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All comments by Andrzej Matuszewski
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Why angels did not arise in bridge earlier?
I do not know about chess. But they need angels exactly as we do.
In many chess positions during - so called mittelspiel - it is impossible to prove that certain move is optimal. Paradoxically neither computers or any kind of robots or products of AI nor best players assisted by coaches do not solve the problem in general.
Formulation of problem is very natural, while not easy.
Assume we consider 2 chess moves of player P in a given position: A and B.

A is better if after a “long” sequence of optimal moves reaches better position for P than the “final” position after move B.

One may say that in bridge is differently. Say player is thinking what to do in the third trick. And also has 2 choices: A and B. There are 11 tricks to play and 40 decisions to make (in the last trick there is no decision).

In fact sequences after A and B can have different lenghts in both games. In chess the “long” sequence can consist of 36 pairs of moves for inicial móve A and 31 for B.

The same in bridge: We may have claiming in 6-th trick after A and in 8-th trick after B.

In both games all moves after A and B must be invented by angels.
To be continued.
Dec. 18, 2018
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Have you noticed Bobby jack that was given in the first trick? Then dummy's 9 was not beaten by E's ten.
Dec. 18, 2018
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Rosalind's comments are very accurate. In this quiz we will talk about declarer's play. But North has a big Chance to be a bidding angel i.e. 4 is a candidate to be an optimal bid within Polish Club!
Dec. 18, 2018
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Dear Richard and Craig, I'm a mathematician, who elaborated a theory - especially - oriented for declarer's play and defense. Nothing can be understood if reader would not feel the notion od player's angel, who knows optimal moves (to be continued).
Dec. 18, 2018
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It is Polish Club, which limits opening in major to 16-17 HCPs.
Dec. 18, 2018
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They guessed the bidding. In position we are now: we must either double them in 4 (if they bid it) or bid and win 5!
Dec. 18, 2018
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Normal, weak.
Dec. 17, 2018
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You have to write ap (all passes) as a “bid” of W, Robert.
Dec. 16, 2018
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Interpretation of pd's 3 depends on style we have in pair. I think that a grand majority plays: 3 = ask for spades stopper.
Dec. 16, 2018
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Between 4NT and 5 I'd prefer the former. Nevertheless E seems to have diamonds void, which is not optimistic.
Dec. 16, 2018
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Or pd has void in spades. E has to have 6 hearts and prefers to play in hearts having bad break in the second suit.
Dec. 16, 2018
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Some inferences that should be done.
They can make 2 ruffs. E showed the way how to do it playing 9. This says: you can reach me in higher between the reds.
W made somewhat strange decisions taking that into account…
Dec. 15, 2018
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Thanks!!
Dec. 15, 2018
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Talking about IMPs scoring: IMHO 3 is obvious.
The only value, I have, which is doubtful is K. Lefty can have AQ e.g.
Everything else is perfect.
Pd knows that my possible spades values can be lost. So his decision about 4 should depend on his spades values.

At MPs 3 is bad because it does not confrm hearts fit. Pd may bid 3 or even 4.
Dec. 14, 2018
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This would be absolutely obvious at IMPs. Here both options are risky. Pass has an additional possibility: N will go to 3. Who know if it is good for us or bad…
Dec. 14, 2018
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Playing in spades has (or can have) a specific disadvantage: we can loose the control not because of their hearts but because of their diamonds.
Dec. 13, 2018
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Very difficult decision! At IMPs PASS!!!!!!!
Dec. 13, 2018
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Kit raised an important point, which I never considered. Double after Stayman makes other problem than after Texas. After Texas opener can pass the double with minumum HCPs, because he knows wether his side has fit (with tripleton, say) or not (with doubleton). After doubled Stayman pass makes troubles when opps will bid at level 3!
Dec. 11, 2018
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Do you want swing in this hand David?
Dec. 11, 2018
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