(Re: perfect game of chess with 16 moves)…
(#1)
You didn't answer my question: In a theoretically drawn position, is White's goal to make the game as long as possible, as short as possible, or as difficult as possible for Black to defend (according to some formal definition of "difficult")? Unless your definition of perfect play is clarified, the question you're trying to ask remains ill-defined...
(#2)
Depending on how you choose your definitions, a game in which White offers a draw (on the first move) and Black accepts may be considered either (1) not a valid perfect game, (2) a valid perfect game, or (3) the only valid perfect game.
(#3)
There are also several formal settings where, in the context of provably perfect play, the 50 move rule is simply ignored altogether (for example, when constructing endgame tablebases, composing/evaluating endgame studies, and adjudicating ICCF games). This is because it is a practical tournament rule that has been revised multiple times over the past century, and is not a natural termination condition due to its effect on many otherwise winning/losing positions. Bottom line: you need to directly address the 50 move rule, one way or the other; if you don't, your question will continue to have more than one interpretation.
Finally, depending on your choice of conventions, a perfect game featuring a 4-fold or 5-fold repetition may or may not be possible, since it may or may not be guaranteed that one of the players will claim a draw as soon as a 3-fold repetition occurs. So, once again, your question is still ambiguous, and that won't change until you make some decisions.
Re #1:
White has latitude to play as he/she chooses. Black does too. The players are not aware of their opponent's infallibility, so even if the game becomes a theoretical draw, White and Black both continue to play to win. Players will often have a choice of moves, and this should be considered as a degree of freedom in the interest of seeking one or more perfect games that end in 16 moves.
Re #2:
Both players are not aware of their opponent's infallibility. So offering a draw when there is a chance to win or draw is not a perfect game. A player should only offer a draw if the player can only draw or lose.
Re #3:
The 50 move rule and three-fold repetition apply (one assumption that can be used). But in my view, anyone is free to choose their own assumptions and see if a proof can be formulated as to why such a game does or does not exist. Claude Shannon, Victor Allis, and others have studied chess even when others didn't pose formal problems. No need to wait for someone to formally pose a problem.![]()
Translation of all of the above: you're a pedantic tool. Shoo. Not worth the time...
It's my opinion, based on my systems/computer background, but I sure as heck don't need to shore it up for the likes of you...
I don't have time to play some little ego game with you...
This wasn't the best choice of exit strategy...
See posts:
In the last example given above, you responded to a comment that was already buried under ~3 pages of wholly unrelated material. To be honest, I was quite surprised that you even took the time to find and read that comment; the fact that you then went on to post a lengthy reply to it is rather telling.
As for a forced win from the starting position, I am already and always have been of the opinion that chess is more likely to be proven a draw than a forced win. Oh, you assumed otherwise? Time to do your own homework, I guess...like your assumption of my claiming 4000 rating, it's just in your head, so don't expect to find anything...
For starters:
^ (see post #7980 at https://www.chess.com/forum/view/general/will-computers-ever-solve-chess?page=399)
It's too bad you were unable to back up this bold prediction of yours, once it was put to the test by actual research. Just to be clear: ~2800 + 1200 = ~4000, for those who do not understand how basic arithmetic works. Moving on...
I do not agree that chess is a forced draw or even very likely a forced draw. What I do believe is that engines built on human evaluation factors and using human opening books play chess like blunder-proof, fast-calculating humans. That is, entirely flawed chess with flawed valuations.
Alpha Zero, Leela, the new Komodo just announced, et al are the next level. They will evolve to destroy human beings in chess without learning any of our biases...so much so that Carlsen himself won't be able to commentate or even speculate credibly at TCEC engine play another decade or two down the line. Human beings will cease to keep up.
^ (see post #6476 at https://www.chess.com/forum/view/general/will-computers-ever-solve-chess?page=324)
I won't even bother explaining how strong the implication of 4000-rated engines (in the near future, no less!) is in the above quotation. Instead, I'll simply point out that the highlighted sentence states in no uncertain terms that chess is not very likely to be a theoretically drawn game, in your (completely indefensible, as I've shown) opinion.
Oh, and as for "beating people over the head" with your purely speculative musings, here's a random sample of misinformation and condescending insults you've berated us with over the last 100+ pages: