BERGEN RAISES convention for major open        

After an open in a major (5+ cards) there are a significative difference in the value of support when it's made with with 3 or 4 cards having the same high cards points (hcp). Opener knowing that the support was done with only 3 cards should always take a decision more pessimist than when the support was done with 4 cards.

In April,1982 Martin Bergen published in ACBL Bulletin the first version of this important convention aplyed for major open for distinguish a 3 cards support than a 4 or 5 cards support based in the Law of Total Tricks formuled by Jean-René Vernes in 1966 that established with high cards points divided (20-20 or 19-21 or 18-22) it is also possible fixed a safety level to bid depending on the partnership fit length:
 with   8 cards fit to play at level 2;
 with   9 cards fit to play at level 3,
 with 10 cards fit to play at level 4.

The convention is a very good orientation about Responder's strength when it's distribution is balanced (4333 or 4432):
Opener Responder
 1        2 <=     6-9 hcp with 3 cards support
 1        3 <=     7-9 hcp with 4 cards support
 1        3 <= 10-11 hcp with 4 cards support
 1        3 <=     2-6 hcp with 4 cards support
 1        4 <=     2-6 hcp with 5 cards support

 1        2 <=     6-9 hcp with 3 cards support
 1        3 <=     7-9 hcp with 4 cards support
 1        3 <= 10-11 hcp with 4 cards support
 1        3 <=     2-6 hcp with 4 cards support
 1        4 <=     2-6 hcp with 5 cards support

There are some variations of this convention like the bids is changed between 3 and 3 calling that the reverse bergen, so partnership could choose what version of Bergen raises will play.

invitation bids:
Opener Responder
 1        3 <= 7-9
 3  <= if you are maximum bid 4 or bid just 3 with minimum 
Opener Responder
 1        3 <= 7-9
 3  <= if you are maximum bid 4 or bid just 3 with minimum 
Opener Responder
 1        3 <= 10-11 hcp
 3  <= if you are maximum bid 4 or bid just 3 with minimum  

After 1 and the response in 3 (7-9) Opener can bid 3 asking Responder if he is minimum or maximum, and also make a trial bid in 3 asking if Responder have A or K or even a singleton to bid 4.

After 1 and the response in 3 Opener bids 3 asking if Responder is in a maximum to bid 4.

The conception of minimum / maximum should not be based in hcp's sum but principally in the quality of these hcps and also in additional distributional points.
The importants cards are A and K so if yours hcp have many Q and J that isn't so good.
Considering A = 2 controls and a K = 1 control then:
- response of 3 (7-9 hcp) is maximum with 3 controls;
- response of 3 (10-11 hcp) is maximum with 4 controls.
These considerations are for balanced distributions 4333/4432.

If the response hand have a singleton then it's maximum:
- for 3 with a singleton and 2 controls (A or 2K) in 7 hcp;
- for 3 with a singleton and 3 controls (A+K) in 10 hcp.

Corollary:
- distribution 4333 are always minimum;
- with distribution 5431 and 10-11 hcp bid game directly;
- if Opener makes a invitation Responder with singleton should accept. 

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