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"An immediate jump to 2NT is game forcing."
1m-p-2nt, forcing to 3nt at least in SAYC. Many people play this invitational, not forcing by agreement but that is not SAYC.
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How many points would this hand have? Is it game forcing in NT? What is my response?
I have a 12-point opener, do I bid 3NT?
It is showing 13-15 pts typically (occasionally 18-19 planning to rebid 4nt), & a balanced hand without a 4 cd major. Opener with a min 12 pt balanced hand will just bid 3nt. If opener is unbalanced, with a major suit singleton/void, he should rebid a side suit or his first suit to see if partner can show strength opposite the shortness by bidding the suit or rebidding 3nt with both majors well-stopped. If he can't, then perhaps 5m or 4M will be better, since the opponents have a 9+ cd fit there & you typically don't want to play in 3nt when one of your suits is JTx opposite x or Qxx opposite x. With little wastage opposite the shortness sometimes you even have slam in the suit when 3nt goes down.
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What do I bid if I have an 18HCP opener? Do I have to guess what s/he is forcing me with?
If you have 18 pts balanced, then you can just invite slam by bidding 4nt over 2nt.
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If my partner had enough points combined with a minimum opener, would it not be s/he to bid game rather than "force" me to?
Sometimes best to keep bidding low to look for a better game. Sure, maybe 90% of the time opener just bids 3nt, so 1m-2nt-3nt is not really any improvement over 1m-3nt. But occasionally you find that 3nt is not really the best spot. Also, it gives you something intelligent to do as responder with 16-17 bal (direct 3nt) or 18-19 bal (2nt followed by 4nt). If a direct 3nt was 13-15, & 2nt was 10-12, with these other hands you'd have to do a lot of contortions to show that range.
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Ditto on the "invite" 2NT.
On the invitational 2nt, only real decision is bid game or not, since it's NF. If not bidding game sometimes you rebid a minor to improve the partial.
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Is not a bid of No Trumps a limit bid - whether opening or responding? Would it have different parameters if you bid a suit first?
Notrumps is just quantitative bidding if both players are balanced. If one player is unbalanced, perhaps you don't belong in 3nt. If you can establish a GF below 3nt, then sometimes you can do good things like avoid 3nt when you have suit x opposite Jxx & opponents take first 5 tricks, but go ahead & play it with x opposite KQT.