@Elroch it is a mistake to think that because a classification of errors seems to be 'complete' that it is therefore 'adequate'.
That doesn't follow.
Respectfully - I think you've got this 'wrong'.
With all due respect, it is your incomplete understanding that is the problem!
@MARattigan pointed out the practically important fact that playing game theoretically optimal moves in basic chess does not ensure that you achieve the optimum result. The reason for this is that in basic chess there exist infinite games where the theoretical results stays as a win, but the player with the advantage never wins. He exhibited a simple example of this.
In essence, the problem occurs because the quality criterion for positions does not take into account how many moves it takes to win a position.
I pointed out that there is a strictly stronger partial order on positions (and thus on moves in a position) that values the distance to a result with optimal play (in the stronger sense of trying to win fast and trying to lose slowly), and that using this criterion for comparing moves means that playing optimal moves reaches the optimal result when it is a win (in a drawn position, there is no need. Without rules like 3-fold repetition or a 50 move rule, most draws have to be by agreement, since forcing a stalemate is not usually possible).
I also noted that where there are rules that make it possible, optimality can be further extended to drawing positions - the most obvious refinement is force a drawing rule trigger in as few moves as possible.
'Words and concepts' versus 'math and computer math and logic and logic math'.
The two groups of things constantly collide in this subject of Chess Not Solved.
But that Collission pertains to many other things too. Even in law.
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@Elroch it is a mistake to think that because a classification of errors seems to be 'complete' that it is therefore 'adequate'.
That doesn't follow.
Respectfully - I think you've got this 'wrong'.
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And the result is Advantage to tygxc.
He'll exploit other people's terms too.
Like 'game-theoretic value'.
Another booby-trap semantic in a huge minefield of such booby-traps.
Idea: keep it generic. 'game-theoretic value' is brand-name.
Its like a science person using the word 'believe' in a roomful of science deniers.
Causing them to yell 'enemy on periscope. battle stations!'