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Kokish Relay Problem

We had difficulty today on Board #16 of the Common Game (Sat, 23 April 2016). I'll show it here for your convenience.

North
A72
K64
963
Q653
South
KQ
AQ10932
A7
AK4
W
N
E
S
P
P
P
2
P
2
P
2
P
2
P
3
P
4
P
P
P

For us, opener has several ways to show an unbalanced hand with hearts :

1. A 2D opener shows a strong unbalanced hand with 4+ spades, and will have either 6+ spades, or a second suit, which may be hearts. That does not apply to this hand.

2. A 2C opener promises either a balanced hand (which may contain 4 or 5 spades), or an unbalanced hand with fewer than 4 spades. That describes this hand.  After responder's usual 2D waiting bid, opener can show hearts in four ways : 

2a. He can jump to 3H, setting hearts as trump, and demanding a control bid.  This is forcing to at least 4H. Not appropriate this time.

2b. He can employ the Kokish Relay : 2C - 2D (waiting) - 2H (hearts or big balanced) - 2S (forced) - 3H - ?

2c. Rare, but opener can jump to 3S to show 1444. Not this time.

2d. Opener can bid 2S to show exactly 4 hearts and a longer minor (recall that 2C denied an unbalanced hand with spades). Not here.

Sequence 2b applies in this case. Opener's 3H call denies a second suit, and can be passed. A secondary question is what should opener do if he's too good to be passed, jumping to 4H seems wrong, given that the hearts were not good enough to jump to 3H at his second turn?  Bidding 3NT might be OK, showing a stronger 6322 or 7222 (no auto-splinter). What if the other suits are not all stopped?

Responder's choices are now :

3. Since opener has denied 4 spades, responder can bid 3S naturally to show 5+ and game forcing values. Not on this hand.

4. Responder can bid 3NT naturally. Seems wrong on this hand, but maybe not.

5. Undiscussed, but presumably, responder can also show 5+ clubs or diamonds with 4C or 4D. Obviously not this time.

6. Responder can launch into Blackwood. Seems a bit optimistic here, I don't think responder is ready to take charge yet.

That pretty much leaves 4H to show heart support, which is likely to be passed.

The first thing that occurs to me is that responder with a good hand should break the relay, refusing to bid 2S. That raises two more questions - How strong should responder be to break the relay, and what the other bids (other than 2S) should show?

First thoughts :

a. 2NT should be avoided, opener might have the big balanced hand.

b. Heart support should be shown, in case opener has the unbalanced heart hand. Maybe 3H? What should the other bids show? Stoppers? Controls? Splinters? Other?

Suggestions? Discussion? Rants?

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