[QUOTE=Aesah;57166998]Ya there are no are mixed strategies unless its like "ok if i choose option A, its a draw, and if i choose option B, its a draw" and the computer random picks one in that case
If I open 50% 1.d4, and 50% 1.e4, that's a mixed strategy. In higher level chess where your games are public and players prep against you, it becomes important not to play a predictable opening.
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Originally Posted by Yeodan
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From what I understand there are hundreds if not thousands of openings available to the currently top rated human players.
I'd imagine at least a few of those, if not quite a lot, would be capable of forcing a win with white in a GTO match.
It's easy to decimate players that are much worse than you at chess. Check out this lichess
skill distribution graph. A player that's 400 points higher than their opponent will statistically win 90% of the time.
Quote:
Originally Posted by plexiq
There's no "higher EV" in chess GTO in that sense, it's purely deterministic. Any given position either results in a win, a loss or a draw for white if both players play perfectly from that point forward. It's just one single outcome 100% of the time.
If there is any opening that can force a win with white then all openings that can force a win with white (against a perfect opponent) are also GTO and any mixture of these openings is also GTO.
Chess moves definitely have an expected value. Here's what it looks like:
The numbers in the top right represent the computer's evaluation of different moves, given perfect play, as an expected value. 1 point is roughly equal to a 1 pawn advantage.
The win probabilities at the bottom are based on a library of human games, not computer games, so it's more exploitative.
Lastly, to put things into perspective, a chess computer on my phone will beat the world champion 99/100 times, even though the evaluation is more or less just a 28 ply guesstimate.
Last edited by tombos21; 06-23-2021 at 10:57 PM.