Not to disagree with Carlsen, but it's not like mere mortals don't minimize risk when ahead. The thing is, go AI bots, when ahead, sometimes make moves that seem stupid in the endgame, even to humans who know how to play solidly and conservatively.sorin wrote:It occurred to me that Carlsen's decision to offer a draw in a position where he was ahead, and most chess masters (including Kasparov) thought it doesn't make sense ("why not just play and win the 12th game and be done with it?") - is somehow similar to some seemingly stupid decisions that strong Go AIs makes in yose, when they clearly throw away points when ahead, just to maximize winrate (and win anyway).
I guess Carlsen made his judgement using a "minimize risk at all costs" strategy, just like AlphaGo does, which to "mere mortals" it may look wrong.
Now, human endgame calculations generally assume perfect play, which may be unrealistic. AI winrates assume imperfect play, with mistakes. The question is, which mistakes? The assumption of imperfect play may also be unrealistic.
To give an exaggerated example. Suppose that two shodans are playing an even game. In the endgame the winrate calculations assume that they make 10 kyu mistakes by both players. Playing to maximize such winrates may lead to 5 kyu mistakes. Which may then not only lose points, but may actually put the game in jeopardy against the actual shodan opponent.
To analogize to Carlsen's decision, he may have made his winrate calculations on the assumption that in rapid play he might make 5 kyu mistakes while Caruana would make 10 kyu mistakes.