opponent's king (rather than playing passively resulting in a draw in all cases). The problem is that I don't know with what probability these positions are winning for each player with best play (I imagine the exact probabilities depends on the exact initial setup).
Another potential example is K+R vs K+N. I assume the side with the rook is favored for most initial setups, but it's definitely not guaranteed and I don't know how to calculate the exact win percentage.
Another completely drawn endgame:
Regarding winning percentages, I don't think it's possible to calculate theoretically. One would need to run simulations, but in that case we need a FoW AI in the first place
You're both right that there are lots of possible drawn endgames. I suppose the real question I was curious about was actually: Are there any Solved FOW endgames in which the average expected score for White is not 0, 0.5, or 1 with best play from both sides?
I solved a non-simple FoW endgame in which black wins 75% of the time, here: https://www.chess.com/clubs/forum/view/66-66-solved-endgame
I realized that trying to determine best play even in simple endgames is very difficult. While it's easy to tell when one side has a forced win, I've yet to calculate the win-percentage-with-best-play of a side in an endgame in which neither side can force a victory.
Does anyone have any examples of this?