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
Vickrey auction make $2 instead of $0. Because the seller's revenue can go up when bids are either increased or decreased, the seller's revenues are non-monotonic with respect to bids. The dominant strategy in a Vickrey auction with a single, indivisible item is for each bidder to bid their true value of the item. Let formula_1 be bidder i's value for the item. Let formula_2 be bidder i's bid for the item. The payoff for bidder i is formula_3 The strategy of overbidding is dominated by bidding truthfully. Assume that bidder i bids formula_4. If formula_5 then the bidder would win the