perfect play = draw??

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Avatar of pbrocoum
Niven42 wrote:
TheGrobe wrote:

I too suspect it is a draw -- if you consider that K+N vs K or K+B vs K (or even K+N+N vs K) are draws and that they present a much larger imbalance (especially when considered as a percentage of remaining material) than is offered by the first move advantage it seems like it would be hard, impossible really, to leverage that first move advantage into a sufficient imbalance to force the win against a perfect opponent.


 ^^^  Smart man who said that. 


So, the prevailing logic is that even though white is slightly better at the beginning, he isn't slightly better enough to actually win, therefore it's a draw?

Not exactly rock-solid logic, ha ha.

Avatar of philidorposition
Amnesiac wrote:

The only way we could work it out is backwards, all opening theory could be completley wrong if too many assumptions were proved wrong in an ending. Like with checkers we must work retrogradly, backwards. So tablebases so far:

Tablebases have answered longstanding questions about whether certain combinations of material are wins or draws. The following interesting results have emerged:

KBBKN — Bernhard Horwitz and Josef Kling (1851) proposed that Black can draw by entering a defensive fortress, but tablebases demonstrated a general win, with maximum DTC = 66 or 67 and maximum DTM = 78.[31] (Also see pawnless chess endgame.) KNNKP — Alexey Troitsky established this as a win for the knights if the pawn was blocked behind the Troitzky line. Analysis of the tablebases has clarified that even if the pawn has crossed the Troitzky line, White can sometimes win by forcing zugzwang.[32] Maximum DTC = DTM = 115 moves. KNNNNKQ — The knights win in 62.5 percent of positions, with maximum DTM = 85 moves.[33][34] KQRKQR — Despite the equality of material, the player to move wins in 67.74% of positions.[35] The maximum DTC is 92, and the maximum DTM is 117. In both this endgame and KQQKQQ, the first player to check usually wins.[36] KRNKNN and KRBKNN — Friedrich Amelung had analyzed these two endgames in the 1900s.[37] KRNKNN and KRBKNN are won for the strongest side in 78% and 95% of the cases, respectively.[18][38] Stiller's DTC tablebase revealed several lengthy wins in these endgames. The longest win in KRBKNN has a DTC of 223 and a DTM of 238 moves (not shown).  

 

Not exactly clear is it?

Queen and Knight vs 2 Rooks= Draw...but many winning positions

Queen vs 2 Knights= Draw and yet:

Rook and bishop vs 2 Knights is= Win and yet R+N vs 2B is draw

Queen and Bishop vs 2 Rooks= was thought to be drawn but now Win


these are just raw data about some endings I don't care about. Irrelevant for assesing the starting position of the game as equal. To make use of these stats, you need to find a way for white or black (some have claimed black may well have a forced win from the starting position too!) to get into these endings. Good luck with that. Otherwise they're just random information.

Avatar of philidorposition
pbrocoum wrote:
Niven42 wrote:
TheGrobe wrote:

I too suspect it is a draw -- if you consider that K+N vs K or K+B vs K (or even K+N+N vs K) are draws and that they present a much larger imbalance (especially when considered as a percentage of remaining material) than is offered by the first move advantage it seems like it would be hard, impossible really, to leverage that first move advantage into a sufficient imbalance to force the win against a perfect opponent.


 ^^^  Smart man who said that. 


So, the prevailing logic is that even though white is slightly better at the beginning, he isn't slightly better enough to actually win, therefore it's a draw?

Not exactly rock-solid logic, ha ha.


If you can't really make sense of that... Well good luck with life.

Avatar of TheGrobe
tonydal wrote:

As usual with these kinds of things, we see a lot of different shades and spins being put on the term "perfect play"...to the point where it often ceases to be a meaningful dialogue.


Avatar of TheGrobe
pbrocoum wrote:
Niven42 wrote:
TheGrobe wrote:

I too suspect it is a draw -- if you consider that K+N vs K or K+B vs K (or even K+N+N vs K) are draws and that they present a much larger imbalance (especially when considered as a percentage of remaining material) than is offered by the first move advantage it seems like it would be hard, impossible really, to leverage that first move advantage into a sufficient imbalance to force the win against a perfect opponent.


 ^^^  Smart man who said that. 


So, the prevailing logic is that even though white is slightly better at the beginning, he isn't slightly better enough to actually win, therefore it's a draw?

Not exactly rock-solid logic, ha ha.


If I thought it was rock solid I would have used a stronger word than "suspect".

Avatar of Elubas
pbrocoum wrote:

Amnesiac is correct. I cannot fathom that anybody here actually BELIEVES that they know the answer to the question of perfect play, or that they even have any evidence at all. Let's examine some other solved games involving perfect information and an equal playing field, shall we?

In tic-tac-toe, it's a draw. In chopsticks, the second player wins. In connect four, the first player wins. In checkers, it's a draw. In 6x6 Othello, the second player wins. In 5x5 Go, the first player wins. Shall I go on? http://en.wikipedia.org/wiki/Solved_game#Solved_games

Even 3x3 chess is extraordinarily complicated: there are 304,545,552 legal positions! Depending on the starting configuration, it can take 16 moves to force a checkmate. http://kirr.homeunix.org/chess/3x3-chess/

Here's the bottom line. With perfect play, chess will end in one of three ways: either white will force a win, black will force a win, or it will be a draw. There is absolutely, 100%, no way to tell what the outcome truly is. It hasn't been solved yet!


You're trying to use logic, but your argument has no credibility because you obviously rarely play chess! It's obvious to all strong players that white's advantage is going nowhere, even if we can't play 90 moves of perfect play to prove it's drawn. Obviously we can't prove it and there is a possibility, albeit an extremely strong one, that somehow by force white will be able to win a pawn or something and win the game. Anything close to that has never really happened in any high level chess game, if one loses they may not even make any real mistakes, just a bad strategy perhaps. But if just about every move they play is best with the best strategies then it's always a draw in those games.

Avatar of Scarblac
Elubas wrote:

Obviously we can't prove it and there is a possibility, albeit an extremely strong one, that somehow by force white will be able to win a pawn or something and win the game. Anything close to that has never really happened in any high level chess game,


Are you seriously saying that no high level chess game has ever been won straight out of the opening?

Avatar of Elubas
Scarblac wrote:
Elubas wrote:

Obviously we can't prove it and there is a possibility, albeit an extremely strong one, that somehow by force white will be able to win a pawn or something and win the game. Anything close to that has never really happened in any high level chess game,


Are you seriously saying that no high level chess game has ever been won straight out of the opening?


No, but any game won out of the opening even in top level chess involves an outright blunder or big mistake, and when is that ever forced? If anything, the wins will have to be grinded out.

Avatar of Scarblac
Elubas wrote:

No, but any game won out of the opening even in top level chess involves an outright blunder or big mistake, and when is that ever forced? If anything, the wins will have to be grinded out.


Or a strong opening novelty, against which it isn't immediately clear what the best course is.

For instance, last year suddenly 10.e5 against the Najdorf Poisoned Pawn turned out to be extremely dangerous after all after a very strong novelty; it took months before an antidote was found. Quite a few GM level games were lost right out of the opening when it was unclear for months what could be done.

Now that seems to be what always happens, eventually a defence is found, until the next dangerous novelty. But not always -- it could just as well have happened that there was no defence, and the Poisoned Pawn would have been refuted. It's not given in the rules of chess that the Najdorf PP is sound, after all.

And it's conceivable (though of course very unlikely) that there are enough such refutations still unfound that one side can force a win. There are always plenty of opening lines where Black is in trouble; who knows.

I think you make it sound far, far too simplistic -- paraphrasing "high level chess games are always more or less equal after the opening, so chess is a draw".

Avatar of Elubas

Well it is very unlikely that that kind of refutation (and that assesment often changes) will stand forever in every single opening black plays. Also that "refutation" also has to force a win, which it often doesn't. Lines are abandoned most of the time because white can get a big advantage and black must suffer, but it doesn't mean even those positions couldn't be defended if one played perfectly.

Avatar of TheGrobe

If such a forcing move exists without a refutation it seems likely the Black's blunder lies a number of moves back and that the proper prophylaxis is to avoid that line altogether.  The real question at hand is whether such a forcing move exists on move one.

Avatar of Elubas

"You cannot assume that chess is a draw with perfect play just because of your "feelings" or "intuition", or even because of the insubstantial, elementary, barely-scratching-the-surface analysis that has been done in chess so far using computers."

Actually, it's quite reasonable to assume that. Of course the way you describe it all of our studies seem useless. Yes, there are tons and tons and tons of chess positions out there, but the vast majority of them would never happen in games with logical players (because all positions would mean openings like 1 a4 f6 2 Ra2 Na6 3 Ra1). It's not correct just to use math in this case.

Avatar of pbrocoum
Elubas wrote:

You're trying to use logic.


Silly me, trying to use logic to describe chess. Everyone knows that chess is more a game of feelings and emotions than logic.

Whatever.

The reason math is so difficult is that all it takes is ONE counter example to completely blow a theorem out of the water. For example, in 1993 Fermat's Last Theorem had been proven for all primes less than 4 million [1]. Why didn't mathematicians just declare it solved and go on their merry way? Because the first 4 million primes are only 0% of all the primes out there (there are infinity). Fermat's Last Theorem still had to be PROVEN. There might have been a prime number in the hundreds of trillions that would have proved it false.

It's the same thing with chess. Even if 99.999999% of all chess games lead to a draw, if there's even a single forced win in that extra 0.000001% it blows your entire draw theory out of the water. There are something like 10^120 possible chess games, and even if we limit that to only the "reasonable" games and ignore all the stupid openings that are obviously crap, we have still barely scratched the surface with our analysis.

Don't you think it's just a little bit arrogant for you to declare that you KNOW the outcome of chess based on a study of 0.0000000001% of the game?

[1] http://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem#Computational_studies

Avatar of wubowen100

the 2012 thing is pure garbage...

 

i'm saying that although wehite holds an unquestionable advantage, it is very slight and black should be able to draw.

i tried chessmaster vs. itself and black drawed with a rook behind passed pawn..

if it is like that with chessmaster, it should give the same results with perfect play on both sides..(also should be the same result if we have patzer vs. himself.)

Avatar of wubowen100

also, if this gets figured out and we realize every game should end in a draw with perfect play, whic master would want o play anymoore? so it's probably best if this remains undiscussed

 

Smile

Avatar of Niven42

Ooh!  I was hoping someone would bring up the subject of infinity!

 

Just because the number of valid moves in a game of Chess is really huge compared to our understanding of known games, and that the number of moves approaches a number that can be compared to the age of the universe, that doesn't mean it even comes close to being compared to infinity.  Infinity is something that swallows up even the biggest numbers we can imagine.

 

No matter what the sequence of moves in a game might be, as long as move sequences can be regressed to a finite form, there are no real outcomes that result in the game not regressing to one of 3 forms, i.e. winning, losing, or a draw.  And these outcomes, no matter how huge the number of possibilities there are, can be eventually broken down into one of these choices.

 

Essentially, although we suspect that a logical understanding of the analysis would lead to the possibility of finding a choice where the outcome remains undefined, we know that the bounds of the game are fixed and are not infinite.  Therefore, there exists a solvable solution for every position in the game, which, based on the amount of advantage given to either side at the beginning of the game, as long as the initial position does not result in an instant loss, should guarantee that the side in question doesn't lose the game.

 

Really, what we're trying to prove on the converse is that the starting position doesn't lead to white winning every game, which is what perfect play refers to (black forces the draw).

Avatar of TheGrobe

No, simply pairing two equally matched opponents together, no matter how strong, gives you no information about a perfect game.

Avatar of Elubas
pbrocoum wrote:
Elubas wrote:

You're trying to use logic.


Silly me, trying to use logic to describe chess. Everyone knows that chess is more a game of feelings and emotions than logic.


Don't you think it's just a little bit arrogant for you to declare that you KNOW the outcome of chess based on a study of 0.0000000001% of the game?


[1] http://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem#Computational_studies


Hey, I love logic, but I hate how you stopped the quote right there, because after that I said that understanding the actual game is much more reliable than coming up with a huge amount of chess positions.

Arrogant? Not really. I mean it takes some understanding of chess to be confident that it is a draw, but you don't have to be a GM or anything. I didn't say I knew, I implied that I feel very strongly that it is a draw however. That .00000000001 % of the game may well be all of the logical games possible, everything else being worthless. Again, math (and I love math by the way) gets you nowhere here because although there are a huge amount of possible positions, that doesn't mean anything about there actually being a position in EVERY SINGLE opening where by force white gets a decisive advantage. In fact there aren't any reasonable openings EVEN CLOSE to being refuted, at all. Even 1...h5 might be close to refuted, but not necessarily refuted. When it comes down to it, those opening positions are all that matter. From our understanding of chess, we know that when the GM's say a position is roughly even, we know it's pretty damn close to even.

WHAT IT WILL REALLY TAKE TO SHOW BLACK IS LOST IS FOR EVERY BLACK OPENING FOR WHITE TO HAVE A WAY TO GET A DECISIVE ADVANTAGE, AND MAYBE IF YOU PLAYED CHESS MORE YOU WOULD SEE HOW EXTREMELY LOW OF A CHANCE THAT IS. BUT ALL YOU'RE DOING IS GUESSING, AND ASSUMING THIS IS THE SAME THING AS ASTRONOMY. ASTORNOMY IS MUCH HARDER BECAUSE UNLIKE A CHESS BOARD YOU DON'T HAVE THE SOLAR SYSTEM SITTING RIGHT IN FRONT OF YOUR FACE.

Avatar of Elubas

And I'm not saying chess is solved (because that would be required to be 100% sure), but there is an extremely reliable approximation that white can't force a winning position in all openings black might try. It doesn't take just ".000000000001%", it requires that out of nowhere in every single opening, somehow a move or two from white give him a decisive advantage. Yeah, maybe in an awful opening or even 1 bad move. You know, once you start playing chess more, I think you'll realize how astronomically unlikely it is that white is winning. I don't think you can understand why this is until you actually play chess. You're just trying to use math with no understanding of the reasoning the great players have when saying that "chess is a draw".

Avatar of pbrocoum
Elubas wrote:

BUT ALL YOU'RE DOING IS GUESSING, AND ASSUMING THIS IS THE SAME THING AS ASTRONOMY.


 

I think you just insulted astronomers.

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