Serious 3NT Serious 3NT Serious 3NT is a contract bridge bidding convention. It is used in game-forcing auctions where a major suit has been agreed upon. 1–2 if using 2/1 Game Forcing or 2–3 (Agreeing spades) The next bid indicates suitability for slam: Since Spades are the agreed trump suit, Three No Trump is not usually the best contract. Using Serious Three No Trump, a bid of Three No Trump says "I am Serious about slam", i.e. "I have a good hand". Bypassing bidding Three No Trump says "I am not Serious about Slam". Examples shown in the above auction. If one
Common value auction case, where there is always a SBNE (see first-price sealed-bid auction). The following example is based on. There are two bidders participating in a second-price sealed-bid auction for an object. Each bidder "i" receives signal "si"; the signals are independent and have continuous uniform distribution on [0,1]. The valuations are: where formula_5 are constants (formula_6 means private values; formula_7 means common values). Here, there is a unique SBNE in which each player bids: This result is in contrast to the private-value case, where in SBNE each player truthfully bids his value (see second-price sealed-bid auction). This example is suggested as