Duplicate bridge

Duplicate bridge tournament playing area

Duplicate bridge is the most widely used variation of contract bridge in club and tournament play. It is called duplicate because the same bridge deal (i.e. the specific arrangement of the 52 cards into the four hands) is played at each table and scoring is based on relative performance. In this way, every hand, whether strong or weak, is played in competition with others playing the identical cards, and the element of skill is heightened whilst that of chance is reduced. Duplicate bridge stands in contrast to rubber bridge where each hand is freshly dealt and where scores may be more affected by chance in the short run.

Bridge boards, simple four-way card holders, are used to enable each player's hand to be passed intact to the next table that must play the deal, and final scores are calculated by comparing each pair's result with others who played the same hand. Bidding boxes are often used to facilitate the mechanics of bidding, prevent inadvertent passing of information, and minimize the noise level. Screens are used in higher levels of competition and were introduced to reduce the chance of passing unauthorised information to one's partner.

In duplicate bridge, a player normally plays with the same partner throughout an event. The two are known as a "pair". There are two exceptions: in team events with up to six members swapping partners for portions of the event, and in individual tournaments, in which players change partners for each round.

Game types

Pairs game

In a pairs game, each deal is played a number of times by different players, after which all the scores are compared. Immediately after a hand is played, the North player writes the result of that hand on the travelling sheet, and the East player checks it. The information recorded includes at least the numbers of the North-South and East-West pairs and the score achieved. Usually the contract and the number of tricks won are also recorded, and sometimes also the opening lead. Sometimes the cards in each hand are also written on the traveller, which is useful in case the cards are inadvertently mixed up. The traveller is contained within and travels with the board. This means that the players learn how they did up to that point on each board. This might be regarded as an advantage or as a disadvantage: information about their relative standing in the field might induce a pair to change their strategy (e.g. aggressive or conservative bidding and play) on the remaining hands.

Alternatively, the scores for each round may be recorded on pickup slips collected during the event to enable the scorer to start to process the results before the end of the session, so that the results can be announced soon after the end of the session. A modern development is an electronic data-entry device on each table that transmits the results wirelessly to the director's computer.^[1]. This allows results to be posted at a club or on a website very quickly after the end of play. The usual form of overall scoring for a pairs tournament is matchpoint scoring; occasionally IMP scoring is used instead. Every pair plays against a number of opposing pairs in successive rounds, depending on the size of the field. Tournaments with up to about a dozen tables are usually played either as a Mitchell movement (each North/South pair plays against all or most East/West pairs) or a Howell movement (each pair plays against all or most other pairs, and switches between North/South and East/West as required). A Howell movement is typically used if there are fewer than about 7 tables. With larger fields the tournament can be split into separate sections (every section operates its own separate movement, but the scores are compared across all sections); each section normally plays a Mitchell movement.

The tournament consists of a number of rounds, which each present a number of boards, usually two to five, to be played against the same opponents. After each round, some or all of the players reseat themselves according to a prescribed movement, so that each pair opposes a different pair in each round; the boards are also moved. The movement must be set up so that each pair does not play more than one round against the same opponents, and, of course, does not play the same board more than once. The tournament director will select the movement depending on the number of pairs playing, to allow them to play the desired number of boards each, without repetition. A session typically consists of between 24 and 28 boards in total, but this can vary. Typically around eight boards are played per hour, so a typical session will last 3 hours or slightly more. If there is an odd number of pairs, one pair will have to sit out in each round. Most events are single-session, but tournament events can consist of two, four or more sessions.

Table movements

See article Duplicate bridge movements.

The Mitchell movement is the most common. The North-South pairs remain stationary. After each round, the East-West pairs move to the next higher table and the boards move to the next lower table. If the number of tables is odd, every E-W pair will play different boards against every N-S pair after the full circle. In case of an even number of tables, the East-West pairs are told to skip a table after about half the rounds so that they do not encounter boards that they have already played; alternatively ("Relay-bystand Mitchell"), a "bystand" (playerless table) is introduced, while the two tables farthest from the bystand share the boards from each round (the "relay"). Usually, the bystand is placed halfway through the field (eg between Tables 5 and 6 if there are 10 tables) and the relay between Table 1 and the last table. The "perfect" Mitchell is seven, nine, or thirteen tables, with four, three, or two boards per round respectively: all players play all boards, and all pairs of each direction play against all pairs of the other direction. A variation of the Mitchell movement employs "arrow-switching". This means that for approximately one-eighth of the boards played, the N-S pairs play the E-W cards and vice versa. This variation is used when it is desired to have one winner rather than two winners (see below).

The Howell movement is sometimes used instead, usually when there are a relatively small number of tables. This movement is more complicated and varies according to the total number of pairs. All boards and most pairs move after every round according to guide cards placed on the tables, or carried by the players (usually one pair, or sometimes more, remain stationary). The Howell is sometimes considered a fairer test than the Mitchell, because each pair faces all or nearly all of the other pairs, not just the pairs sitting in the opposite direction. However the fairness of a movement depends not only on who one plays against but also to a considerable extent on one's indirect opponents, ie those who play the same cards as you do. The Howell also tends to be more error-prone than the Mitchell due to its greater complexity. Ideally the number of rounds will be one less than the number of pairs competing, so that each pair plays one round against ever other pair. Each round will usually consist of either 2, 3, or 4 boards. However sometimes this produces an inconvenient total number of boards to be played. To avoid this, a "reduced Howell" or "three-quarter Howell" movement is often played, with fewer rounds and usually with more than one stationary pair, so that the number of rounds plus the number of stationary pairs equals the total number of pairs.

Less common is the Chalfant movement. In this movement, the boards remain stationary while the players move according to guide cards. This requires significantly more physical tables, because several tables are not in play on any given round. (Like the Howell movement, this movement is typically used when there is a relatively small number of players, typically no more than 12 pairs. Also like the Howell movement, this movement produces a single winner and pairs face all or almost all of the other pairs in play.) This movement has the advantage that pairs are often moving to a table that was not in use on a previous round, so a slow pair does not delay as many other pairs as in a Howell. Also, for several sizes, this movement is technically superior in that more pairs face all other pairs than in the corresponding Howell movement. This movement has the disadvantage of requiring a larger number of physical tables, and thus more space. It also requires the players to carry guide cards with them and consult them, while the guide cards usually remain on the tables for Howell movements.

Whatever movement is used, if the number of pairs is odd, obviously one pair must sit idle during each round; that situation is referred to as a bye or sit out. In that undesirable case, the missing pair (sometimes called the phantom pair) is treated as if it exists, i.e. the movement is set up for (number of actual pairs + 1)/2 tables. The phantom pair may be North-South, East-West or an arbitrary pair number in a Howell movement. In a Mitchell movement, having an East-West phantom pair is advantageous in that there are non-phantom players at each table responsible for correct movement of the boards. During the movement, one pair in each round will sit out ("play" against the phantom pair). Since, as result, pairs will usually play unequal numbers of boards, their final results are normally scaled in the final calculation (known as factoring), or less commonly they might be awarded "bye points" for that round (normally, a result slightly above average).

Another arrangement for an odd number of pairs is called a bump or rover movement, in which the number of tables is rounded down to (number of actual pairs - 1)/2. In a Mitchell movement, the extra pair normally sits out the first round and then, according to a schedule, substitutes for a different North-South pair for each subsequent round (the "bumped" pair having a sit out for that round). The extra pair are frequently referred to as the "rover pair" because, unlike the other North-South pairs, they move at each round. In particular, the bump is preferable to the sit out for 11½ tables: it allows every pair to play at least 24 boards while having only 33 boards in play.

In a Howell movement, the extra pair normally sit out the first round and are then allocated fixed seats where they remain for all subsequent rounds. Any position other than that which would normally be occupied by a stationary pair will do. The extra pair thus displace, or "bump", a different pair (those who would normally move to those seats) at each round. The extra pair are still colloquially known as the "rover pair" even though, in a Howell, they do not actually rove.

A better alternative is for the phantom pair to be allocated a stationary position. This enables all the boards to be played the same number of times (so that all the pairs play all the boards) and the movement in many cases to be completely fair between all the non-stationary pairs.

Trials are usually reserved for high-level competitions (such as regional and national championships, invitation tournaments etc.). There, a fixed number of pairs (usually 16) play a full round-robin tournament (Swiss can be also used to shorten the tournament) with relatively long matches (8-32 boards) against each other, the entire tournament lasting for two to four days. One session consists of only one round, with boards circulating among the tables and pairs remaining seated. Results are calculated after each round using IMP or Calcutta scoring, converted to Victory points, and added up to the running score. The pair with highest VP score becomes the winner.

Teams game

In a teams tournament, two pairs normally constitute a team. (Teams of five or six members are often permitted, but each set of boards will only be played by two pairs in the team, ie four members of the team.) If there are just two teams, they compete using two tables and having one pair from each team seated at each table, in opposite directions. (For example, Team A may sit North-South at table 1 and East-West at table 2; then Team B would sit East-West at table 1 and North-South at table 2.) Similar arrangements apply if there are more than two teams in the competition. Depending on the number of teams competing and the structure of the tournament, a relatively larger number of boards may be played (usually six to eight for "Swiss teams", usually 12, 24, or more for knockout events). The boards are moved (usually by a caddy) so that they are all eventually played at both tables.

Suppose Team A plays Team B. The first time a hand is played, one partnership from Team A takes the North-South cards and one partnership from Team B takes the East-West cards; when the hand is played again, it is played by the other two partnerships, but this time with Team A holding the East-West cards and Team B holding the North-South cards. Of course the teams may not discuss the deals between the two plays. Normally, each of the two tables deals and plays half of the scheduled boards at the beginning of the match, and they're exchanged in the halftime. After each deal has been played twice, the scores per deal are compared, and a score is given depending on the net total score from the two times the deal was played. For example, if one pair scores +620 on a deal, and their teammates score -600, then the team's net score on that deal is +20.

Several forms of scoring are then used to calculate the winner of the match. IMP scoring is most frequently used in team games, with Board-a-match (resembling matchpoint scoring) second.

• At IMP scoring, the net score is converted using the IMPs table that "compresses" big differences in score. For instance if the net score was 20, as in the above example, this would be converted to a score of 1 IMP, while a net score of say 450 (eg +620 versus +170) is worth 10 IMPs. If the match between the two teams is part of a larger competition, then usually the total difference in IMPs in a single match is converted into so-called Victory points or VPs. The VPs awarded to each team in their matches are summed up to determine the overall team ranking.
• At Board-a-match (BAM), each hand has equal weight; each hand is won, lost, or tied.

Those are the two commonly used methods; sometimes are also used:

• Total point score, known as aggregate scoring in England, uses no conversion whatsoever; total-point scoring was more popular in the past, and is rarely used today. Only one event in England, the Hubert Phillips Bowl for Mixed Pivot teams, uses this form of scoring.^[2]
• Patton scoring combines the methods of Board-a-match and Total point scoring.

Individual events

In an individual event, each player is paired with a different partner in each round. Individual events are less popular and much less common than pairs and teams events.

There are various methods for assigning partners. In one method, which can be regarded as an extension of the Mitchell movement, a given set of players always sit North, another set sit South, another set sit East, and a final set always sit West. This can be used to arrange that each pair consists of a relatively experienced or skilled player, and a relatively inexperienced player.

Individual events are more complex to run, as the movement and scoring are more complicated. They ideally require that players establish understandings in bidding and play methods with new partners in every round; this adds to the challenge of the game given the nuances of many bidding and signaling systems and conventions. There is an additional element of luck compared to other types of events: a good player may be less successful with a poor partner on a difficult board than others are with the same partner on a simpler one.

Scoring is usually match points, but IMP pairs scoring can be used.

Scoring

Matchpoint scoring

The most common form of pairs scoring is by matchpoints. (See Bridge scoring for the scoring method of individual deals.) On each board, a partnership scores two matchpoints for each other partnership that scored fewer points with the same cards, and one point for each other partnership that scored the same number of points. Thus, every board is weighted equally, with the best result earning 100 percent of the matchpoints available, and the worst earning no matchpoints; the opponents receive the complement score, e.g. an 80% score for a N-S pair implies a 20% score for their E-W opponents. Colloquially, a maximum matchpoints score on a board is known as a "top", and a zero score is a "bottom". The terms "high board" and "low board" are also used.

Note 1: in the United States, scoring is one point for each pair beaten, and ½ point for each pair tied.

Note 2: The rule of 2 matchpoints for each pair beaten is easy to apply in practice: if the board is played n times, the top result achieves 2*n-2 matchpoints, the next 2*n-4, down to zero. When there are several identical results, they receive the average. However, complications occur if not every board is played the same number of times, or when an "adjusted" (director-awarded) score occurs. These cases can result in non-integer matchpoint scores – see Neuberg formula.

These matchpoints are added across all the hands that a pair plays to determine the winner. Scores are usually given as percentages of a theoretical maximum: 100% would mean that the partnership achieved the best score on every single hand. In practice, a the result of 60% or 65% is likely to win the tournament or come close. In a Mitchell movement (see above) the overall scores are usually compared separately for North-South pairs and for East-West pairs, so that there is one winner in each group (unless arrow-switching has been applied - see above).

Historical Note: At some time in the past, both North-South and East-West might be awarded the same matchpoint score. Using this arrangement, the lowest East-West Score would be the winner.

In Board-a-match team game, the matchpoints are calculated using a similar principle. Since there are only two teams involved, the only possible results are 2 (won), 1 (tied) and 0 (lost) points per board.

IMP scoring

In IMP (International Match Points) scoring, every individual score is subtracted from another score, and the difference is converted to IMPs, using the standard IMP table below.^[3] The purpose of the IMP table, which has sublinear dependency on differences, is to reduce results occurring from huge score differences ("swings").

The score that is being compared against can be obtained in the following ways:

• In team events, it is the score from the other table;
• In pair events, it can be:
  • The datum score, most often calculated as the average score on board, excluding a number of top and bottom results. Sometimes, the median score is used instead.
  • In "cross-imps" or "Calcutta" scoring, every score on board is compared against every other score (sometimes excluding top and bottom results) and IMPs summed up (and possibly averaged, to reduce "inflation").
  • Example of averaged cross-imp scoring: Assume that you are one of five pairs who play Board 2 as N/S (you are vulnerable). On this board you bid and make 4 Spades, scoring +620, while the other four N/S pairs score -100, -100, -300, and +650. To figure out your averaged cross-imp score, you would create a table like the Cross-IMP example table below: after writing in the scores of you and your opponents in the bolded areas, you would then fill in the Score Delta row by subtracting each of the opponent's scores from yours. Then, you would fill in the IMPS Gained row by converting each of the score deltas into IMPS via the standard IMP table (e.g. 720 equates to 12 IMPs, because it falls in the range of 600 to 740 in the IMP table). You then add up those numbers and get 37 IMPS. To turn the 37 IMPS into a averaged cross-IMP score, you simply divide that number by the number of competitors (37 IMPs divided by 4 competitors) to arrive at 9.25 as your averaged cross-IMP score.

Cross-IMP example table

Our score on Board 2 is 620	Scores of the four other North/South pairs
	-100	-100	-300	650
Score Deltas	720	720	920	-30
IMPS Gained	12	12	14	-1

IMP table

Point difference		IMPs		Point difference		IMPs		Point difference		IMPs
from	to			from	to			from	to
0	10	0		370	420	9		1750	1990	18
20	40	1		430	490	10		2000	2240	19
50	80	2		500	590	11		2250	2490	20
90	120	3		600	740	12		2500	2990	21
130	160	4		750	890	13		3000	3490	22
170	210	5		900	1090	14		3500	3990	23
220	260	6		1100	1290	15		4000 or more		24
270	310	7		1300	1490	16
320	360	8		1500	1740	17

Scoring and tactics

The type of scoring significantly affects a pair's (team's) tactics. For example, at matchpoints, making one more overtrick than everybody else on a board gives the same result (the top) as making a slam that nobody else bid, whereas at IMP scoring, the difference comes down to 1 IMP (30 points) in the first case, but 11 or 13 IMPs (500 or 750 points) in the second case. In general, matchpoint scoring requires a more "vivid" and risk-taking approach, while IMP scoring requires a more cautious approach (sometimes referred to as "cowardly" by those who dislike it). The main features of the tactics are:

• Matchpoints
  • Overtricks are important
  • Safety play is often neglected in the hunt for overtricks
  • Thin games and slams are avoided
  • Sacrifices are more frequent; e.g. going down 500 points on a doubled contract is a good result if the opponents can score 620 points for a game.
  • Doubles are more frequent, as they increase the score for the penalty. For example, "the magic 200" refers to the situation when a pair beats the vulnerable opponents one trick doubled — the obtained score of 200 will likely outscore all partial contracts played on other tables.
  • Playing in higher-scoring denominations (notrump or major suits) is important, as it may lead to an extra 10 or 20 points.
  • Due to the above, it is often unclear to the defence, and sometimes even to the offense, what their goals are.^[4] Thus mastering matchpoints play requires additional skills (sometimes referred to as "not bridge" by those who dislike it) to those required to playing IMPs.
• IMPs
  • Overtricks are not important, as it's not worth a significant risk of losing a game bonus of 300–500 points = 8–11 IMPs (or to a lesser extent a part score of 110 to 190) for the potential 1-IMP gain for an overtrick.
  • Safety play is very important, for the same reason.
  • Thin games and slams are often bid. Bidding a game with 40 percent probability of success vulnerable and 45 percent nonvulnerable, or a small slam with 50 percent probability, is worth the risk, and anything over that increases the probability of a positive IMP score in the long run.
  • Sacrifices are less frequent, as they may be risky.
  • Doubles are less frequent, as they may be risky. Often, when an opponents' contract is doubled, it turns declarer's attention to the bad lie of cards, and may induce him to take a successful line of play that he wouldn't take otherwise.
  • The contract itself sets a clear goal for both the defence and declarer, frequently allowing a deeper level of counter-plays between them.

Contrast with rubber bridge

Duplicate bridge, especially matchpoint games, differs significantly from rubber bridge: whereas the goal in rubber bridge is to win more points than the pair of people you are playing against, in duplicate bridge the goal is to do better than other pairs playing exactly the same cards. Because of this, strategies are different. In rubber (as in IMP scoring), 30 points above the line for an overtrick is unimportant and hardly worth risking a set. In match-points duplicate, it is common for those 30 points to mean you get a top score instead of average – and may be worth risking going down. In rubber, an occasional 800-point penalty is disastrous, but on matchpoints it is no worse than any other bottom score. International match points is in the middle of these extremes. Huge penalties are worse than small penalties, but 30 point differences are only moderately important.

A more subtle difference is in the bidding of partscore hands. In duplicate bridge, once a pair recognizes that they are playing for part score (less than a game), their objective is to win the auction with the minimum bid. In rubber bridge, it may occasionally be desirable to bid above this minimum as points below the line may be needed to complete a game.

Duplicate bridge also has the advantage of compensating for a bad run of luck with the cards. A pair that has had poor hands all night may still have the highest score for the evening – as long as they play those cards better than the other pairs with the same poor cards (however in such cases the pair will probably have had less opportunity to exercise skill and their result will be more heavily dependent on the skill displayed by their opponents).

Bridge organizations

The worldwide sport governing body in bridge is the World Bridge Federation, formed 1958 as the joint effort of American Contract Bridge League and European Bridge League.^{[citation needed]} In world bridge as of 2009, North America and Europe, or the ACBL and EBL, are the two largest of eight world Zones or zonal organizations, with about 160,000 and 400,000 registered players.^[5]

Zone	Organization	Area	Member Countries	Total Membership
1	European Bridge League (EBL)	Europe	47	393,164
2	American Contract Bridge League (ACBL)	North America	3	160,912
3	Confederacion Sudamericana de Bridge (CSB)	South America	10	4,384
4	Bridge Federation of Asia & the Middle East (BFAME)	Asia	13	9,188
5	Central American & Caribbean Bridge Federation (CAC)	Central America	20	1,384
6	Pacific Asia Bridge Federation (PABF)	Pacific Asia (Far East)	12	71,129
7	South Pacific Bridge Federation (SPBF)	Australia and Oceania	4	47,286
8	African Bridge Federation (ABF)	Africa	14	6,398

Registered European players are members of a National Bridge Federation such as the English Bridge Union. The NBFs in turn are members of the zonal EBL, which has 49 member "nations" in 2010.^[6] In North America the zonal ACBL is an organization of player members. For world competition, however, the ACBL "members" are the NBFs of Canada, Mexico, and the US, which operate a few tournaments that qualify national representatives to some world events.^[7]

The ACBL charters more than 300 Units associated with exclusive territories. They are independent organizations that operate some tournaments and promote bridge locally.^[8][9] ACBL members are considered members of Units determined by residence. North America is also divided into 25 Districts that operate some Regional meets.^[10] Players may also be members of clubs that operate some bridge competition sanctioned by the ACBL.

See also

• Bidding box
• Screen (bridge)
• Board (bridge)
• English Bridge Union
• Ben Cohen - originator of this type of bridge
• Tickets to the Devil - a novel by Richard P. Powell set in a National bridge event
• Duplicate Scrabble - a style of Scrabble inspired by duplicate bridge
• Duplicate poker - The concept of card duplication applied to the popular game of Poker

References

Cross-referenced duplicate bridge laws, complete with indexes http://www.bridgehands.com/Laws/ACBL/Duplicate/index.htm.

1. ^ http://www.bridgemate.us/
2. ^ http://www.ebu.co.uk/competitions/knockouts/hubertphillips/default.htm
3. ^ Official IMP Table
4. ^ Kelsey, H.W.: "Match-point bridge", Faber's "Master Bridge Series", 1970
5. ^ "Geographical zones". World Bridge Federation. http://www.worldbridge.org/zones/. Retrieved 2009-07-29. 
6. ^ EBL Member Countries. European Bridge League.
7. ^ Zone 2: American Contract Bridge League (ACBL). World Bridge Federation. Retrieved 2011-07-02.
8. ^ ACBL Units. ACBL. Retrieved 2011-07-02.
9. ^ Unit Agreement. ACBL. Retrieved 2011-07-02.
10. ^ ACBL Districts. ACBL. Retrieved 2011-07-02.

External links

• World Bridge Federation
• American Contract Bridge League (ACBL)
• European Bridge Federation
• English Bridge Union
• Duplicate scoring tables