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
Dollar auction five cents. Bidding continues with the second highest bidder always losing more than the highest bidder and therefore always trying to become the high bidder. Only the auctioneer gets to profit in the end. The game is analogous to the war of attrition and penny auction and has a symmetric mixed strategy equilibrium (there are also asymmetric pure equilibria). Suppose we start with two players; player 1 moves in odd periods, while player 2 moves in even periods. When a player is behind, they are indifferent between raising and dropping out. If the opponent drops out with probability formula_1raising gives