gnasher, on Jan 8 2008, 06:41 AM, said:
I think it clear to double here: I expected to make three of a minor, I have a pile of defensive tricks, and partner competed to the three level vulnerable. I'm not going to let a fatuous redouble talk me out of bidding my hand.
The people who think that the field will be in 2S should find themselves a stronger game.
Some of the passers here have played in the toughest games in the world
But the real arguments in favour of pass don't relate to the toughness of the game.
I suspect that most would agree that the bidding suggests that partner has balanced aggressively. We hold a lot of hcp and the redouble is not necessarily 'fatuous' as you wrote. Indeed, the tougher the game, the less fatuous it will be because good players redouble to clue partner in, not to psych the opps.
Assume that 50% of the field plays 2
♠. Assume 50% reach 3
♠.
Assume we have a 50% chance of beating 3
♠ a trick.
Don't get hung up on the precision of these estimates: yours may vary and you can apply the same math to your numbers.
On a 12 top:
If their limit is 8 tricks, and you pass, you score (if they are red) 100, and get anywhere from 6 to 9 mps on a 12 top, depending on how many doubled. Assume half the field, if given the opportunity, doubled, and you will beat 6 pairs, tie 3 and lose to 3, and score 7.5 on a 12 top by passing.
Had you doubled, you'd be scoring 10.5. So by doubling you increase your score by 3 mps on a 12 top.
If they make 9 tricks, then on the same assumptions, if you pass you tie 9 players and beat the 3 who doubled: you score 7.5 mps. If you doubled, you lose to 9 players and tie 3, for 1.5 mps.
So by doubling, you decrease your score by 6 mps.
Double, when right, equals +3 mps, and when wrong -6 mps.
This makes the double a clearly wrong bridge decision.
You can play with the numbers, but, however you do it, the fact remains that the double is usually anti-percentage unless:
1) you expect a significant majority of the field to be in 3
♠,
2) you expect a most players, given the opportunity, will say double,
3) and you expect to beat the contract more than half the time.
Add to this the partnership morale cost when partner makes an aggressive balance and you turn an average into a near-bottom, and the odds for the double working on the given hand have to be much better than 50-50 for it to be the best call.
'one of the great markers of the advance of human kindness is the howls you will hear from the Men of God' Johann Hari