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 Post subject: Re: If God played Go, where would He play Black's first move
Post #21 Posted: Wed Dec 31, 2014 11:32 am 
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Alcadeias wrote:
If God played Go, always playing the optimal moves (i.e. the moves which would lead to the greatest winning margin if his opponent also plays optimal moves)...


In Go, playing optimal moves does not equate to playing the moves that would lead to the greatest winning margin. It is a zero-sum game, where a win by several points is equivalent to a win by 1/2 point. Under this premise, for a given value of komi, I'd assume that there are several first moves that lead to the same result, but it would be dependent upon komi. Eg., for a large enough value of komi, all first moves would be equivalent - leading to a loss for black.

Assuming that fair komi is around 6.5 or 7.5 points, my most educated guess would be that a black play at the 3-4 or 4-4 would be the move. This is simply based on the observation that many pros play this way today under these komi constraints, with similar win ratio between black and white. Pros are not gods, but to guess a different first move would seem to suggest that I am closer to understanding optimal strategy than pros themselves.

Now, given your question as stated, trying to win by the greatest margin (which I don't think is the same thing as go), I would guess that God would play according to the person, since he would know how the opponent would play, and therefore, could annihilate each opponent according to their own weakness.

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Post #22 Posted: Wed Dec 31, 2014 12:47 pm 
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  • "greatest winning margin": does this mean the final score of the game?
  • Quote:
    since he would know how the opponent would play, and therefore, could annihilate each opponent according to their own weakness.
    But such an entity would know the entire finite game tree, so would simply pick the correct next move; the opponent's strengths and weaknesses are irrelevant.
  • Such an entity would also know the result beforehand.
  • If such an entity plays against itself, who would win? Same question as solving Go?


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Post #23 Posted: Wed Dec 31, 2014 2:13 pm 
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EdLee wrote:

  • Quote:
    since he would know how the opponent would play, and therefore, could annihilate each opponent according to their own weakness.
    But such an entity would know the entire finite game tree, so would simply pick the correct next move; the opponent's strengths and weaknesses are irrelevant.



What I mean is that if, as the OP seems to suggest, optimal play is winning by the greatest margin - the greatest number of points, then you can gain more points by playing the incorrect move, sometimes (eg. overplays).

For example, if the opponent is 30k, and doesn't know how to protect after atari of his big group, and if God knows this, he can play the atari even if it's not the best move on the board. That's because it would create a "greater margin" in the difference in score.

OTOH, I see that the OP also said that the opponent would "play optimally as well", so I guess this wouldn't fit the scenario that I was trying to (somewhat jokingly) point out.

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Post #24 Posted: Fri Jan 02, 2015 9:33 am 
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Kirby wrote:
EdLee wrote:

  • Quote:
    since he would know how the opponent would play, and therefore, could annihilate each opponent according to their own weakness.
    But such an entity would know the entire finite game tree, so would simply pick the correct next move; the opponent's strengths and weaknesses are irrelevant.



What I mean is that if, as the OP seems to suggest, optimal play is winning by the greatest margin - the greatest number of points, then you can gain more points by playing the incorrect move, sometimes (eg. overplays).

For example, if the opponent is 30k, and doesn't know how to protect after atari of his big group, and if God knows this, he can play the atari even if it's not the best move on the board. That's because it would create a "greater margin" in the difference in score.

OTOH, I see that the OP also said that the opponent would "play optimally as well", so I guess this wouldn't fit the scenario that I was trying to (somewhat jokingly) point out.



The way this distinction is usually made in these sorts of discussions is the "God of go" vs. the "Devil of go". The "God of go" being the one who plays the optimum move assuming we overcome our faults and find the perfect response, while the "Devil of go" plays into our weaknesses.

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 Post subject: Re: If God played Go, where would He play Black's first move
Post #25 Posted: Fri Jan 02, 2015 10:09 am 
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Mef wrote:
The way this distinction is usually made in these sorts of discussions is the "God of go" vs. the "Devil of go". The "God of go" being the one who plays the optimum move assuming we overcome our faults and find the perfect response, while the "Devil of go" plays into our weaknesses.


Thanks, I wasn't familiar with the reference. In any case, assuming we're discussing the "God of go" and not the "Devil of go", and assuming that optimal play means anything to win the game, I suspect there are several first moves that would work equally well.

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 Post subject: Re: If God played Go, where would He play Black's first move
Post #26 Posted: Fri Jan 23, 2015 4:37 am 
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Which move would the devil play?

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 Post subject: Re: If God played Go, where would He play Black's first move
Post #27 Posted: Fri Jan 23, 2015 5:48 am 
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Matti wrote:
Which move would the devil play?


Same thing. God and the devil are two manifestations of the same entity.

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 Post subject: Re: If God played Go, where would He play Black's first move
Post #28 Posted: Fri Jan 23, 2015 10:18 am 
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DrStraw wrote:
Matti wrote:
Which move would the devil play?


Same thing. God and the devil are two manifestations of the same entity.


Well, this is also what I think, but that leads to so may other questions...
but that entity will play at tengen, so you know... but all the other posibilities are just manifestations of the same position anyway ;)...

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 Post subject: Re: If God played Go, where would He play Black's first move
Post #29 Posted: Mon Jan 26, 2015 6:44 am 
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DrStraw wrote:
Matti wrote:
Which move would the devil play?


Same thing. God and the devil are two manifestations of the same entity.


For the first move...perhaps - but the devil would soon resort to hamete...

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 Post subject: Re: If God played Go, where would He play Black's first move
Post #30 Posted: Mon Jan 26, 2015 7:20 am 
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Matti wrote:
Which move would the devil play?

Obviously the devil would cheat.

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 Post subject: Re: If God played Go, where would He play Black's first move
Post #31 Posted: Mon Jan 26, 2015 7:28 am 
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Of course, an interesting related question to "where would god play the first move" is the question "what would the appropriate number of handicap stones be if god plays our best pros" ?

I'd also like to respond to this:

>>>my most educated guess would be that a black play at the 3-4 or 4-4 would be the move. This is
>>> simply based on the observation that many pros play this way today under these komi constraints

I wouldn't trust this way of judging. Didn't professionals NEVER play 4-4 until Go Seigen or someone like him in about 1950 start studying it ? So if we made such a judgement back then we'd say the 4-4 is inferior.

Extrapolating upon all of this, maybe pros don't play 5-5 tengen much not because they are inferior but merely because the pros haven't yet studied those moves enough to be confident to play them.

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 Post subject: Re: If God played Go, where would He play Black's first move
Post #32 Posted: Mon Jan 26, 2015 9:40 am 
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As a perhaps more answerable corollary, where wouldn't God or the devil play their first move?

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 Post subject: Re: If God played Go, where would He play Black's first move
Post #33 Posted: Mon Jan 26, 2015 9:46 am 
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The goban of god is a sphere...
Or even an n-hyper-sphere
So the first move doesn't really matter ;)

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 Post subject: Re: If God played Go, where would He play Black's first move
Post #34 Posted: Mon Jan 26, 2015 10:05 am 
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ericosman wrote:
Didn't professionals NEVER play 4-4 until Go Seigen or someone like him in about 1950 start studying it ?




They aren't the first move, but check out :b9: and :w10:, from a game in 1838. (!) :D

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 Post subject: Re: If God played Go, where would He play Black's first move
Post #35 Posted: Mon Feb 02, 2015 1:37 am 
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ericosman wrote:
Didn't professionals NEVER play 4-4 until Go Seigen or someone like him in about 1950 start studying it ?


Thera are a lot of figures in the xuan xuan qi jing (published in 1349) with 4-4 moves as starting points.

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 Post subject: Re: If God played Go, where would He play Black's first move
Post #36 Posted: Tue Feb 03, 2015 4:14 pm 
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God would play as white, arrange matters so that He loses by a half point, and then spend a long time reviewing the game with you afterwards.

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 Post subject: Re: If God played Go, where would He play Black's first move
Post #37 Posted: Sat Feb 07, 2015 1:09 pm 
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What about on a 9x9 board? Where would God play Black's first move?

Are we 100% sure that tengen is the best first move on a 9x9 board? ("best move" meaning the move which leads to the greatest winning margin if both players play optimally)

Is it possible that 3-4, 4-4 or 4-5 might be better than playing tengen?

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 Post subject: Re: If God played Go, where would He play Black's first move
Post #38 Posted: Sat Feb 07, 2015 3:15 pm 
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“God”? What “god”? Homo (allegedly) sapiens invented the idea of “gods”, and then they — quite more sapiens now — proceeded to something more fun: Go!

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 Post subject: Re: If God played Go, where would He play Black's first move
Post #39 Posted: Sat Feb 07, 2015 3:53 pm 
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It occurs to me that the title of this thread is nonsense. If god played black's first move he would be disqualified for playing with the opponent's stones.

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 Post subject: Re: If God played Go, where would He play Black's first move
Post #40 Posted: Sat Feb 07, 2015 5:53 pm 
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And, in the first place, why “He”?

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