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 Post subject: Re: "Snowballing your advantage" in Go?
Post #21 Posted: Sun Jun 21, 2015 2:40 am 
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often wrote:
It doesn't, but it shows that just because you have the advantage does not mean you will have a better statistic chance of winning, especially in the game of Go.


Be interesting to establish whether this opinion, or Bill's reverse position, is actually a fact.

The part that bothers me about your position is that it reduces the game to absurdity. If you can not establish a meaningful lead early on, that you can *usually* maintain to the end, why bother with the opening at all? Why not just slap down your first 50 stones randomly? Your position seems to be that middle game fighting decides the game. Actually, I agree with you on that, which is why the opening is largely, perhaps mostly about positioning yourself to have an advantage in the middle game. This aggregate of firm territory, potential territory and thickness for fighting is what is described as a "lead"

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Post #22 Posted: Sun Jun 21, 2015 7:30 am 
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quantumf wrote:
often wrote:
It doesn't, but it shows that just because you have the advantage does not mean you will have a better statistic chance of winning, especially in the game of Go.


Be interesting to establish whether this opinion, or Bill's reverse position, is actually a fact.


At one point often asked what it meant to take a lead of 10 points in the opening. One way that can happen is by making a small play and taking gote unnecessarily, thus losing a move for only a few points. That's almost as bad as giving an extra handicap stone. As I said, if what often believes is true, rating systems don't work. The advantage of an extra handicap stone, which is worth more than 10 points and less than 30 points, and so falls into the range that he indicates, does carry through more often than not, instead of rarely, as he claims.

As for an advantage not giving you a better chance of winning, that's what advantage means. :)

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Your position seems to be that middle game fighting decides the game. Actually, I agree with you on that, which is why the opening is largely, perhaps mostly about positioning yourself to have an advantage in the middle game.


Excellent point. :)

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 Post subject: Re: "Snowballing your advantage" in Go?
Post #23 Posted: Sat Jun 27, 2015 9:47 am 
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often wrote:
What good is a 10 point lead in the opening if you play a 40 point mistake in the midgame?
It leaves you ahead after the opponent follows it with a 31 point mistake.

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 Post subject: Re: "Snowballing your advantage" in Go?
Post #24 Posted: Sat Jun 27, 2015 12:22 pm 
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quantumf wrote:
Your position seems to be that middle game fighting decides the game. Actually, I agree with you on that, which is why the opening is largely, perhaps mostly about positioning yourself to have an advantage in the middle game.


And if your middle game sucks despite a good opening, what's the point of a good opening advantage?

This statement only proves my position. It still comes down to the middle game, be it from a deficit, advantage, or neutral standing after the opening.

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 Post subject: Re: "Snowballing your advantage" in Go?
Post #25 Posted: Sat Jun 27, 2015 1:19 pm 
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I think this discussion is too generalized, because there are many different types of "opening scenarios" you might encounter.

If black and white play a calm opening, and white made more mistakes than black - maybe black has an advantage, but it might be not that significant.

If the opening involves some large-scale joseki, it's quite possible for one of the players to make a mistake that's almost irrecoverable in a game between two players of the same rank (e.g. taisha or magic sword joseki screw ups).

So I think it's only safe to make specific assessments, such as:
* In this particular game, white's opening was so bad, he's at a serious disadvantage.
* White had a better opening this game, but there's still a lot of chance for black to make a comeback.

---

If we want to go back to generalized statements, I'd say, middle game fighting skill is necessary, but not always sufficient.

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 Post subject: Re: "Snowballing your advantage" in Go?
Post #26 Posted: Sat Jun 27, 2015 1:21 pm 
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often wrote:
It still comes down to the middle game, be it from a deficit, advantage, or neutral standing after the opening.


I personally think the statement is a little extreme, and not always true. But probably true more often than the converse (i.e. if you have to choose middle game skill or opening game skill, I'd think middle game skill will get you more bang for your buck).

Actually, I think there's somewhat of a consensus here: the game is largely decided in the middle game, but the opening gives you either an advantage or a disadvantage going into it.

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 Post subject: Re: "Snowballing your advantage" in Go?
Post #27 Posted: Sun Jun 28, 2015 1:52 pm 
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Often, let's say we pick 200 random KGS 5ks. I then construct a board position after the opening in which black is around 10 points ahead (according to me or Bill or some pro or you or a monte carlo bot or whoever). We then pair up those 200 5ks and get them to play 100 games and record how many black wins. Is your position that the opening is so irrelevant that the answer will follow a binomial distribution with mean 50, in other words the same as if they just played all those 100 games from a blank board? My guessestimate is the mean would be perhaps 55-60. Probably rather similar to if 100 5ks were playing as black against 100 6ks. If we did the same experiment with 200 3ds I expect black would win perhaps a mean of 65 due to the higher skill and consistency of those dan players and their ability to maintain a lead throughout the game and the smaller sizes and frequencies of their blunders. With pros, perhaps 90+?

An aside:
Perhaps I am overestimating my ability (and their weren't really enough 6d+ players to test this theory well), but I feel back when I played on OGS if I had a 10 point lead after the opening you'd need to be a 6d+ to beat me as lots of time means far fewer mistakes and blunders. For example this game below I feel by move 7 white set off down a losing path, and I did not let him leave it for the rest of the game. A poor opening lead to a loss despite his best middlegame efforts. Now perhaps you could say I played a good middlegame too, and better than his, but that good middelgame was built on the foundation of an opening lead. On the other hand I can lose to a 1d even after a 10 point opening lead in a face-to-face tournament game with reasonable time limits like one hour each, though it's quite likely to happen in overtime which one could say is poor time management on my part.



Last edited by Uberdude on Mon Jun 29, 2015 1:43 am, edited 1 time in total.
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 Post subject: Re: "Snowballing your advantage" in Go?
Post #28 Posted: Sun Jun 28, 2015 2:50 pm 
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It's a good point, Uberdude, that the opening might have a more significant effect on the result for higher level players. For pros, it might be very hard to come back from a bad opening, whereas for someone just learning the game - well, anything can happen.

Another argument for studying the opening, which I want to bring up, is that knowing an opening well can be helpful in tournaments.

If we assume that the middle game is the most important part for deciding the game outcome, it might be good to spend a lot of thinking time on that part. If you have 40 minutes of main time, it would be a pity to have only, say 10 minutes, to think during the middle game.

Therefore, if you know the opening very well, you can breeze through that part in a short amount of time, and spend a lot of time thinking on the middle game.

If you don't know the opening well, at higher levels, you either spend too much time on the opening during a tournament, or you are at a disadvantage that you have to push past in the middle game in order to win.

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 Post subject: Re: "Snowballing your advantage" in Go?
Post #29 Posted: Sun Jun 28, 2015 2:56 pm 
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Uberdude, it's really unsporting to be precise about what we mean. This is the sort of argument that only works if you let people make vague generalizations and inconsistent claims.

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 Post subject: Re: "Snowballing your advantage" in Go?
Post #30 Posted: Sun Jun 28, 2015 11:55 pm 
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The original idea often seems to occur for me like this:


The opponent takes territory for thickness

The opponent takes territory for thickness

The opponent takes territory for thickness

The opponent tries to reduce

The thick player isolates the stones and asks the opponent to show their eyes

The opponent tries to reduce

The thick player isolates the stones and asks the opponent to show their eyes

The opponent tries to reduce

The thick player isolates the stones and asks the opponent to show their eyes

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 Post subject: Re: "Snowballing your advantage" in Go?
Post #31 Posted: Mon Jun 29, 2015 1:58 am 
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I think I understand the "snowballing" concept and I don't think it applies to Go.

In Chess for example, an early capture of a piece (say a knight) can be leveraged to capture another piece and so on. At the least one can start an aggressive exchange strategy so that the advantage becomes relatively bigger.

An early advantage in Go cannot be leveraged to continuously increase the advantage. There's no way of stopping the opponent from losing by the margin obtained in the beginning, except for outsmarting him in another battle. Only if the opponent wants to come back, his risk taking can be punished as far as knocking him out.

There are however some tactics that can be applied to harnass the win. One of my favorites is "lose a ko to win the game" http://senseis.xmp.net/?LoseAKoToWinTheGame. Most of these tactics are a variation on the theme of furikawari (exchange). In that sense, they resemble the exchange strategy in chess as described above.

Maybe the closest you can come to the snowballing effect is when you build strong influence, then use it to attack, the outcome being another piece of strong influence, which you again use to attack ... etcetera. It's a chain reaction of sorts but not necessarily one that increases the margin of victory.

I would even say that actively trying to snowball an initial advantage is usually a bad strategy. Top players will rather narrow down the options and accept small local losses to secure the win than trying to knock out the opponent while increasing the risk.

In fact, that's what I like so much about go. There are too many games where an initial advantage can be leveraged and Go is not one of them.

It's a nice image though and an interesting concept to explore.


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 Post subject: Re: "Snowballing your advantage" in Go?
Post #32 Posted: Mon Jun 29, 2015 2:47 am 
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As for the alternative thread (rant) about the importance of the opening, despite the convincing mathematical arguments by Uberdude and others, I sympathize with Often. It is not that I question the statistical effect of a good opening (or komi, for that matter) on the end result. It is because the opening is nearly always the subject of such debate and not other aspects of the game which are equally or more important. Sometimes the arguments to prove the statistical significance of the opening are suggestive to the point that the opening is really very important.

For example, I would like to see the statistical impact of "not resigning": we set up a group of 100 6k players and tell them never to resign. We select 100 6k players who we advise to resign when they think the game is unsurmountably lost. And we filter out those 200 from the overall pool of 6k players. (If we don't have enough 6k, expand to a range, but that's besides the point.)

My guessestimate is that the pool who doesn't resign will on average win at least 5% more games than the pool that does and 10% more than the control group who's blissfully unaware of any experiment. This because the "resign group" will at least count the score and be aware of the chances. The "don't resign" group will win because they give themselves all chances to make the one-but-last blunder.

However, this scientific argument is never explored, not even in thought experiments, because "not resigning" is by far a less popular topic than the opening. Popularity says little about effectiveness though. I think this sort of awareness leads Often to fight a lost battle against the proponents of opening importance.

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 Post subject: Re: "Snowballing your advantage" in Go?
Post #33 Posted: Mon Jun 29, 2015 2:53 am 
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Knotwilg wrote:
As for the alternative thread (rant) about the importance of the opening, despite the convincing mathematical arguments by Uberdude and others, I sympathize with Often. It is not that I question the statistical effect of a good opening (or komi, for that matter) on the end result. It is because the opening is nearly always the subject of such debate and not other aspects of the game which are equally or more important. Sometimes the arguments to prove the statistical significance of the opening are suggestive to the point that the opening is really very important.

For example, I would like to see the statistical impact of "not resigning": we set up a group of 100 6k players and tell them never to resign. We select 100 6k players who we advise to resign when they think the game is unsurmountably lost. And we filter out those 200 from the overall pool of 6k players. (If we don't have enough 6k, expand to a range, but that's besides the point.)

My guessestimate is that the pool who doesn't resign will on average win at least 5% more games than the pool that does and 10% more than the control group who's blissfully unaware of any experiment. This because the "resign group" will at least count the score and be aware of the chances. The "don't resign" group will win because they give themselves all chances to make the one-but-last blunder.

However, this scientific argument is never explored, not even in thought experiments, because "not resigning" is by far a less popular topic than the opening. Popularity says little about effectiveness though. I think this sort of awareness leads Often to fight a lost battle against the proponents of opening importance.

While the group that does resign plays 20% more games and shares way more fun with their fellow Go players. :salute:

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 Post subject: Re: "Snowballing your advantage" in Go?
Post #34 Posted: Mon Jun 29, 2015 2:57 am 
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Quote:
While the group that does resign plays 20% more games and shares way more fun with their fellow Go players. :salute:


THAT I will not deny. If we start a new thread on how to have fun with Go, I can offer a few more suggestions from local breweries.
:salute:


Last edited by Knotwilg on Mon Jun 29, 2015 3:38 am, edited 1 time in total.
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 Post subject: Re: "Snowballing your advantage" in Go?
Post #35 Posted: Mon Jun 29, 2015 3:13 am 
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Knotwilg wrote:
... because "not resigning" is by far a less popular topic than the opening. Popularity says little about effectiveness though.


Well, one of Francis Roads' (a venerable British player) favourite sayings is "no one ever won a game by resigning".

Also I agree with often that the middle-game is more important than the opening in deciding who wins a game of Go*, but to claim as he did that an opening advantage (e.g. of 10 points) has no, rather than a small (55% was my guess) statistical effect on the outcome of the game was quite frankly ludicrous. Perhaps he thought he was arguing against people who thought a 10 point lead meant you would win 99% of the games. Hence why I put some numbers on it, and raised the issue of the dependence on rank of the players and how much thinking time they have.

*But if someone wants to study the opening more because they find it interesting and fun and they value that more than increasing their winning chances that's fine by me.

And yeah I don't think Go is snowbally as Knotwilg said. Controlling the game and preserving an advantage for sure is a style of play for when you are ahead, but trying to increase it can lead to risks and counterpunches.

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 Post subject: Re: "Snowballing your advantage" in Go?
Post #36 Posted: Mon Jun 29, 2015 3:42 am 
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Quote:
Well, one of Francis Roads' (a venerable British player) favourite sayings is "no one ever won a game by resigning".


One of my favorite BGA editors!

Quote:
Also I agree with often that the middle-game is more important than the opening in deciding who wins a game of Go*, but to claim as he did that an opening advantage (e.g. of 10 points) has no, rather than a small (55% was my guess) statistical effect on the outcome of the game was quite frankly ludicrous. Perhaps he thought he was arguing against people who thought a 10 point lead meant you would win 99% of the games. Hence why I put some numbers on it, and raised the issue of the dependence on rank of the players and how much thinking time they have.


You've laid it out very convincingly.

Quote:
*But if someone wants to study the opening more because they find it interesting and fun and they value that more than increasing their winning chances that's fine by me.


"This" as it seems to be the hype to say online these days. However, when I suggest not resigning as a way to have more fun, it meets with less sympathy it seems :)

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 Post subject: Re: "Snowballing your advantage" in Go?
Post #37 Posted: Mon Jun 29, 2015 6:48 am 
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Knotwilg wrote:
For example, I would like to see the statistical impact of "not resigning": we set up a group of 100 6k players and tell them never to resign. We select 100 6k players who we advise to resign when they think the game is unsurmountably lost. And we filter out those 200 from the overall pool of 6k players. (If we don't have enough 6k, expand to a range, but that's besides the point.)

My guessestimate is that the pool who doesn't resign will on average win at least 5% more games than the pool that does and 10% more than the control group who's blissfully unaware of any experiment. This because the "resign group" will at least count the score and be aware of the chances. The "don't resign" group will win because they give themselves all chances to make the one-but-last blunder.



As you know, I advise DDKs to never resign. And to fill all the dame during play. There are too many chances to reverse the game at the end. By the time they reach 6 kyu, however, they have only about a 1% chance to reverse an even game at the dame stage, and they will mostly miss it. How often the never resign group can win from a position that they would otherwise resign depends on what those positions are. I don't know, but my guesstimate for reversals is at most half that of yours.

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 Post subject: Re: "Snowballing your advantage" in Go?
Post #38 Posted: Mon Jun 29, 2015 7:02 am 
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Okay, I've gotta wonder, now...

Take 100 6k players and have them join arguments on L19, and take another 100 6k players, and tell them to refrain... What will the results be?

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 Post subject: Re: "Snowballing your advantage" in Go?
Post #39 Posted: Mon Jun 29, 2015 8:01 am 
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Bill Spight wrote:
(...) By the time they reach 6 kyu, however, they have only about a 1% chance to reverse an even game at the dame stage, and they will mostly miss it. How often the never resign group can win from a position that they would otherwise resign depends on what those positions are. I don't know, but my guesstimate for reversals is at most half that of yours.


Let me do this: I'll take a random set resigned games in the 6k-1d range and do a positional judgment
- what's the distribution of the margin
- how many games were not yet in the endgame stage

If we agree that good endgame, let alone blunders, can swing a game as many as 15 points, then I'm quite positive we'll find a high percentage of resigned games that could have been turned around. I have only anecdotal evidence but there a quite a few games where I was surprised to see my opponent resign and the ones I turned around since I've become more conservative in resigning are not negligible either.

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 Post subject: Re: "Snowballing your advantage" in Go?
Post #40 Posted: Mon Jun 29, 2015 8:47 am 
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Knotwilg wrote:
Bill Spight wrote:
(...) By the time they reach 6 kyu, however, they have only about a 1% chance to reverse an even game at the dame stage, and they will mostly miss it. How often the never resign group can win from a position that they would otherwise resign depends on what those positions are. I don't know, but my guesstimate for reversals is at most half that of yours.


Let me do this: I'll take a random set resigned games in the 6k-1d range and do a positional judgment
- what's the distribution of the margin
- how many games were not yet in the endgame stage

If we agree that good endgame, let alone blunders, can swing a game as many as 15 points, then I'm quite positive we'll find a high percentage of resigned games that could have been turned around. I have only anecdotal evidence but there a quite a few games where I was surprised to see my opponent resign and the ones I turned around since I've become more conservative in resigning are not negligible either.


Oh, I think that a goodly percentage of 6k vs. 6k games that are resigned could have been turned around. If you replace the resigner by a shodan. The main reason for my lower guesstimate for reversals is that I don't think that the average 6 kyu could manage to reverse many of those resigned games.

I will say, however, that a 6 kyu who fights to the end will have a better chance of reversing than the average 6 kyu. A lot of kyu players think that the endgame is just about points.

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