Sacrifice (bridge)


In duplicate bridge, a sacrifice is a deliberate bid of a contract that is unlikely to make in the hope that the points will be less than the points likely to be gained by the opponents in making their contract. In rubber bridge, a sacrifice is an attempt to prevent the opponents scoring a game or rubber on the expectation that positive scores on subsequent deals will offset the negative score.
Owing to the difference in the methods of scoring between duplicate and rubber bridge, a sacrifice bid in rubber bridge is much less likely to be advantageous and so strategies differ between the games.

Scoring context

WE can be doubled and go down...... if THEY can make a –
1 undertrickGame at unfavorable vulnerability
2 undertricksGame at equal vulnerability
3 undertricks
  • Game at favorable vulnerability
  • Any small slam at unfavorable vulnerability
4 undertricks
  • Small slam in clubs or diamonds at equal vulnerability
  • Small slam in hearts, spades, or notrump at non vul. vs non vul.
    • 5 undertricks
  • Small slam in clubs or diamonds at favorable vulnerability
  • Small slam in hearts, spades, or notrump at vul. vs vul.
  • Grand slam at unfavorable vulnerability
    • 6 undertricks
  • Small slam in hearts, spades, or notrump at favorable vulnerability
  • Grand slam at equal vulnerability
    • 7 undertricks
    8 undertricksGrand slam at favorable vulnerability
    In duplicate bridge scoring, if the opponents bid and make a game contract, it yields them 600 or 620 points when they are vulnerable and 400 or 420 points when they are not vulnerable, depending upon the and assuming no. Accordingly, a sacrifice will be advantageous if the resultant loss in points is less than these amounts.
    Determination of the most number of tricks than can be lost to satisfy this condition is dependent upon the relative of each partnership, i.e. whether one, the other, both or neither are vulnerable. The determination is also based upon the assumption that the opposition will double the sacrifice bid thereby increasing the penalty points. The table at left summarises the various scenarios and outcomes.
    In summary, when the opponents are likely to make a game contract, a sacrifice bid which is doubled is viable if one can go down no more than three tricks if vulnerability is favourable, two if vulnerability is equal and one if vulnerability is unfavourable.
    Similar reasoning can be drawn for sacrifices against potential and contracts and cases where one assumes that the contract will not be doubled.
    Sacrifices that are sure to get doubled and the opponents are sure to make their contracts are reasonable according to the following numbers. You should only sacrifice if you go down no more than the noted number of tricks.
    Against game contracts:
    vulnerable against nonvulnerable: can go down no more than 1.
    equal vulnerability: can go down 2.
    Nonvulnerable against vulnerable: you can go down 3 doubled, and you are still ahead.
    Against slam and grand slam contracts you can sacrifice profitably while going down many more tricks.
    slam:
    vulnerable against nonvulnerable: can go down 3.
    equal vulnerability: can go down 4.
    Nonvulnerable against vulnerable: you can go down 5 against a minor slam, or 6 against a major/nt slam.
    grand slam:
    vulnerable against nonvulnerable: can go down 5.
    equal vulnerability: can go down 6.
    Nonvulnerable against vulnerable: you can go down 8.

    Strategy

    A sacrifice most often occurs when both sides have found a fit during bidding, but the bidding indicates that the opponents can make a game or slam contract. Also, it is possible to perform an advance sacrifice, when it is more or less clear that the opponents have a fit somewhere and greater strength. For example, after the partner opens 1 and RHO doubles, the following hand is suitable for a bid of 5, outbidding opponents' major suit game in advance:
    As seen in the table above, vulnerability significantly affects the sacrifice: success is most likely if the opponents are vulnerable but the sacrificing side is not. At equal vulnerabilities, sacrifices are less frequent, and vulnerable sacrifices against non-vulnerable opponents are very rare and often not bid deliberately. Also, the specific duplicate scoring method affects the tactics of sacrifice - at matchpoint scoring, −500 or −800 against −620 is a 50/50 probability for a top or bottom score, but at international match points it can gain 3 IMPs but lose 5, making it less attractive.
    However, if it turns out that the sacrificing side misjudged, and that the opponents' contract was unmakeable, the sacrifice is referred to as a false or phantom one. A false sacrifice can cost heavily, as the sacrificing side has in effect turned a small plus into a minus score.
    The Law of total tricks can be a guideline as to whether the sacrifice can be profitable or not.
    Sacrifices are practically always made in a suit contract; sacrifices in notrump are extremely rare, but can occur, as in the following deal:
    The bidding starts:
    WestNorthEastSouth
    1
    212NT4?

    1 Michaels cuebid, indicating both majors.
    South can see that East-West have a huge spade fit and that it's quite possible that they can make 4. However, the best sacrifice seems to be 4NT rather than 5; it requires a trick less and there is no indication that 5 would provide more tricks than 4NT. Indeed, 4NT is down one and 5 down two.

    Other considerations in sacrifices

    The scoring matters a lot in sacrifices. Matchpoints scoring vs. IMP scoring makes a very significant difference in sacrifice decisions.
    Kit Woolsey suggests that the following three conditions should ALL be met for a sacrifice to make sense in Matchpoint scoring: