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Do inferior plays have values
    Keywords: EndGame, Theory

Charles Matthews and I began this discussion in a footnote to Miai values list - 2.00 and more. I think it has been fruitful, and that we both have gained from it. :-) -- Bill Spight

B1 in the following diagram had been presented as a 3 point play:

[Diagram]
Crawl on second line

(Assumes infinite White territory to the right.)

Charles Bill, you edited this out - a problem ...?

Bill: The problem is that it is not correct play, given the conditions. The monkey jump is. Yes, if you play it, you pick up 3 points. But values are based upon correct play. You assume that your opponent's play is correct to obtain a value. Yours should be, too.

Charles OK - I think it would be useful either to have 'starred' status for something as conceptually basic as this one; or to include it in a footnote or other area. And to decide whether, for example, the comparison with the small monkey jump should be done on-list or off-list.

Bill: Conceptually basic, maybe. (It does depend upon infinity.) Miai value, no.

Look, if the miai value of B1 is 3, that means that the miai value of W1 below is also 3.

[Diagram]
Prevent crawl on second line

(Assumes infinite White territory to the right.)

But the miai value of W1 is 4.42. (See monkey jump).

Miai values are superior arithmetically, and less confusing when comparing sente with gote, than deiri values. But with deiri values it is clear that you are comparing correct plays by either side. The same applies to miai values.

Charles I feel I'm getting confused again...

Try this. If this list is only for best play, that's fine. Then plays do come in pairs what Black does/what White does. We then have to include enough data in the diagram to know unambiguously what best play is - that is also fine, and should in most cases come out in the wash of evaluation.

If I take Bill's point correctly the crawl in question is attributed 3.71 miai. I'll concede that this is a silly number because it (for example) says that Black having played the inferior crawl once might (next turn) see the error of his ways and correctly play the monkey jump.

Bill: Well, I do not attribute any miai value to the crawl. But if I did, how's this?

[Diagram]
Losing sente

After B1 - W2, Black has lost 1.42 points on average. B1 gained 3 points, W2 took back 4.42 points. So maybe B1 is a 3 point losing sente. ;-)

Gee, that doesn't make much sense, either. <shrug> How do you measure a losing sente? I don't know. You are 3 points better off than if White played at 1. So maybe 3 point losing sente makes sense.

(Later): Actually, Charles, the more I think about it, the more it makes sense. B1 prevents a 3 point loss by comparison with White's gote. It is made with sente, locally, because W2 is hotter. And it loses points. So the monkey jump is a 4.42 point gote, while the crawl is a 3 point losing sente. B1 is assigned a miai value in a manner consistent with other miai values. Even without saying that it is a losing play, you can tell that from the value of the monkey jump.

Note: Something I did not say, of which Charles is well aware, is that sometimes a losing sente is correct play, given the rest of the board. Conceivably, there are whole board positions where the exchange of B1 and W2 is correct.
Later discussion with evand on CGT discussion makes me wonder if the way to measure a losing sente is by how much it loses. Then this would be a 1.42 point losing sente. I don't know which way is better.


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