Research
A study of 150,000 deals that ranks BidMaestro’s optional conventions by how much each one improves the results, first for all bidding and then for bidding to game only.
BidMaestro starts every new player with the Standard group only: five-card majors, a 15–17 1NT, Stayman, Jacoby transfers, weak twos, takeout doubles and the rest of that group. Everything else is optional. A player who wants to add conventions has to choose where to start. This study measures which conventions make the most difference to the results, so that the ones worth most can be learned first.
The study used 150,000 deals. Each deal was played as a team match at two tables. At one table a partnership playing one set of conventions sat North–South against a partnership playing another set; at the other table the two sets swapped seats. Each table’s contract was scored with all four hands visible (Double Dummy), and the difference between the two tables was converted to IMPs, the usual team-match scoring units. A convention’s value is the IMPs per 100 deals that a set of conventions gains by including it.
The ranking was built one step at a time, in two directions:
The two directions gave exactly the same order, in both studies. That is a good sign that the order does not depend on where you start.
Each convention’s value depends on what is already played. So the tables below give two figures: the value at the step where the convention was added (with the conventions above it already in), and its value when added on its own to the Standard group. The “±” figure is the margin of error. Where two neighbours in a table differ by less than their margins of error, treat them as tied.
The figures are averaged over all deals, including the many where a convention never comes up. A gain of 4 IMPs per 100 deals is about one IMP in a 24-board session.
| Order | Convention | Value when added (IMPs per 100 deals) | Value on its own |
|---|---|---|---|
| 1 | RKC Blackwood (1430) | +4.22 ±0.44 | +4.22 |
| 2 | 2/1 Game Force | +2.69 ±0.38 | +1.75 |
| 3 | Control-Showing Cue-Bids | +1.90 ±0.24 | −0.59 |
| 4 | Negative Doubles | +1.65 ±0.25 | +1.61 |
| 5 | Support Doubles | +1.43 ±0.16 | +1.49 |
| 6 | Michaels Cue-Bid † | +1.13 ±0.17 | +1.06 |
| 7 | New Minor Forcing | +1.12 ±0.14 | +1.22 |
| 8 | Splinter Bids | +0.72 ±0.13 | −0.14 |
| 9 | Reverse Drury | +0.61 ±0.11 | +0.48 |
| 10 | Minor-Suit Transfers | +0.56 ±0.07 | +0.56 |
| 11 | Unusual 2NT † | +0.52 ±0.13 | +0.45 |
| 12 | Fourth Suit Forcing | +0.40 ±0.10 | +0.32 |
| 13 | Cappelletti / Hamilton † | +0.29 ±0.12 | +0.30 |
| 14 | Bergen Raises | +0.25 ±0.12 | −0.99 |
| 15 | Responsive Doubles | +0.22 ±0.10 | +0.30 |
| 16 | Puppet Stayman | +0.22 ±0.09 | +0.08 |
| 17 | Crawling Stayman | +0.14 ±0.04 | +0.14 |
| 18 | Garbage Stayman | +0.14 ±0.03 | +0.15 |
| 19 | Jacoby 2NT | +0.11 ±0.16 | +0.58 |
| 20 | Lebensohl | +0.08 ±0.07 | +0.09 |
| 21 | Help-Suit Game Tries | +0.04 ±0.06 | +0.08 |
| 22 | Texas Transfers | +0.03 ±0.04 | +0.02 |
| 23 | Equal-Level Conversion Doubles | +0.02 ±0.04 | +0.13 |
| 24 | Gerber | no deal changed | no deal changed |
| 25 | Minimax | −0.10 ±0.15 | +0.07 |
| 26 | Serious 3NT | −0.12 ±0.09 | no deal changed |
| 27 | Inverted Minors † | −0.13 ±0.20 | −0.18 |
| 28 | Multi 2♦ † | −1.48 ±0.29 | −1.44 |
† Not reliably measured yet; see What the study cannot show.
Many players want to bid their games well before they think about slams. For this second study the five slam conventions (RKC Blackwood, Control-Showing Cue-Bids, Splinter Bids, Serious 3NT and Gerber) were left off at both tables. Any contract above game that was not doubled was scored as the game in the same suit by the same player, so bidding a slam or missing one made no difference to the score.
| Order | Convention | Value when added (IMPs per 100 deals) | Value on its own |
|---|---|---|---|
| 1 | Negative Doubles | +1.64 ±0.25 | +1.64 |
| 2 | Support Doubles | +1.46 ±0.15 | +1.50 |
| 3 | New Minor Forcing | +1.21 ±0.12 | +1.26 |
| 4 | 2/1 Game Force | +1.14 ±0.28 | +1.16 |
| 5 | Michaels Cue-Bid † | +1.08 ±0.17 | +1.03 |
| 6 | Minor-Suit Transfers | +0.56 ±0.07 | +0.56 |
| 7 | Unusual 2NT † | +0.50 ±0.13 | +0.43 |
| 8 | Reverse Drury | +0.33 ±0.08 | +0.33 |
| 9 | Fourth Suit Forcing | +0.31 ±0.08 | +0.32 |
| 10 | Cappelletti / Hamilton † | +0.28 ±0.12 | +0.26 |
| 11 | Responsive Doubles | +0.22 ±0.10 | +0.30 |
| 12 | Jacoby 2NT | +0.21 ±0.04 | +0.18 |
| 13 | Bergen Raises | +0.17 ±0.10 | −0.90 |
| 14 | Crawling Stayman | +0.14 ±0.04 | +0.14 |
| 15 | Garbage Stayman | +0.14 ±0.03 | +0.15 |
| 16 | Texas Transfers | +0.07 ±0.04 | +0.02 |
| 17 | Lebensohl | +0.05 ±0.06 | +0.09 |
| 18 | Puppet Stayman | +0.05 ±0.04 | +0.05 |
| 19 | Help-Suit Game Tries | +0.04 ±0.06 | +0.08 |
| 20 | Equal-Level Conversion Doubles | +0.02 ±0.04 | +0.12 |
| 21 | Minimax | −0.16 ±0.15 | +0.08 |
| 22 | Inverted Minors † | −0.14 ±0.19 | −0.16 |
| 23 | Multi 2♦ † | −1.53 ±0.28 | −1.44 |
† Not reliably measured yet; see What the study cannot show.
Five conventions are not reliably measured yet: Multi 2♦, Cappelletti / Hamilton, Michaels Cue-Bid, Unusual 2NT and Inverted Minors. In the study, each partnership read its opponents’ bids by its own convention card. So when only one side played a convention, the other side read that convention’s bids as if they had their natural meaning. In a real game the bids are alerted and the opponents are told what they mean. These five are the conventions most affected, so their figures (including Multi 2♦’s loss) will be measured again once the study can give each side the other side’s card.
Being told what a bid means is not the same as knowing how to bid against it. Against opponents who have not met Multi 2♦, Cappelletti or Inverted Minors before, these conventions may be worth more than any study between two well-prepared partnerships can show.
The study also has some limits that apply to every convention: