The pie rule

[shapenaji]

Are you assuming an information asymmetry? Assuming your opponent knows your style as well as you know theirs, it still comes down to judging the relative value of the allowing you or denying you the use of the first move that you chose. If there actually is a "heads I win, tails you lose" condition in, for example, center-oriented first plays against a particular opponent, there is presumably a symmetrical "tails I win, heads you lose" condition when that opponent plays first.

As far as I can see, a pie rule reduces to starting the game with a willfully inferior move (with or without internal gamesmanship), followed by a decision on whose move it is, and then followed by reversion to playing as well as possible in order to win. I think it would spoil the beauty of the game for me.

I'm not assuming information asymmetry actually, we can both know the same amount about our own style and theirs. (Though I suppose there is a certain asymmetry in our knowledge of how to play the game, leading to different styles). The only thing that matters is that I get to act on that information, and my opponent does not.

It's not a pure solomon-style split.

There may be a symmetrical condition when the opponent goes first, but then that's no different from normal play with no komi.

The pie rule should, theoretically, result in a fair start. But if I'm in charge of the options, that will always be a step ahead of the person doing the choosing.


EDIT:

Imagine the following choices:

1. A Center-oriented opening move
2. A Territory-oriented opening move

If I play 1, then my opponent is left with two choices, either to play a Center-oriented strategy or to play against it without komi.

These may both be scenarios in which he is weak. If I get a center opening start and my opponent has no komi, that's huge.

But if he then has to play a strange strategy that he's not familiar with, that also puts him at a disadvantage.

Basically, if you know you have differing styles, you should play a move that fits best with your style. Since the opponent will either have to let you have it, or not play their own style.

[ez4u]

Are you assuming an information asymmetry? Assuming your opponent knows your style as well as you know theirs, it still comes down to judging the relative value of the allowing you or denying you the use of the first move that you chose. If there actually is a "heads I win, tails you lose" condition in, for example, center-oriented first plays against a particular opponent, there is presumably a symmetrical "tails I win, heads you lose" condition when that opponent plays first.

As far as I can see, a pie rule reduces to starting the game with a willfully inferior move (with or without internal gamesmanship), followed by a decision on whose move it is, and then followed by reversion to playing as well as possible in order to win. I think it would spoil the beauty of the game for me.

I'm not assuming information asymmetry actually, we can both know the same amount about our own style and theirs. (Though I suppose there is a certain asymmetry in our knowledge of how to play the game, leading to different styles). The only thing that matters is that I get to act on that information, and my opponent does not.

It's not a pure solomon-style split.

There may be a symmetrical condition when the opponent goes first, but then that's no different from normal play with no komi.

The pie rule should, theoretically, result in a fair start. But if I'm in charge of the options, that will always be a step ahead of the person doing the choosing.


EDIT:

Imagine the following choices:

1. A Center-oriented opening move
2. A Territory-oriented opening move

If I play 1, then my opponent is left with two choices, either to play a Center-oriented strategy or to play against it without komi.

These may both be scenarios in which he is weak. If I get a center opening start and my opponent has no komi, that's huge.

But if he then has to play a strange strategy that he's not familiar with, that also puts him at a disadvantage.

Basically, if you know you have differing styles, you should play a move that fits best with your style. Since the opponent will either have to let you have it, or not play their own style.

Imagine the following choices:
1. A Center-oriented opening move:
1a Play it
1b Play against it with no komi
2. A Territory-oriented opening move:
2a Play it
2b Play against it with no komi
Assuming that you are in a situation where you are making the first play turn by turn in a series of games, where would the advantage be? You are better at one, which you can take advantage of when you are choosing the initial play, and your opponent is better at the other, which they can take advantage of in turn. Of course you can assume that there is no repetition, but then you have described why the pie rule does not work in Go, right? It confers an unfair advantage to a knowledgeable player, where the relevant knowledge consists of an understanding of your opponent's style. Alternatively you can imagine situations such as you are better at center-oriented play and your opponent is not better at territory-oriented play, but then haven't you simply described being stronger than your opponent? I am probably missing the point here somewhere.

[Bill Spight]

If I think of a suboptimal opening move for go, it is not easy to find one that is worth just the right amount. And then the game may look strange. But a three move pie sequence allows more scope, both for finding moves and for finding an inefficient combination.

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Click Here To Show Diagram Code

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How about this, for instance?

[topazg]

There are some rather elegant extensions to the pie rule which I think could work quite nicely for Go, like the opening rules for Renju (Gomoku, or 5 in a row, but in a way that is not hugely advantageous - and arguably solved as a win to the starting player):

The first player places 2 black stones and 1 white stone on the board.
The second player now chooses whether to play black or white.
White then places one more stone on the board.
Black places 2 stones on the board.
White removes one of the two black stones from the previous move.
White places a white stone.

At the end, everybody has 3 stones on the board, and play progresses. Due to the nature of the opening, I imagine you could create some awesome fuseki, but the game should fundamentally still end up pretty much like you'd expect from a game of Go, which probably wouldn't be the case with the pie rule.

[hyperpape]

Shapenaji, for the purposes of the question, imagine that you're playing...EVIL SHAPENAJI. He knows everything you know and plays the same way, but evil.

[tchan001]

Shapenaji, for the purposes of the question, imagine that you're playing...EVIL SHAPENAJI. He knows everything you know and plays the same way, but evil.

Shapenaji, for the purposes of the question, imagine that you're playing...GOOD SHAPENAJI. He knows everything you know and plays the same way, but good.

[shapenaji]

Imagine the following choices:
1. A Center-oriented opening move:
1a Play it
1b Play against it with no komi
2. A Territory-oriented opening move:
2a Play it
2b Play against it with no komi
Assuming that you are in a situation where you are making the first play turn by turn in a series of games, where would the advantage be? You are better at one, which you can take advantage of when you are choosing the initial play, and your opponent is better at the other, which they can take advantage of in turn. Of course you can assume that there is no repetition, but then you have described why the pie rule does not work in Go, right? It confers an unfair advantage to a knowledgeable player, where the relevant knowledge consists of an understanding of your opponent's style. Alternatively you can imagine situations such as you are better at center-oriented play and your opponent is not better at territory-oriented play, but then haven't you simply described being stronger than your opponent? I am probably missing the point here somewhere.

Well, isn't the point of the pie rule to make a single game even?

A series of games is already even, you just alternate black and white.

[shapenaji]

Shapenaji, for the purposes of the question, imagine that you're playing...EVIL SHAPENAJI. He knows everything you know and plays the same way, but evil.

Shapenaji, for the purposes of the question, imagine that you're playing...GOOD SHAPENAJI. He knows everything you know and plays the same way, but good.

Playing your double seems like one of the few times the pie rule should result in an even start. (That or ignorance of your opponent)


The way I see it, we have 2 ways here of trying to make the game even:

1) Komi, regardless of what information I have about my opponent, I gain nothing from going first

2) The 1-move Pie Rule, Having information on my opponent enables me to use the first placement to set up a choice between two options which are both unsatisfactory for my opponent.

The first player gets to decide the nature of the flow of the game, and can use this against his opponent.

I could use a different pie rule to illustrate this,
What if I let one player play the first 40 moves. And then let the other player choose after that?

If it were up to me, I'd leave my opponent with a lot of fights all over the board. If instead, I were a monster at endgame (which I am certainly not, but for the sake of argument), I would create a number of solidified positions all over the board, leading to an early endgame.

[ez4u]

Imagine the following choices:
1. A Center-oriented opening move:
1a Play it
1b Play against it with no komi
2. A Territory-oriented opening move:
2a Play it
2b Play against it with no komi
Assuming that you are in a situation where you are making the first play turn by turn in a series of games, where would the advantage be? You are better at one, which you can take advantage of when you are choosing the initial play, and your opponent is better at the other, which they can take advantage of in turn. Of course you can assume that there is no repetition, but then you have described why the pie rule does not work in Go, right? It confers an unfair advantage to a knowledgeable player, where the relevant knowledge consists of an understanding of your opponent's style. Alternatively you can imagine situations such as you are better at center-oriented play and your opponent is not better at territory-oriented play, but then haven't you simply described being stronger than your opponent? I am probably missing the point here somewhere.

Well, isn't the point of the pie rule to make a single game even?

A series of games is already even, you just alternate black and white.

OK, I have been writing at cross purposes to your original post. As an approach for a single game, I agree with your logic. I also agree with your assertion that it is not an even trade.

[wms]

I have played several games that use the pie rule and I always hate it. When I select my first move, it's because that's the move I want to play, not the move I want to play against. I hate it when I want to try some new strategy then my opponent flips colors on me. Grrrrr.

Games that need the pie rule to be close to even are much less interesting to me. Luckily I'm so bad at hex that it's still pretty even, even without the pie rule.

[hyperpape]

Also, following up that thought,

I don't think the pie rule is an even trade. If I know anything about my opponent, it will cease to be a balance, because I can play a move that I know works well with my style, but poorly with my opponent's.

As a result, there is still an advantage to the first move.

I'm still struggling with this idea. I'm hyper-territorial, but I think I'd take a center-oriented move over playing second. I wouldn't be comfortable, but I think I'd still be better off against an opponent of my own strength.

Obviously, I'm going to get less out of that move than my opponent would. But are there really any moves that are pretty good for one player's style and horrible for another? I'm not sure about that. I'm not sure the differences are that stark.

As an analogy, if you plop me down with a moyo that gives a medium advantage, I might actually have zero advantage over my opponent. But if it's a big advantage, I'm still favored to win the game.

(I guess if there's an insane 7-7 trick play that my opponent knows, that's going to ruin what I'm saying).

[emeraldemon]

$$B 5x5 board
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Click Here To Show Diagram Code

[go]$$B 5x5 board
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Do you take white or black? (5x5 has been solved, so please use hide tags if you know the answer!)

[speedchase]

[Hide]I think white wins if she plays at 3-3 but I am not sure[Hide]

[Mef]

Along these lines....

If I think of a suboptimal opening move for go, it is not easy to find one that is worth just the right amount. And then the game may look strange. But a three move pie sequence allows more scope, both for finding moves and for finding an inefficient combination.

There are some rather elegant extensions to the pie rule which I think could work quite nicely for Go, like the opening rules for Renju (Gomoku, or 5 in a row, but in a way that is not hugely advantageous - and arguably solved as a win to the starting player):

I could use a different pie rule to illustrate this,
What if I let one player play the first 40 moves. And then let the other player choose after that?

...Perhaps another option to be considered would be the variant where players play N moves (let N be some number like 10-20), then a coin is flipped -- heads they switch colors, tails they keep the same. This would give both players the chance to work toward a position where they would be willing to play either side at some point in the middle. Of course some might not like the introduction of chance.

[Jedo]

I think we can see how unsatisfying the pie rule is by thinking about how its application would work in a game like tennis. Good tennis players spend years perfecting their serve: learning to place it precisely, getting power and spin, and thinking about how the game will develop from the initial serve. Likewise, they spend a lot of time practicing returning serves, and getting good at that. The game of tennis is built around the player with first-move advantage trying to use that advantage to the hilt, and the other player trying to resist it, and the kinetic ballet that develops from that interaction.

So then if someone comes to me and tells me that playing sets has disadvantages, and he has a way to stop time immediately after the serve so that the second player can decide whether he would rather return the serve or let his opponent return it, and that henceforth tennis will be about having the most mediocre serve possible, so that neither player has any advantage... what do you think I would say about that? What would you say? What would serious tennis players say?

This is an interesting comparison. The one problem I see with it is that tennis solves the problem of the first move advantage by playing a series of games. In go that isn't in option (in an amateur tournament or casual play), so some other solution must be found. I tend to agree that komi is the best one.